Edit Profile (opens in new tab) French, Donald A. Compute Distance To: Compute Author ID: french.donald-a Published as: French, Donald A.; French, D. A.; French, Donald Documents Indexed: 41 Publications since 1987 Co-Authors: 31 Co-Authors with 29 Joint Publications 741 Co-Co-Authors all top 5 Co-Authors 9 single-authored 3 Copetti, Maria Inês M. 3 Edwards, David Alan 3 Elliott, Charles M. 3 Osorio, Mauricio A. 3 Peterson, Todd E. 2 Albert, Samuel 2 Cockburn, Bernardo 2 Groetsch, Charles W. 2 King, John-Thomas 2 Kleene, Steven J. 2 Teymuroglu, Zeynep 1 Aziz, A. Kadir 1 Badamdorj, Dorjsuren 1 Braun, Richard J. 1 Clack, Jhules 1 Eisenberg, Marisa C. 1 Estep, Donald J. 1 Flannery, Richard J. 1 Galbraith, Marshall C. 1 Garcia, Sonia M. F. 1 Kellogg, Bruce 1 Krantz, Willam B. 1 Larsson, Stig 1 Lewis, Timothy J. 1 Milner, Fabio Augusto 1 Nance, Tony 1 Nochetto, Ricardo Horacio 1 Oh, Jiyeon 1 Schaeffer, Jack W. 1 Seidman, Thomas I. 1 Wahlbin, Lars B. all top 5 Serials 4 Computer Methods in Applied Mechanics and Engineering 4 Applied Mathematics and Computation 4 SIAM Journal on Numerical Analysis 4 Applied Numerical Mathematics 3 Mathematics of Computation 2 Numerical Methods for Partial Differential Equations 1 IMA Journal of Applied Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Computational Mechanics 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Applied Mathematical Modelling 1 SIAM Journal on Applied Mathematics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Computational Methods in Applied Mathematics 1 Proyecciones 1 Journal of Biological Dynamics all top 5 Fields 29 Numerical analysis (65-XX) 20 Partial differential equations (35-XX) 9 Mechanics of deformable solids (74-XX) 7 Biology and other natural sciences (92-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Integral equations (45-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 37 Publications have been cited 632 times in 448 Documents Cited by ▼ Year ▼ A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097Elliott, C. M.; French, D. A.; Milner, F. A. 115 1989 Numerical studies of the Cahn-Hilliard equation for phase separation. Zbl 0632.65113Elliott, Charles M.; French, Donald A. 98 1987 A nonconforming finite-element method for the two-dimensional Cahn- Hilliard equation. Zbl 0686.65086Elliott, Charles M.; French, Donald A. 81 1989 A continuous space-time finite element method for the wave equation. Zbl 0846.65048French, Donald A.; Peterson, Todd E. 54 1996 Global error control for the continuous Galerkin finite element method for ordinary differential equations. Zbl 0822.65054Estep, Donald; French, Donald 35 1994 Approximation of an elliptic control problem by the finite element method. Zbl 0724.65069French, Donald A.; King, J. Thomas 35 1991 A space-time finite element method for the wave equation. Zbl 0787.65069French, Donald A. 32 1993 Continuous finite element methods which preserve energy properties for nonlinear problems. Zbl 0716.65084French, Donald A.; Schaeffer, Jack W. 27 1990 Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems. Zbl 0806.65132French, Donald A.; Jensen, Søren 17 1994 On the convergence of finite-element approximations of a relaxed variational problem. Zbl 0696.65070French, Donald A. 17 1990 Analysis of a robust finite element approximation for a parabolic equation with rough boundary data. Zbl 0795.65060French, Donald A.; King, J. Thomas 13 1993 Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem. Zbl 0962.65082Aziz, A. Kadir; French, Donald A.; Jensen, Soren; Kellogg, R. Bruce 11 1999 Continuous Galerkin finite element methods for a forward-backward heat equation. Zbl 0948.65095French, Donald A. 10 1999 A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. I: The steady state case. Zbl 0990.65124Albert, Samuel; Cockburn, Bernardo; French, Donald A.; Peterson, Todd E. 9 2002 Discontinuous Galerkin finite element methods for a forward-backward heat equation. Zbl 0931.65101French, Donald A. 9 1998 Numerical solution of a thermoviscoelastic contact problem by a penalty method. Zbl 1130.74489Copetti, M. I. M.; French, D. A. 8 2003 Pointwise a posteriori error analysis for an adaptive penalty finite element method for the obstacle problem. Zbl 0980.65118French, Donald A.; Larsson, Stig; Nochetto, Ricardo H. 6 2001 Identification of a free energy functional in an integro-differential equation model for neuronal network activity. Zbl 1070.45008French, D. A. 6 2004 Numerical approximation and error control for a thermoelastic contact problem. Zbl 1112.74021Copetti, M. I. M.; French, D. A. 6 2005 Finite element approximation of solutions to a class of nonlinear hyperbolic-parabolic equations. Zbl 0937.74063French, Donald A.; Jensen, Søren; Seidman, Thomas I. 4 1999 A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. II: The time-dependent case. Zbl 1063.65093Albert, Samuel; Cockburn, Bernardo; French, Donald; Peterson, Todd 4 2002 The finite element method for a degenerate elliptic equation. Zbl 0633.65108French, Donald A. 4 1987 Numerical approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation. Zbl 1132.92317French, Donald A.; Flannery, Richard J.; Groetsch, Charles W.; Krantz, Willam B.; Kleene, Steven J. 4 2006 Behaviour in the large of numerical solutions to one-dimensional nonlinear viscoelasticity by continuous time Galerkin methods. Zbl 0764.73101French, Donald A.; Jensen, Soren 3 1991 Computation of large shear deformations of a thermoplastic material. Zbl 0851.73075French, Donald A. 3 1996 An integro-differential equation model for the spread of alcohol abuse. Zbl 1268.45006French, Donald A.; Teymuroglu, Zeynep; Lewis, Timothy J.; Braun, Richard J. 3 2010 Error analysis of a modified discontinuous Galerkin recovery scheme for diffusion problems. Zbl 1245.65149French, Donald A.; Galbraith, Marshall C.; Osorio, Mauricio 3 2012 Numerical studies of the stability of steady-state solutions to a contact problem in coupled thermoelasticity. Zbl 1302.74159Copetti, M. I. M.; French, D. A. 3 2004 On the numerical approximation of an evolution problem in nonlinear viscoelasticity. Zbl 0783.73069French, Donald A.; Wahlbin, Lars B. 2 1993 Asymptotic and computational analysis of large shear deformations of a thermoplastic material. Zbl 0922.35012Edwards, D. A.; French, D. A. 2 1999 Perturbation approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation. Zbl 1145.92004French, Donald A.; Edwards, David A. 2 2007 Global dynamics of a discontinuous Galerkin approximation to a class of reaction-diffusion equation. Zbl 0839.65102French, Donald A.; Jensen, Søren 1 1995 Finite element approximation of an evolution problem modeling shear band formation. Zbl 0848.73064French, Donald A.; Garcia, Sonia M. F. 1 1994 Computations on the Cahn-Hilliard model of solidification. Zbl 0724.65121French, Donald A. 1 1990 A Galerkin meshfree method with diffuse derivatives and stabilization. Zbl 1312.65125French, Donald A.; Osorio, Mauricio 1 2012 Error analysis of a specialized numerical method for mathematical models from neuroscience. Zbl 1097.65084Oh, Jiyeon; French, Donald A. 1 2006 Identification of Cl(Ca) channel distributions in olfactory cilia. Zbl 1146.92004Badamdorj, Dorjsuren; Edwards, David A.; French, Donald A.; Kleene, Steven J. 1 2008 Error analysis of a modified discontinuous Galerkin recovery scheme for diffusion problems. Zbl 1245.65149French, Donald A.; Galbraith, Marshall C.; Osorio, Mauricio 3 2012 A Galerkin meshfree method with diffuse derivatives and stabilization. Zbl 1312.65125French, Donald A.; Osorio, Mauricio 1 2012 An integro-differential equation model for the spread of alcohol abuse. Zbl 1268.45006French, Donald A.; Teymuroglu, Zeynep; Lewis, Timothy J.; Braun, Richard J. 3 2010 Identification of Cl(Ca) channel distributions in olfactory cilia. Zbl 1146.92004Badamdorj, Dorjsuren; Edwards, David A.; French, Donald A.; Kleene, Steven J. 1 2008 Perturbation approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation. Zbl 1145.92004French, Donald A.; Edwards, David A. 2 2007 Numerical approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation. Zbl 1132.92317French, Donald A.; Flannery, Richard J.; Groetsch, Charles W.; Krantz, Willam B.; Kleene, Steven J. 4 2006 Error analysis of a specialized numerical method for mathematical models from neuroscience. Zbl 1097.65084Oh, Jiyeon; French, Donald A. 1 2006 Numerical approximation and error control for a thermoelastic contact problem. Zbl 1112.74021Copetti, M. I. M.; French, D. A. 6 2005 Identification of a free energy functional in an integro-differential equation model for neuronal network activity. Zbl 1070.45008French, D. A. 6 2004 Numerical studies of the stability of steady-state solutions to a contact problem in coupled thermoelasticity. Zbl 1302.74159Copetti, M. I. M.; French, D. A. 3 2004 Numerical solution of a thermoviscoelastic contact problem by a penalty method. Zbl 1130.74489Copetti, M. I. M.; French, D. A. 8 2003 A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. I: The steady state case. Zbl 0990.65124Albert, Samuel; Cockburn, Bernardo; French, Donald A.; Peterson, Todd E. 9 2002 A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. II: The time-dependent case. Zbl 1063.65093Albert, Samuel; Cockburn, Bernardo; French, Donald; Peterson, Todd 4 2002 Pointwise a posteriori error analysis for an adaptive penalty finite element method for the obstacle problem. Zbl 0980.65118French, Donald A.; Larsson, Stig; Nochetto, Ricardo H. 6 2001 Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem. Zbl 0962.65082Aziz, A. Kadir; French, Donald A.; Jensen, Soren; Kellogg, R. Bruce 11 1999 Continuous Galerkin finite element methods for a forward-backward heat equation. Zbl 0948.65095French, Donald A. 10 1999 Finite element approximation of solutions to a class of nonlinear hyperbolic-parabolic equations. Zbl 0937.74063French, Donald A.; Jensen, Søren; Seidman, Thomas I. 4 1999 Asymptotic and computational analysis of large shear deformations of a thermoplastic material. Zbl 0922.35012Edwards, D. A.; French, D. A. 2 1999 Discontinuous Galerkin finite element methods for a forward-backward heat equation. Zbl 0931.65101French, Donald A. 9 1998 A continuous space-time finite element method for the wave equation. Zbl 0846.65048French, Donald A.; Peterson, Todd E. 54 1996 Computation of large shear deformations of a thermoplastic material. Zbl 0851.73075French, Donald A. 3 1996 Global dynamics of a discontinuous Galerkin approximation to a class of reaction-diffusion equation. Zbl 0839.65102French, Donald A.; Jensen, Søren 1 1995 Global error control for the continuous Galerkin finite element method for ordinary differential equations. Zbl 0822.65054Estep, Donald; French, Donald 35 1994 Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems. Zbl 0806.65132French, Donald A.; Jensen, Søren 17 1994 Finite element approximation of an evolution problem modeling shear band formation. Zbl 0848.73064French, Donald A.; Garcia, Sonia M. F. 1 1994 A space-time finite element method for the wave equation. Zbl 0787.65069French, Donald A. 32 1993 Analysis of a robust finite element approximation for a parabolic equation with rough boundary data. Zbl 0795.65060French, Donald A.; King, J. Thomas 13 1993 On the numerical approximation of an evolution problem in nonlinear viscoelasticity. Zbl 0783.73069French, Donald A.; Wahlbin, Lars B. 2 1993 Approximation of an elliptic control problem by the finite element method. Zbl 0724.65069French, Donald A.; King, J. Thomas 35 1991 Behaviour in the large of numerical solutions to one-dimensional nonlinear viscoelasticity by continuous time Galerkin methods. Zbl 0764.73101French, Donald A.; Jensen, Soren 3 1991 Continuous finite element methods which preserve energy properties for nonlinear problems. Zbl 0716.65084French, Donald A.; Schaeffer, Jack W. 27 1990 On the convergence of finite-element approximations of a relaxed variational problem. Zbl 0696.65070French, Donald A. 17 1990 Computations on the Cahn-Hilliard model of solidification. Zbl 0724.65121French, Donald A. 1 1990 A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097Elliott, C. M.; French, D. A.; Milner, F. A. 115 1989 A nonconforming finite-element method for the two-dimensional Cahn- Hilliard equation. Zbl 0686.65086Elliott, Charles M.; French, Donald A. 81 1989 Numerical studies of the Cahn-Hilliard equation for phase separation. Zbl 0632.65113Elliott, Charles M.; French, Donald A. 98 1987 The finite element method for a degenerate elliptic equation. Zbl 0633.65108French, Donald A. 4 1987 all cited Publications top 5 cited Publications all top 5 Cited by 707 Authors 15 French, Donald A. 11 Copetti, Maria Inês M. 9 Elliott, Charles M. 8 Cherfils, Laurence 8 Miranville, Alain M. 7 Estep, Donald J. 7 Fakih, Hussein 7 Li, Hong 6 Kim, Junseok 6 Makridakis, Charalambos G. 6 Zhao, Zhihui 5 Carstensen, Carsten 5 Chen, Yanping 5 Cockburn, Bernardo 5 Feng, Xiaobing 5 Gong, Wei 5 Hughes, Thomas J. R. 5 Jia, Hongen 5 Luo, Zhendong 5 Nochetto, Ricardo Horacio 5 Scovazzi, Guglielmo 5 Wang, Cheng 5 Wise, Steven M. 5 Xiong, Chunguang 5 Xu, Yan 4 Baccouch, Mahboub 4 Banei, Siamak 4 Calo, Victor Manuel 4 Chen, Wenbin 4 Choo, S. M. 4 Huang, Jianguo 4 Pani, Amiya Kumar 4 Qian, Jianliang 4 Rademacher, Andreas 4 Shanazari, Kamal 4 Shen, Wanfang 4 Wihler, Thomas Pascal 3 Akrivis, Georgios D. 3 Alikakos, Nicholas D. 3 Antman, Stuart S. 3 Aouadi, Moncef 3 Bates, Peter W. 3 Chen, Lizhen 3 da Silva, Severino Horácio 3 Danumjaya, Palla 3 Furihata, Daisuke 3 Guillén González, Francisco M. 3 Hansbo, Peter 3 He, Liping 3 Huang, Yunqing 3 Karakashian, Ohannes A. 3 Lai, Junjiang 3 Li, Yukun 3 Logg, Anders 3 Luskin, Mitchell 3 Petcu, Madalina 3 Plecháč, Petr 3 Prohl, Andreas 3 Shu, Chi-Wang 3 Song, Huailing 3 Steinmann, Paul 3 Tierra, Giordano 3 Witelski, Thomas P. 3 Yan, Ningning 3 Yang, Danping 3 Ye, Xingde 3 Yi, Lijun 2 Antonietti, Paola Francesca 2 Apel, Thomas 2 Bangerth, Wolfgang 2 Bartels, Sören 2 Bause, Markus 2 Becher, Simon 2 Beirão da Veiga, Lourenço 2 Benedusi, Pietro 2 Betsch, Peter 2 Bu, Linlin 2 Bu, Weiping 2 Calatroni, Luca 2 Cecil, Thomas C. 2 Chen, Long 2 Cheng, Kelong 2 Cheng, Xiaoliang 2 Conca, Carlos 2 Coombes, Stephen 2 Cueto-Felgueroso, Luis 2 Dehghan Takht Fooladi, Mehdi 2 Dong, Suchuan 2 Du, Qiang 2 Feng, Guorui 2 Fernández, Jose Ramon 2 Fusco, Giorgio 2 Garikipati, Krishna 2 Gosse, Laurent 2 Gross, Michael B. 2 Grote, Marcus J. 2 Guo, Ruihan 2 Guo, Yayu 2 Haber, Robert Bruce 2 Han, Weimin ...and 607 more Authors all top 5 Cited in 128 Serials 37 Journal of Computational Physics 30 Computer Methods in Applied Mechanics and Engineering 25 Applied Numerical Mathematics 24 Mathematics of Computation 24 Journal of Computational and Applied Mathematics 24 Journal of Scientific Computing 21 Numerische Mathematik 16 Applied Mathematics and Computation 14 Computers & Mathematics with Applications 11 SIAM Journal on Numerical Analysis 8 International Journal for Numerical Methods in Engineering 8 Numerical Methods for Partial Differential Equations 6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Numerical Algorithms 6 Boundary Value Problems 5 Journal of Mathematical Analysis and Applications 5 Numerical Functional Analysis and Optimization 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Applied Mathematical Modelling 4 International Journal of Computer Mathematics 4 Engineering Analysis with Boundary Elements 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Multiscale Modeling & Simulation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Mathematical Methods in the Applied Sciences 3 BIT 3 Physica D 3 European Journal of Applied Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Computational Optimization and Applications 3 Archives of Computational Methods in Engineering 3 Advances in Difference Equations 3 Communications in Computational Physics 3 East Asian Journal on Applied Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Calcolo 2 Journal of Differential Equations 2 Quarterly of Applied Mathematics 2 Studies in Applied Mathematics 2 Computational Mechanics 2 Communications in Partial Differential Equations 2 Journal of Mathematical Imaging and Vision 2 SIAM Journal on Scientific Computing 2 Applied Mathematics. Series B (English Edition) 2 Journal of Mathematical Sciences (New York) 2 Computational and Applied Mathematics 2 Discrete and Continuous Dynamical Systems 2 Communications in Nonlinear Science and Numerical Simulation 2 Engineering Computations 2 Mathematical Modelling and Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Computational Methods in Applied Mathematics 2 Communications on Pure and Applied Analysis 2 Inverse Problems and Imaging 2 Advances in Applied Mathematics and Mechanics 2 Science China. Mathematics 2 Computational Methods for Differential Equations 1 Biological Cybernetics 1 International Journal for Numerical Methods in Fluids 1 Inverse Problems 1 Journal of Mathematical Biology 1 Journal of the Mechanics and Physics of Solids 1 Rocky Mountain Journal of Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Optimization 1 Computing 1 Mathematics and Computers in Simulation 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Journal of Elasticity 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Dynamics and Differential Equations 1 Continuum Mechanics and Thermodynamics 1 Topological Methods in Nonlinear Analysis 1 Communications in Numerical Methods in Engineering 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Journal of Difference Equations and Applications 1 Mathematical Problems in Engineering 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Discrete Dynamics in Nature and Society 1 Interfaces and Free Boundaries 1 Computational Geosciences 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Decisions in Economics and Finance 1 Journal of Applied Mathematics ...and 28 more Serials all top 5 Cited in 30 Fields 330 Numerical analysis (65-XX) 228 Partial differential equations (35-XX) 80 Mechanics of deformable solids (74-XX) 58 Fluid mechanics (76-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 21 Statistical mechanics, structure of matter (82-XX) 15 Ordinary differential equations (34-XX) 14 Biology and other natural sciences (92-XX) 13 Dynamical systems and ergodic theory (37-XX) 13 Integral equations (45-XX) 12 Classical thermodynamics, heat transfer (80-XX) 7 Computer science (68-XX) 6 Mechanics of particles and systems (70-XX) 4 Real functions (26-XX) 4 Approximations and expansions (41-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Information and communication theory, circuits (94-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Probability theory and stochastic processes (60-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Differential geometry (53-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geophysics (86-XX) Citations by Year