論文專著：
專著：
[1] 余德浩, 自然邊界元方法的數(shù)學(xué)理論, 科學(xué)出版社, 北京, 1993.
(D.H. Yu, Mathematical Theoyr of Natural Boundary Element Method, Science Press, Beijing, 1993)
[2] D.H. Yu, The Natural Boundary Integral Method and Its Applications, Science Press & Kluwer Academic Publishers, 2002.
[3] 余德浩，自然邊界積分方法及其應(yīng)用，科學(xué)出版社，北京，2015.
研究生教材：
[3] 余德浩, 湯華中, 微分方程數(shù)值解法, 科學(xué)出版社, 北京, 2003.
刊物論文：
[1] 余德浩, 重調(diào)和橢圓邊值問題的正則積分方程，計(jì)算數(shù)學(xué), 4:3(1982), 330--336.
(D.H. Yu, Canonical integral equations of bi-harmonic elliptic boundary value problems, Math. Numer. Sinica, 4:3(1982), 330-336.)
[2] D.H. Yu, Numerical solutions of harmonic and biharmonic canonical integral equations in interior or exterior circular domains, J. Comp. Math., 1:1(1983), 52--62.
[3] 余德浩, 斷裂及凹角扇形域上調(diào)和正則積分方程的數(shù)值解，數(shù)值計(jì)算與計(jì)算機(jī)應(yīng)用, 4:3(1983), 183--188.
(D.H. Yu, Numerical solution of harmonic canonical integral equation over sector with crack and concave angle, J. on Numer. Meth. and Comp. Appl., 4:3(1983), 183--188.)
[4] D.H. Yu, Coupling canonical boundary element method with FEM to solve harmonic problem over cracked domain, J. Comp. Math., 1:3(1983), 195--202.
[5] D.H. Yu, Canonical boundary element method for plane elasticity problems, J. Comp. Math., 2:2(1984), 180--189.
[6] D.H. Yu, Approximation of boundary conditions at infinity for a harmonic equation, J. Comp. Math., 3:3(1985), 219--227.
[7] D.H. Yu, Canonical integral equations of Stokes problem, J Comp. Math., 4:1(1986), 62--73.
[8] D.H. Yu, A system of plane elasticity canonical integral equations and its application, J. Comp. Math., 4:3(1986), 200--211.
[9] I. Babuska, D.H. Yu, Asymptotically exact a-posteriori error estimator for biquadratic elements, Finite Elements in Analysis and Design, 3(1987), 341--354.
[10] D.H. Yu, Self-adaptive boundary element methods, ZAMM, 68:5(1988), 435--437.
[11] W.L. Wendland, D.H. Yu, Adaptive boundary element methods for strongly elliptic integral equations, Numerische Mathematik, 53(1988), 539--558.
[12] D.H. Yu, Mathematical foundation of adaptive boundary element methods, Lectures on the 2nd World Congress on Computational Mechanics, Stuttgart, 1990, 308--311; Comp. Meth. in Appl. Mech. and Engrg., 91(1991), 1237--1243.
[13] 余德浩, 雙偶次有限元的漸近準(zhǔn)確后驗(yàn)誤差估計(jì)，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 13:1(1991), 89--101;
D.H. Yu, Asymptotically exact a-posteriori error estimator for elements of bi-even degree, Chinese J. of Numer. Math. and Appl., 13:2(1991), 64--78.
[14] 余德浩, 雙奇次有限元的漸近準(zhǔn)確后驗(yàn)誤差估計(jì)，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 13:3(1991), 307--314;
D.H. Yu, Asymptotically exact a-posteriori error estimator for elements of bi-odd degree, Chinese J. of Numer. Math. and Appl., 13:4(1991), 82--90.
[15] 余德浩, 泊松方程及平面彈性問題有限元方法中求高階導(dǎo)數(shù)的提取法，計(jì)算數(shù)學(xué), 14:1(1992), 107--117.
(D.H. Yu, Extraction of higher derivatives in FEM for Poisson equation and plane elasticity problem, Math. Numer. Sinica, 14:1(1992), 107--117.)
[16] 余德浩, Stokes問題有限元逼近中求導(dǎo)數(shù)的提取法，計(jì)算數(shù)學(xué), 14:2(1992), 184--193.
(D.H. Yu, Extraction methods for derivatives in finite element approximations of Stokes problem, Math. Numer. Sinica, 14:2(1992), 184--193.)
[17] W.L. Wendland, D.H. Yu, A-posteriori local error estimates of boundary element methods with some pseudo-differential equations on closed curves, J. Comp. Math., 10:3(1992), 273--289.
[18] 余德浩, ****區(qū)域上Stokes問題的自然邊界元與有限元耦合法，計(jì)算數(shù)學(xué), 14:3(1992), 371--378;
D.H. Yu, The coupling of natural BEM and FEM for Stokes problem on unbounded domain, Chinese J. of Numer. Math. and Appl., 14:4(1992), 111--120.
[19] D.H. Yu, A-posteriori local error estimates for some finite and boundary element methods, Advances in Engineering Software, Special issue on accuracy estimate and adaptive meshes for FEM/BEM, 15(1992), 175--179.
[20] D.H. Yu, The approximate computation of hypersingular integrals on interval, Numer. Math. J. Chinese Univ., 1:1(1992), 114--127.
[21] D.H. Yu, The numerical computation of hypersingular integrals and its application in BEM, Advances in Engineering Software, 18(1993), 103--109.
[22] D.H. Yu, Natural boundary element method and adaptive boundary element method---Some new developments in the boundary element methods in China, Contemporary Mathematics 163, Computational Mathematics in China, Z.-C. Shi, C.-C. Yang eds., American Mathematical Society, 1994, 185--204.
[23] 余德浩, 有限元及邊界元計(jì)算中的自適應(yīng)方法，自然科學(xué)進(jìn)展 (Progress in Natural Science , Chinese Edition), 4:2(1994), 142—148；
D.H. Yu, Adaptive methods in finite and boundary element computations, Progress in Natural Science（English Edition）, 4:2(1994), 137--146.
[24] 余德浩, 圓周上超奇異積分計(jì)算及其誤差估計(jì)，高等學(xué)校計(jì)算數(shù)學(xué)學(xué)報(bào), 16:4(1994), 332--339.
(D.H. Yu, The computation of hypersingular integrals on circle and its error estimates, Numer. Math. J. Chinese Univ. 16:4(1994), 332--339.)
[25] 馮康，余德浩, 關(guān)于調(diào)和方程自然積分算子的一個(gè)定理，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 16:2(1994), 221--226;
K. Feng, D.H. Yu, A theorem for the natural integral operator of harmonic equation, Chinese J. of Numer. Math. and Appl., 16:3(1994), 95--101.
[26] 余德浩, ****區(qū)域上基于自然邊界歸化的一種區(qū)域分解算法，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 16:4(1994), 448--459;
D.H. Yu, A domain decomposition method based on the natural boundary reduction over unbounded domain, Chinese J. Num. Math. and Appl., 17:1(1995), 95--105.
[27] 余德浩, Steklov—Poincare算子與自然積分算子及Green函數(shù)間的關(guān)系，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 17:3(1995), 331--341;
D.H. Yu, On relationship between Steklov—Poincare operators and natural integral operators and Green functions, Chinese J. Numer. Math. & Appl., 17:4(1995), 95--106.
[28] 余德浩, ****區(qū)域非重疊區(qū)域分解算法的離散化及其收斂性，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 18:3(1996), 328--336;
D.H. Yu, Discretization of non-overlapping domain decomposition method for unbounded domains and its convergence, Chinese J. Numer. Math. and Appl., 18:4(1996), 93--102.
[29] 鄭權(quán), 余德浩, 基于半平面上自然邊界歸化的****區(qū)域的Schwarz交替法及其離散化，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 19:2(1997), 205--218;
Q. Zheng, D.H. Yu, A Schwarz alternative method for unbounded domains and its discretization based on natural boundary reduction over half-plane, Chinese J. Numer. Math. and Appl., 19:3(1997), 78--93.
[30] 鄭權(quán), 余德浩, ****區(qū)域上基于自然邊界歸化的雙調(diào)和方程的一種重疊型區(qū)域分解算法，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 19:4(1997), 438--448;
Q. Zheng, D.H. Yu, An overlapping domain decomposition method based on the natural boundary reduction for biharmonic boundary value problems over unbounded domains, Chinese J. Numer. Math. & Appl., 20:1(1998), 89--101.
[31] 鄭權(quán), 余德浩, 無窮扇形區(qū)域調(diào)和邊值問題的重疊型區(qū)域分解法，數(shù)值計(jì)算與計(jì)算機(jī)應(yīng)用, 19:1(1998), 64--73.
(Q. Zheng, D.H. Yu, An overlapping domain decomposition method for harmonic BVP on the unbounded sector domain, J. on Numer. Meth. and Comp. Appl., 19:1(1998), 64--73. )
[32] 余德浩, ****區(qū)域D-N區(qū)域分解算法的松弛因子選取與收斂速率，計(jì)算物理, 15:1(1998), 53--57.
(D.H. Yu, Selection of relaxation factor and convergence rate for D-N DDM over unbounded domain, Chinese J. of Comp. Physics, 15:1(1998), 53--57.)
[33] 蔚喜軍，余德浩，包玉珍，自適應(yīng)有限元方法和后驗(yàn)誤差估計(jì),計(jì)算物理, 15:5(1998), 513--530.
(X.J. Yu, D.H. Yu, Y.Z. Bao, The adaptive finite element methods and a posteriori error estimates, Chinese J. of Comp. Physics, 15:5(1998), 513--530.)
[34] 鄔吉明, 余德浩, 區(qū)間上超奇異積分的一種近似計(jì)算方法，數(shù)值計(jì)算與計(jì)算機(jī)應(yīng)用 (J. on Numer. Meth. \& Comp. Appl.), 19:2(1998), 118--126;
J.M. Wu, D.H. Yu, An approximate computation of hypersingular integrals on interval, Chinese J. Numer. Math. & Appl., 21:1(1999), 25--33.
[35] 鄔吉明, 余德浩, 三維調(diào)和問題的自然積分方程及其數(shù)值解，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 20:4(1998), 419--430;
J.M. Wu, D.H. Yu, The natural integral equations of 3-D harmonic problems and their numerical solutions, Chinese J. Numer. Math. & Appl., 21:1(1999), 73--85.
[36] 杜其奎，余德浩, 拋物型初邊值問題的有限元與邊界積分耦合的離散化及其誤差分析，計(jì)算數(shù)學(xué), 21:2(1999), 199--208.
(Q.K. Du, D.H. Yu, Discretization of the coupling of finite element and boundary integral and its error analysis for parabolic initial boundary value problem, Math. Numer. Sinica, 21:2(1999), 199--208.)
[37] Q.K. Du, D.H. Yu, On a class of coupled variational formulations for a nonlinear parabolic equation, Northeast. Math. J., 15:3(1999), 332--340.
[38] 鄔吉明, 余德浩, 三維Helmholtz方程外問題的自然積分方程及其數(shù)值解，計(jì)算物理, 16:5(1999), 449--456.
(J.M. Wu, D.H. Yu, The natural integral equation of 3-D exterior Helmholtz problem and its numerical solution, Chinese J. of Comp. Physics, 16:5(1999), 449--456.)
[39] 杜其奎，余德浩, 拋物型初邊值問題的自然積分方程及其數(shù)值解法，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 21:4(1999), 495--506;
Q.K. Du, D.H. Yu, The natural integral equation for initial boundary value problem of parabolic equation and its numerical implementation, Chinese J. Numer. Math. & Appl., 22:1(2000), 88--101.
[40] 鄭權(quán), 余德浩, 平面彈性方程外問題的非重疊區(qū)域分解算法，數(shù)值計(jì)算與計(jì)算機(jī)應(yīng)用(J. on Numer. Meth. and Comp. Appl.), 21:1(2000), 11--21;
Q. Zheng, D.H. Yu, A non-overlapping domain decomposition method of the exterior problem of plane elasticity equation, Chinese J. Numer. Math. & Appl., 22:3(2000), 12--24.
[41] J.M. Wu, D.H. Yu, The overlapping domain decomposition method for harmonic equation over exterior 3-D domain, J. Comp. Math., 18:1(2000), 83--94.
[42] 余德浩, 賈祖朋, 二維Helmholtz方程外問題基于自然邊界歸化的非重疊型區(qū)域分解算法，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 22:2(2000), 227--240;
D.H. Yu, Z.P. Jia, The non-overlapping DDM based on natural boundary reduction for 2-D exterior Helmholtz problem, Chinese J. Numer. Math. & Appl., 22:3(2000), 55--72.
[43] 杜其奎, 余德浩, 非線性拋物方程耦合的離散化及其誤差分析，高等學(xué)校計(jì)算數(shù)學(xué)學(xué)報(bào), 22:2(2000), 159--168.
(Q.K. Du, D.H. Yu, Discretization of the coupling for nonlinear parabolic equation and its error analysis, Numer. Math., J. Chinese Univ., 22:2(2000), 159--168.)
[44] 鄔吉明, 余德浩, 橢圓外區(qū)域上的自然邊界元法，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 22:3(2000), 355—368;
J.M. Wu, D.H. Yu, The natural boundary element method for exterior elliptic domain, Chinese J. Numer. Math. & Appl., 22:4(2000), 91--104.
[45] 康彤, 余德浩, 發(fā)展型對(duì)流占優(yōu)擴(kuò)散方程的FD-SD法的后驗(yàn)誤差估計(jì)及空間網(wǎng)格調(diào)節(jié)技術(shù)，數(shù)值計(jì)算與計(jì)算機(jī)應(yīng)用(J. Numer. Meth. & Comp. Appl.), 21:3(2000), 194—207;
T. Kang, D.H. Yu, A posteriori error estimate of FD--SD method for time-dependent convection-- dominated diffusion equation and adjustment technique of space mesh, Chinese J. Numer. Math. & Appl., 22:4(2000), 76--90.
[46] 鄭權(quán), 余德浩, 利用自然邊界歸化求解平面彈性方程外邊值問題的Schwarz算法，高等學(xué)校計(jì)算數(shù)學(xué)學(xué)報(bào), 22:3(2000), 222--231.
(Q. Zheng, D.H. Yu, A Schwarz method for solving the exterior boundary value problem of plane elasticity equation by using natural boundary reduction, Numer. Math. J. Chinese Univ., 22:3(2000), 222--231.)
[47] 康彤, 余德浩, 二維發(fā)展型對(duì)流占優(yōu)擴(kuò)散方程的FD-SD法的后驗(yàn)誤差估計(jì)，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 22:4(2000), 487--500;
T. Kang, D.H. Yu, A posteriori error estimate of FD--SD method for two-dimensional time-dependent convection-dominated diffusion equation, Chinese J. Numer. Math. & Appl., 23:1(2001), 93--107.
[48] 杜其奎, 余德浩, 擴(kuò)散問題的一種非重疊型區(qū)域分解算法，重慶建筑大學(xué)學(xué)報(bào), 22:6(2000), 7--11.
(Q.K. Du, D.H. Yu, A non-overlapping domain decomposition method for scattering problems, J. of Chongqing Jianzhu University, 22:6(2000), 7--11.)
[49] 杜其奎, 余德浩, 拋物方程基于自然邊界歸化的耦合法，The coupling method based on the natural boundary reduction for parabolic equation, 計(jì)算物理, 17:6(2000), 593--601.
(Q.K. Du, D.H. Yu, The coupling method based on the natural boundary reduction for parabolic equation, Chinese J. of Comput. Physics, 17:6(2000), 593--601.)
[50] D.H. Yu, J.M. Wu, A nonoverlapping domain decomposition method for exterior 3-D problem, J. Comput. Math., 19:1(2001), 77--86.
[51] 杜其奎, 余德浩, 關(guān)于二維雙曲型初邊值問題的自然積分方程，應(yīng)用數(shù)學(xué)學(xué)報(bào), 24:1(2001), 17--26.
(Q.K. Du, D.H.Yu, On the natural integral equation for initial boundary value problems of 2-D hyperbolic equation, Acta Mathematicae Applicatae Sinica24:1(2001), 17--26.,)
[52] 胡齊芽, 余德浩, Signorini傳輸問題的有限元—邊界元耦合，中國科學(xué)(Series A, Chinese Edition), 31:2(2001), 124--135;
Q.Y. Hu, D.H. Yu, A coupling of FEM--BEM for a kind of Signorini contact problem, Science in China (Series A, English Edition), 44:7(2001), 895--906.
[53] Q.Y. Hu, D.H. Yu, Solving singularity problems in unbounded domains by coupling of natural BEM and composite grid FEM, Applied Numerical Mathematics, 37(2001), 127--143.
[54] 賈祖朋, 鄔吉明, 余德浩, 三維Helmholtz方程外問題的自然邊界元與有限元耦合法， 計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 23:3(2001), 357—368;
Z.P. Jia, J.M. Wu, D.H. Yu, The coupling natural boundary--finite element method for solving 3-D exterior Helmholtz problem, Chinese J. Numer. Math. & Appl., 23:4(2001), 79--93.
[55] Q.Y. Hu, D.H. Yu, A solution method for a certain nonlinear interface problem in unbounded domains, Computing, 67(2001), 119--140.
[56] 杜其奎, 余德浩, 波動(dòng)方程基于自然邊界歸化的區(qū)域分解算法，計(jì)算物理, 18:5(2001), 417--422.
(Q.K. Du, D.H. Yu, Domain decomposition methods based on natural boundary reduction for wave equation, Chinese J. of Computational Physics, ) 18:5(2001), 417--422.
[57] 康彤, 余德浩, 一維Burgers 方程的FD-SD法的后驗(yàn)誤差估計(jì)及空間網(wǎng)格調(diào)節(jié)技術(shù)，工程數(shù)學(xué)學(xué)報(bào), 18:4(2001), 49--54.
(T. Kang, D.H. Yu, A posteriori error estimate of FD-SD method for one-dimensional Burgers equation and adjustment technique of space mesh, J. Engrg. Math., 18:4(2001), 49--54.)
[58] 賈祖朋, 余德浩, 二維Helmholtz 方程外問題基于自然邊界歸化的重疊型區(qū)域分解算法，數(shù)值計(jì)算與計(jì)算機(jī)應(yīng)用(J. on Numer. Meth. and Comp. Appl.), 22:4(2001), 241--253;
Z.P. Jia, D.H. Yu, The overlapping DDM based on natural boundary reduction for 2-D exterior Helmholtz problem, Chinese J. Numer. Math. & Appl., 24:1(2002), 1--15.
[59] 余德浩, 有限元、自然邊界元與辛幾何算法，高等數(shù)學(xué)研究, 4:4(2001), 5--10.
(D.H. Yu, Finite element methods, natural boundary element method, and simplectic algorithms, Studies in College Mathematics, 4:4(2001), 5--10.)
[60] Q.Y. Hu, D.H. Yu, A preconditioner for coupling system of natural boundary element and composite grid finite element, J. Comput. Math., 20:2(2002), 165--174.
[61] 余德浩, 計(jì)算數(shù)學(xué)與科學(xué)工程計(jì)算及其在中國的若干發(fā)展，數(shù)學(xué)進(jìn)展, 31:1(2002), 1--6. 
(D.H. Yu, Some developments of computational mathematics and scientific/engineering computing in China, Advances in Mathematics (China), 31:1(2002), 1--6.)
[62] Q.K. Du, D.H. Yu, Natural boundary element method for elliptic boundary value problems in domain with concave angle, J. of Marine Science and Technology, 9:2(2001), 75--83.
[63] 康彤, 余德浩, 一階雙曲問題的間斷流線擴(kuò)散法的后驗(yàn)誤差估計(jì)，應(yīng)用數(shù)學(xué)和力學(xué)(Chinese Edition), 23:6(2002), 653—660;
T. Kang, D.H. Yu, A posteriori error estimate of the DSD method for first-order hyperbolic equations, Applied Mathematics and Mechanics (English Edition), 23:6(2002), 732--740.
[64] T. Kang, D.H. Yu, Some a posteriori error estimates of the finite-difference streamline- diffusion method for convection-dominated diffusion equations, Advances in computational Mathematics, 15(2001), 193--218.
[65] Q.K. Du, D.H. Yu, A domain decomposition method based on natural boundary reduction for nonlinear time-dependent exterior wave problems, Computing, 68(2002), 111--129.
[66] 余德浩, 賈祖朋, 橢圓邊界上的自然積分算子及各向異性外問題的耦合算法，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 24:3(2002), 375--384;
D.H. Yu, Z.P. Jia, Natural integral operator on elliptic boundary and the coupling method for an anisotropic problem, Chinese J. Numer. Math. & Appl., 24:4(2002), 95--107.
[67] Q.K. Du, D.H. Yu, Dirichlet-Neumann alternating algorithm based on the natural boundary reduction for the time-dependent problems over an unbounded domain, Applied Numerical Mathematics, 44(2003), 471--486.
[68] 杜其奎, 余德浩, 凹角型區(qū)域橢圓邊值問題的自然邊界歸化，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 25:1(2003), 85--98;
Q.K. Du, D.H. Yu, The natural boundary reduction for some elliptic boundary value problems with concave angle domains, Chinese J. Numer. Math. & Appl., 25:2(2003), 10--27.
[69] H.B. Chen, D.H. Yu, E. Schnack, A simple a-posteriori error estimation for adaptive BEM in elasticity, Computational Mechanics, 30(2003), 343--354.
[70] Y.P. Chen, Y.Q. Huang, D.H. Yu, A two-grid method for expanded mixed finite-element solution of semi-linear reaction-diffusions, Inter. J. Numer. Methods Engrg., 57(2003), 193--209.
[71] D.H. Yu, Q.K. Du, The coupling of natural boundary element and finite element method for 2D hyperbolic equations, J. Comput. Math., f 21:5(2003), 585--594.
[72] Y.P. Chen, D.H. Yu, Super-convergence of least-squares mixed finite element for second order elliptic problems, J. Comput. Math., 21:6(2003), 825--832.
[73] D.H. Yu, Natural boundary integral method and its new development, J. Comput. Math., 22:2(2004), 309--318.
[74] 吳正朋, 余德浩, 解一類半線性外邊值問題的自然邊界元與有限元耦合法，計(jì)算數(shù)學(xué)(Math. Numer. Sinica), 26:2(2004), 237—246;
Z.P. Wu, D.H. Yu, The coupling of natural boundary element and finite element for semilinear boundary value problems, Chinese J. Numer. Math. & Appl., 26:3(2004), 86--95.
[75] Q.K. Du, D.H. Yu, Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains, Comm. Numer. Meth. Engrg, 20(2004), 363--378.
[76] D.H. Yu, L.H. Zhao, Natural boundary integral method and related numerical methods, Engrg. Anal. with BE, 28:8(2004), 937--944.
[77] 余德浩, 自然邊界積分方程及相關(guān)計(jì)算方法，燕山大學(xué)學(xué)報(bào), 28:2(2004), 111-113.
(D.H. Yu, Natural boundary integral equations and related computational methods, J. of Yanshan Univer., 28:2(2004), 111-113.)
[78] Z.P. Wu. T. Kang, D.H. Yu, On the coupled NBEM and FEM for a class of nonlinear exterior Dirichlet problem in R^2, Science in China, Series A, Mathematics, 47, Supp., Apr. 2004, 181--189.
[79] Q.Y. Hu, Z.C. Shi, D.H. Yu, Efficient solvers for saddle-point problems arising from domain decompositions with Lagrange multipliers, SIAM J. Numer. Anal., 42:3(2004), 905--933.
[80] T. Kang, Z.P. Wu, D.H. Yu, An H-based A-\Phy method with a nonmatching grid for eddy current problem with discontinuous coefficients, J. Comput. Math., 22:6(2004), 881-- 894.
[81] 吳正朋, 余德浩, 一類各向異性半線性橢圓方程自然邊界元與有限元耦合法，計(jì)算物理, 21:6(2004), 477—483.
(Z.P. Wu, D.H. Yu, The coupling of natural boundary element and finite element for semilinear boundary value problems, Chinese J. Comput. Physics, 21:6(2004), 477—483. )
[82] 吳正朋，李琳，余德浩，橢圓邊值問題的基于自然邊界歸化的重疊型區(qū)域分解算法，北京廣播學(xué)院學(xué)報(bào)，11:1(2004), 10-12.
[83] 張輝，吳正朋，余德浩，各項(xiàng)異性問題的基于自然邊界歸化的重疊型區(qū)域分解算法，首都師范大學(xué)學(xué)報(bào)，25:3(2004), 18-20.
[84] 康彤，吳正朋，余德浩，****區(qū)域渦流問題計(jì)算磁場的非重疊區(qū)域分解方法，北京廣播學(xué)院學(xué)報(bào)，11:4(2004), 12-17.
[85] 姜子文, 余德浩, Sobolev方程的矩形網(wǎng)格混合體積元方法，山東師范大學(xué)學(xué)報(bào), 20:1 (2005), 1--5.
(Z.W. Jiang, D.H. Yu, Mixed covolume methods on rectangular grids for Sobolev equation, J. Shandong Normal Univ. 20:1(2005), 1--5.)
[86] D.H. Yu, L.H. Zhao, Boundary integral equations and a posteriori error estimates, Tsinghua Science and Technology, 10:1(2005), 35--42.
[87] 董正筑, 李順才，余德浩, 圓內(nèi)平面彈性問題的邊界積分公式，應(yīng)用數(shù)學(xué)和力學(xué)(Applied Mathematics and Mechanics, Chinese Edition), 26:5(2005), 556—560;
Z.Z. Dong, S.C. Li, D.H. Yu, Boundary integral formula of elastic problems in circle plane, Applied Mathematics and Mechanics (English Edition), 26:5(2005), 604--608.
[88] J.E. Yang, Q.Y. Hu, D.H. Yu, Domain decomposition with non-matching grids for coupling of FEM and natural BEM, J. of Systems Science and Complexity, 18:4(2005), 529-542.
[89] H.B. Chen, X.F. Guo, D.H. Yu, Regularized hyper-singular boundary integral equations for error estimation and adaptive mesh refinement, Building Research Journal, 53:1(2005), 33-44.
[90] Q.Y. Hu, D.H. Yu, Iteratively solving a kind of Signorini transmission problem in a unbounded domain, ESIAM: Math. Model. And Numer. Anal., 39:4(2005), 715-726.
[91] S. Zhang, D.H. Yu, A mortar element method for coupling natural boundary element method and finite element method for unbounded domain problem, Contemporary Mathematics, 383, Recent Advances in Adaptive Computation, Z.C. Shi et al. eds., American Mathematical Society, 2005, 361-374.
[92] H.Y. Huang, D.H. Yu, Natural boundary element method for three dimensional exterior harmonic problem with an inner prolate spheroid boundary, J. Comput. Math., 24:2(2006), 193-208.
[93] J.E. Yang, D.H. Yu, Domain decomposition with nonmatching grids for exterior transmission problems via FEM and DtN mapping, J. Comput. Math., 24:3(2006), 323-342.
[94] 董正筑，李順才，余德浩，圓外平面彈性問題的邊界積分公式，應(yīng)用數(shù)學(xué)和力學(xué)(Applied Mathematics and Mechanics)，27:7（2006），867-873;
Z.Z. Dong, S.C. Li, D.H. Yu, Boundary integral formula for the elastic plane problem of exterior circular domain, Applied Mathematics and Mechanics, 27:7, 2006, 993-1000.
[95] S. Zhang, D.H. Yu, Multigrid algorithm for the coupling system of natural boundary element method and finite element method for unbounded domain problems, J. Comput. Math., 25:1(2007), 13-26.
[96] D.J. Liu, D.H. Yu, The coupling method of natural boundary element and finite element for KPZ equation in unbounded domains, J. of Univ. of Sci. And Tech. of China, 37:11(2007), 1363-1368.
[97] Y. Liu, Q.Y. Hu, D.H. Yu, A non-overlapping domain decomposition for low-frequency time-harmonic Maxwell’s equations in unbounded domains, Adv. in Comput. Math., 28:4(2008), 355-382.
[98] D.J. Liu, D.H. Yu, A FEM-BEM formulation for an exterior quasilinear elliptic problem in the plane, J. Comput. Math., 26:3(2008), 378-389.
[99] D.H. Yu, H.Y. Huang, The artificial boundary method for a nonlinear interface problem on unbounded domain, CMES: Computer Modeling in Engineering & Sciences, 35:3, 2008, 227-252.
[100] Y.T. Zhou, X. Li, D.H. Yu, Integral method for contact problem of bonded plane material with arbitrary cracks, CMES: Computer Modeling in Engineering & Sciences, 36:2, 2008, 147-172.
[101] D.J. Liu, D.H. Yu, The coupling method of natural boundary element and mixed finite element for stationary N-S equation in unbounded domains, CMES: Computer Modeling in Engineering \& Sciences, 37:3, 2008, 305-330.
[102] X.P. Zhang, J.M. Wu，D.H.Yu, Superconvergence of the composite Simpson's rule for a certain finite-part integral and its applications, J. Comput. \& Appl. Math., 223:2, 2009, 598-613.
[103] H.Y. Huang, D.H. Yu, The ellipsoid artificial boundary method for some problems in 3D unbounded domains, J. Comput. Math., 27:2-3, 2009, 196-214.
[104] J. Li, J.M. Wu, D.H. Yu, Extrapolation for computation of hypersingular integrals in boundary element methods, CMES: Computer Modeling in Engineering & Sciences, 42:2, 2009, 151-175.
[105] X.P. Zhang, J.M. Wu, D.H. Yu, The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle, Computing, 85, 2009, 219-244.
[106] H.Y. Huang, D.J. Liu, D.H. Yu, Solution of exterior problem using ellipsoidal artificial boundary, J. of Comput. & Appl. Math., 231, 2009, 434-446.
[107] Y.T. Zhou, X. Li, D.H. Yu, Transient thermal response of a partially insulated crack in an orthotropic functionally graded strip under convective heat supply, CMES: Computer Modeling in Engineering & Sciences, 43:3, 2009, 191-221.
[108] X.P. Zhang, J.M. Wu, D.H. Yu, The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application, Inter. J. Computer Math., 87:4, 2009, 855-876.
[109] J. Li, X.P. Zhang, D.H. Yu, Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals, J. of Comput. & Appl. Math., 233, 2010, 2841-2854.
[110] Y.T. Zhou, X. Li, D.H. Yu, Integral methods for smooth contact problem of bounded plane material with cracks, Recent Studied in Meshless Methods, 2009, 143-151.
[111] Y.T. Zhou, X. Li, D.H. Yu, A partially insulated interface crack between an orthotropic graded coating and an orthotropic homogeneous substrade under heat flux supply, Inter. J. of Solids and Structures, 47, 2010, 768-778.
[112] 鄭權(quán)，王沖沖，余德浩， ****區(qū)域Stokes問題非重疊型區(qū)域分解算法及其收斂性， 計(jì)算數(shù)學(xué)，32：2，2010，113-124.
[113] D.J. Liu, J.M. Wu, D.H. Yu, The supconvergence of the Newton-Cotes rule for Cauchy principal value integrals, J. of Comput. & Appl. Math., 235, 2010, 696-707.
[114] Q.Y. Hu, D.H. Yu, A preconditioner for a kind of coupled FEM-BEM variational inequality, Science China, Mathematics, 53:11, 2010, 2811-2830.
[115] 李金，余德浩， 牛頓－科茨公式計(jì)算超奇異積分的誤差估計(jì)，計(jì)算數(shù)學(xué)，33:1, 2011, 77-86.
[116] J. Li, D.H. Yu, The superconvergence of certain two-dimensional Cauchy principal value integrals, CMES: Computer, Modeling in Engineering & Sciences, 71:4, 331-346, 2011.
[117] J.E. Yang, D.H. Yu, The coupling FEN and natural BEM for a certain nonlinear interface problem with non-matching grids, CMES: Computer, Modeling in Engineering & Sciences, 73:3, 311-330, 2011.
[118] Y.T. Zhou, J. Li,D.H. Yu, K.Y. Lee, Numerical solution of hypersingular equation using recursive wavelet on invariant set, Applied Mathematics and Computation, 217, 2010, 861-868.
[119] J. Li, D.H. Yu, The superconvergence of certain two-dimensional Hilbert singular integrals, CMES: Computer, Modeling in Engineering & Sciences, 82:4, 233-252, 2011.
[120] H.Y. Huang, J.E. Yang, D.H. Yu, A coupling of local discontinuous Galerkin and natural boundary element method for exterior problems, J. Sci. Comput., 53, 512-527, 2012.
[121] J.E. Yang, H.Y. Huang, D.H. Yu, A domain decomposition method based on natural BEM and mixed FEM for stationary Stokes equations on unbounded domains, CMES: Computer, Modeling in Engineering & Sciences, 85:4, 347-366, 2012.
[122] J. Li, X.P. Zhang, D.H. Yu, Extrapolation methods to compute hypersingular integral in boundary element methods, SCIENCE CHINA Mathematics, 56:8, 1647–1660, 2013.
[123] J. Li, D.H. Yu, Error Expansion of Classical Trapezoidal Rule for Computing Cauchy Principal Value Integral, CMES: Computer, Modeling in Engineering & Sciences, 93:1, 47-67, 2013.
[124] J. Li, J.E. Yang, D.H. Yu, Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval, Inter. J. Of Computer Mathematics, 91:10, 2294-2306, 2014.
[125] J. Li, H.X. Rui, D.H. Yu, Composite Simpson’s rule for computing supersingular integral on circle, CMES: Computer, Modeling in Engineering & Sciences, 97:6, 463-481, 2014.
部分會(huì)議論文:
[1] K. Feng, D.H. Yu, Canonical integral equations of elliptic boundary value problems and their numerical solutions, Proceedings of China-France Symposium on the Finite Element Method (1982, Beijing), Science Press, Beijing, 1983, 211--252.
[2] D.H. Yu, Error estimates for the canonical boundary element method, Proc. of the 1984 Beijing Symposium on Differential Geometry and Differential Equations, Feng Kang ed., Science Press, Beijing, 1985, 343--348.
[3] D.H. Yu, A-posteriori error estimates and adaptive approaches for some boundary element methods, Boundary Elements IX, Brebbia, C.A., Wendland, W.L., Kuhn, G. eds., Springer-Verlag, Heidelberg, 1987, 241--256.
[4] D.H. Yu, Some mathematical aspects of adaptive boundary elements, Proc. of the 2nd China-Japan Symposium on Boundary Element Methods, Du Qing-hua, Tanaka, M. eds., Tsinghua Univ. Press, Beijing, 1988, 297--304.
[5] D.H. Yu, Mathematical foundation of adaptive boundary element methods, Lectures on the 2nd World Congress on Computational Mechanics, Stuttgart, 1990, 308--311.
[6] D.H. Yu, A direct and natural coupling of BEM and FEM, Boundary Elements XIII, Brebbia, C.A., Gipson, G.S. eds., Computational Mechanics Publications, Southampton, 1991, 995--1004.
[7] D.H. Yu, The p-adaptive boundary element method and its a-posteriori error estimator, Proc. of the 4th China-Japan Symposium on Boundary Element Methods, Du Qing-hua, Tanaka, M. eds., International Academic Publishers, Beijing, 1991, 3--8.
[8] D.H. Yu, The domain decomposition method of alternative FEM and natural BEM over unbounded domain, Proc. of the 6th China-Japan Symposium on Boundary Element Methods, International Academic Publishers, Beijing, 1994, 3--7.
[9] D.H. Yu, Domain decomposition methods for unbounded domains, Proc. of 8th Inter. Conf. on DDM (1995, Beijing), Eds. R. Glowinski, J. Periaux, Z. Shi and O. Windlund, John Wiley & Sons Ltd., New York, 1997, 125--132.
[10] D.H. Yu, D-N domain decomposition method based on natural boundary reduction and its relaxation factor, Proc. of the 8th China--Japan Symp. on BEM, Yao and Tanaka eds., Inter. Academic Publishers, 1998, 6--10.
[11] D.H. Yu, J.M. Wu, An overlapping domain decomposition method and its discretization for harmonic equation over exterior 3-D domain, Proc. of the 8th China--Japan Symp. on BEM, Yao and Tanaka eds., Inter. Academic Publishers, 1998, 17--22.
[12] D.H. Yu, Domain decomposition method based on NBIE for plane elasticity problem in infinite domain, Proc. of 3rd China-Japan Symposium on Computational Mathematics (Dalian, 1996), Zhong-ci Shi and M. Mori eds., Science Press, Beijing, 1998, 170--179.
[13] D.H. Yu, The natural integral operators and the domain decomposition methods for 3-D exterior problems, Proc. of the 4th Japan--China Joint Seminar on Numerical Mathematics (Chiba, 1998), H. Kawarada, M. Nakamura and Z. Shi eds., Gakkotosho, Tokyo, 1999, 163--170.
[14] D.H. Yu, Some developments of the natural boundary element method, Bounary Elements XXII, C.A. Brebbia, H. Power eds., WIT Press, Southampton, 2000, 481--490.
[15] Q.Y. Hu, D.H. Yu, The Coupling of natural BEM and composite grid FEM, Domain Decomposition Methods in Sciences and Engineering, Proc. of 12th Inter. Conf. on DDM (Chiba, Japan, 1999), T. Chan, T. Kako, H. Kawarada, O. Pironneau eds., ddm.org, 2001, 133--142.
[16] H.B. Chen, D.H. Yu, E. Schnack, Properties of boundary integral operators in collocation BEM error estimation, Advances in Computational Engineering & Sciences, Proc. of ICES'02, Eds. S.A. Atluri & D.W. Pepper, Tech. Science Press, 2002.
[17] D.H. Yu, L.H. Zhao, Analysis of hypersingular residuals and a posteriori error estimates in boundary element methods, Boundary Element Techniques, Proc. of 3rd Inter. Conf. on Boundary Element Techniques, Eds. Z. Yao & M.H. Aliabadi, Tsinghua University Press/Springer, 2002, 261--266.
[18] S. Zhang, D.H. Yu, Preconditioners for coupling natural BEM and FEM, Advance in Boundary Integral Methods, K. Chen ed., The University of Liverpool, 2005, 32-41.
[19] J.E. Yang, Q.Y. Hu, D.H. Yu, A D-N alternating method with non-matching FE and natural BE grids, Proc. Of 7 China-Japan Seminar on numerical mathematics, Z.C. Shi, H. Okamoto eds., Science Press, 2006, 286-298.
[20] H.Y. Huang, D.H. Yu, Coupling of natural BEM and FEM for 3D nonlinear interface problem, Proc. Of ICCES’07, Tech. Science Press, 2007.
[21] H.Y. Huang, D.H. Yu, The coupled NBEM and FEM for 3D exterior problem with a prolate spherical artificial boundary, Proc. Of the 4th Inter. Workshop on Scientific Computing and Applications, B.Y. Guo & Z.C. Shi eds., Science Press, 117-122.
其它學(xué)術(shù)論著：
[1] 馮康，余德浩, 自然邊界歸化與區(qū)域分解，Natural boundary reduction and domain decomposition, 馮康文集Collected Works of Feng Kang, Vol. 1, 國防工業(yè)出版社Defence Industrial Press, 北京Beijing, 1994, 367--371.
[2] D.H. Yu, W.M. Xue, H.C. Huang, A Dirichlet-Neumann alternating method in infinite domain: algorithm and convergence analysis, Research Report, ICM-95-31, Chinese Academy of Sciences; Technical Report, Math-092, Dept. of Math., Hong Kong Baptist University, 1995， 117--148.
[3] 余德浩，有限元法與邊界元法，現(xiàn)代數(shù)學(xué)手冊(cè)(徐利治主編)，計(jì)算機(jī)數(shù)學(xué)卷，華中科技大學(xué)出版社，2001，117-148.
[4] 余德浩，何銀年，邊界元及與有限元耦合法，有限元理論與方法，第一分冊(cè)（黃艾香，周天孝主編），科學(xué)出版社，2009，226－259.
[5] 余德浩，計(jì)算數(shù)學(xué)(分篇主編)，數(shù)學(xué)大辭典(王元總主編)， 2010，科學(xué)出版社。
[6] 余德浩，李金（譯），計(jì)算數(shù)學(xué)與科學(xué)計(jì)算，《數(shù)學(xué)指南－實(shí)用數(shù)學(xué)手冊(cè)》（李文林等譯）第7章，科學(xué)出版社，2012.
其它文章：
[1] 余德浩、王烈衡、汪道柳，懷念恩師馮康教授，中國科學(xué)報(bào)，1994年8月19日.
[2] 徐福臻、余德浩，馮康傳，《中國現(xiàn)代數(shù)學(xué)家傳》(第三卷)，江蘇教育出版社，1998，313-342.
[3] 余德浩、汪道柳，為計(jì)算數(shù)學(xué)的發(fā)展奮斗終生---追憶馮康院士, 中國科學(xué)院院刊, 13:2(1998), 143--147.
[4] 余德浩，基礎(chǔ)研究是水,應(yīng)用開發(fā)是魚，科學(xué)時(shí)報(bào)，1999年10月23日.
[5] 余德浩，大規(guī)�？茖W(xué)計(jì)算研究, 中國基礎(chǔ)科學(xué)，2001年第1期,19--25.
[6] 余德浩，馮康--中國科學(xué)計(jì)算的奠基人和開拓者, 科學(xué), 53:1(2001),49--51.
[7] 余德浩，科學(xué)與工程計(jì)算研究的回顧與展望, 中國科學(xué)院院刊, 16:6(2001),403--407. A review and prospect for scientific and engineering computing in China, Bulletin of the Chinese Academy of Sciences ,16:1(2002),49-52.
[8] 余德浩、王占金，實(shí)踐出題、直覺判斷、求異思維---馮康的創(chuàng)新要訣, 《科技創(chuàng)新案例》, 郭傳杰主編，學(xué)苑出版社, 2003, 26--30.
[9] 余德浩，計(jì)算數(shù)學(xué)與科學(xué)計(jì)算在中國的發(fā)展, 《中國科學(xué)院研究生院演講錄》第三輯：科學(xué)的挑戰(zhàn)，科學(xué)出版社，2003，96--108.
[10] 余德浩，學(xué)習(xí)馮康創(chuàng)新思想，發(fā)展中國基礎(chǔ)研究，中國數(shù)學(xué)與系統(tǒng)科學(xué)信息網(wǎng)，2004年4月23日.
[11] 余德浩，馮康院士與科學(xué)計(jì)算，數(shù)學(xué)通報(bào)，44:9(2005),6--9；40:10(2005),4--7.
[12] 余德浩，馮康首次系統(tǒng)提出辛幾何算法，《光耀中華—改革開放30年科技成就擷英》，科學(xué)普及出版社，2008，35-40.
[13] 余德浩，追憶恩師馮康先生，中國數(shù)學(xué)會(huì)通訊，2009年第2期，28-41； 《中國科學(xué)技術(shù)大學(xué)數(shù)學(xué)50年》，中國科學(xué)技術(shù)大學(xué)出版社，2009，120-132.
[14] 余德浩，馮康傳，《中國科學(xué)院人物傳》第一卷，科學(xué)出版社，2010，132-136.
[15] 余德浩，求解****區(qū)域非線性偏微分方程的人工邊界方法，《10000個(gè)科學(xué)難題》數(shù)學(xué)卷，2009，503.
[16] 余德浩，馮康傳，《20世紀(jì)中國科學(xué)家成就概覽》，科學(xué)出版社，2012.
[17] 余德浩，石鐘慈傳，《20世紀(jì)中國科學(xué)家成就概覽》，科學(xué)出版社，2012.
[18] 余德浩，關(guān)于計(jì)算數(shù)學(xué)課程建設(shè)與人才培養(yǎng)得幾點(diǎn)看法，第七屆大學(xué)數(shù)學(xué)課程報(bào)告論壇，2011；中國數(shù)學(xué)會(huì)通訊，2012年第1期，31－37.
[19] 余德浩，詩詞與人生，余德浩詩詞集，時(shí)代作家出版社，2014，311-321.
超星學(xué)術(shù)視頻：
(1) 馮康院士與科學(xué)計(jì)算
(2) 我的數(shù)學(xué)人生
余德浩， 男， 1945年4月生， 浙江寧波人。中國科學(xué)院數(shù)學(xué)與系統(tǒng)科學(xué)研究院研究員， 博士生導(dǎo)師。1962年考入中國科學(xué)技術(shù)大學(xué)應(yīng)用數(shù)學(xué)系，受教于關(guān)肇直、嚴(yán)濟(jì)慈等著名科學(xué)家， 1967年畢業(yè)。1978年考入中國科學(xué)院計(jì)算中心， 成為著名數(shù)學(xué)家馮康院士的研究生。
科學(xué)研究：
榮譽(yù)獎(jiǎng)勵(lì)：
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