## French, Donald A.

Compute Distance To:
 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
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### 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.
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### 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
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### 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)

### 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 0668.65097
Elliott, C. M.; French, D. A.; Milner, F. A.
1989
Numerical studies of the Cahn-Hilliard equation for phase separation. Zbl 0632.65113
Elliott, Charles M.; French, Donald A.
1987
A nonconforming finite-element method for the two-dimensional Cahn- Hilliard equation. Zbl 0686.65086
Elliott, Charles M.; French, Donald A.
1989
A continuous space-time finite element method for the wave equation. Zbl 0846.65048
French, Donald A.; Peterson, Todd E.
1996
Global error control for the continuous Galerkin finite element method for ordinary differential equations. Zbl 0822.65054
Estep, Donald; French, Donald
1994
Approximation of an elliptic control problem by the finite element method. Zbl 0724.65069
French, Donald A.; King, J. Thomas
1991
A space-time finite element method for the wave equation. Zbl 0787.65069
French, Donald A.
1993
Continuous finite element methods which preserve energy properties for nonlinear problems. Zbl 0716.65084
French, Donald A.; Schaeffer, Jack W.
1990
Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems. Zbl 0806.65132
French, Donald A.; Jensen, Søren
1994
On the convergence of finite-element approximations of a relaxed variational problem. Zbl 0696.65070
French, Donald A.
1990
Analysis of a robust finite element approximation for a parabolic equation with rough boundary data. Zbl 0795.65060
French, Donald A.; King, J. Thomas
1993
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem. Zbl 0962.65082
Aziz, A. Kadir; French, Donald A.; Jensen, Soren; Kellogg, R. Bruce
1999
Continuous Galerkin finite element methods for a forward-backward heat equation. Zbl 0948.65095
French, Donald A.
1999
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. I: The steady state case. Zbl 0990.65124
Albert, Samuel; Cockburn, Bernardo; French, Donald A.; Peterson, Todd E.
2002
Discontinuous Galerkin finite element methods for a forward-backward heat equation. Zbl 0931.65101
French, Donald A.
1998
Numerical solution of a thermoviscoelastic contact problem by a penalty method. Zbl 1130.74489
Copetti, M. I. M.; French, D. A.
2003
Pointwise a posteriori error analysis for an adaptive penalty finite element method for the obstacle problem. Zbl 0980.65118
French, Donald A.; Larsson, Stig; Nochetto, Ricardo H.
2001
Identification of a free energy functional in an integro-differential equation model for neuronal network activity. Zbl 1070.45008
French, D. A.
2004
Numerical approximation and error control for a thermoelastic contact problem. Zbl 1112.74021
Copetti, M. I. M.; French, D. A.
2005
Finite element approximation of solutions to a class of nonlinear hyperbolic-parabolic equations. Zbl 0937.74063
French, Donald A.; Jensen, Søren; Seidman, Thomas I.
1999
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. II: The time-dependent case. Zbl 1063.65093
Albert, Samuel; Cockburn, Bernardo; French, Donald; Peterson, Todd
2002
The finite element method for a degenerate elliptic equation. Zbl 0633.65108
French, Donald A.
1987
Numerical approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation. Zbl 1132.92317
French, Donald A.; Flannery, Richard J.; Groetsch, Charles W.; Krantz, Willam B.; Kleene, Steven J.
2006
Behaviour in the large of numerical solutions to one-dimensional nonlinear viscoelasticity by continuous time Galerkin methods. Zbl 0764.73101
French, Donald A.; Jensen, Soren
1991
Computation of large shear deformations of a thermoplastic material. Zbl 0851.73075
French, Donald A.
1996
An integro-differential equation model for the spread of alcohol abuse. Zbl 1268.45006
French, Donald A.; Teymuroglu, Zeynep; Lewis, Timothy J.; Braun, Richard J.
2010
Error analysis of a modified discontinuous Galerkin recovery scheme for diffusion problems. Zbl 1245.65149
French, Donald A.; Galbraith, Marshall C.; Osorio, Mauricio
2012
Numerical studies of the stability of steady-state solutions to a contact problem in coupled thermoelasticity. Zbl 1302.74159
Copetti, M. I. M.; French, D. A.
2004
On the numerical approximation of an evolution problem in nonlinear viscoelasticity. Zbl 0783.73069
French, Donald A.; Wahlbin, Lars B.
1993
Asymptotic and computational analysis of large shear deformations of a thermoplastic material. Zbl 0922.35012
Edwards, D. A.; French, D. A.
1999
Perturbation approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation. Zbl 1145.92004
French, Donald A.; Edwards, David A.
2007
Global dynamics of a discontinuous Galerkin approximation to a class of reaction-diffusion equation. Zbl 0839.65102
French, Donald A.; Jensen, Søren
1995
Finite element approximation of an evolution problem modeling shear band formation. Zbl 0848.73064
French, Donald A.; Garcia, Sonia M. F.
1994
Computations on the Cahn-Hilliard model of solidification. Zbl 0724.65121
French, Donald A.
1990
A Galerkin meshfree method with diffuse derivatives and stabilization. Zbl 1312.65125
French, Donald A.; Osorio, Mauricio
2012
Error analysis of a specialized numerical method for mathematical models from neuroscience. Zbl 1097.65084
Oh, Jiyeon; French, Donald A.
2006
Identification of Cl(Ca) channel distributions in olfactory cilia. Zbl 1146.92004
Badamdorj, Dorjsuren; Edwards, David A.; French, Donald A.; Kleene, Steven J.
2008
Error analysis of a modified discontinuous Galerkin recovery scheme for diffusion problems. Zbl 1245.65149
French, Donald A.; Galbraith, Marshall C.; Osorio, Mauricio
2012
A Galerkin meshfree method with diffuse derivatives and stabilization. Zbl 1312.65125
French, Donald A.; Osorio, Mauricio
2012
An integro-differential equation model for the spread of alcohol abuse. Zbl 1268.45006
French, Donald A.; Teymuroglu, Zeynep; Lewis, Timothy J.; Braun, Richard J.
2010
Identification of Cl(Ca) channel distributions in olfactory cilia. Zbl 1146.92004
Badamdorj, Dorjsuren; Edwards, David A.; French, Donald A.; Kleene, Steven J.
2008
Perturbation approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation. Zbl 1145.92004
French, Donald A.; Edwards, David A.
2007
Numerical approximation of solutions of a nonlinear inverse problem arising in olfaction experimentation. Zbl 1132.92317
French, Donald A.; Flannery, Richard J.; Groetsch, Charles W.; Krantz, Willam B.; Kleene, Steven J.
2006
Error analysis of a specialized numerical method for mathematical models from neuroscience. Zbl 1097.65084
Oh, Jiyeon; French, Donald A.
2006
Numerical approximation and error control for a thermoelastic contact problem. Zbl 1112.74021
Copetti, M. I. M.; French, D. A.
2005
Identification of a free energy functional in an integro-differential equation model for neuronal network activity. Zbl 1070.45008
French, D. A.
2004
Numerical studies of the stability of steady-state solutions to a contact problem in coupled thermoelasticity. Zbl 1302.74159
Copetti, M. I. M.; French, D. A.
2004
Numerical solution of a thermoviscoelastic contact problem by a penalty method. Zbl 1130.74489
Copetti, M. I. M.; French, D. A.
2003
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. I: The steady state case. Zbl 0990.65124
Albert, Samuel; Cockburn, Bernardo; French, Donald A.; Peterson, Todd E.
2002
A posteriori error estimates for general numerical methods for Hamilton-Jacobi equations. II: The time-dependent case. Zbl 1063.65093
Albert, Samuel; Cockburn, Bernardo; French, Donald; Peterson, Todd
2002
Pointwise a posteriori error analysis for an adaptive penalty finite element method for the obstacle problem. Zbl 0980.65118
French, Donald A.; Larsson, Stig; Nochetto, Ricardo H.
2001
Origins, analysis, numerical analysis, and numerical approximation of a forward-backward parabolic problem. Zbl 0962.65082
Aziz, A. Kadir; French, Donald A.; Jensen, Soren; Kellogg, R. Bruce
1999
Continuous Galerkin finite element methods for a forward-backward heat equation. Zbl 0948.65095
French, Donald A.
1999
Finite element approximation of solutions to a class of nonlinear hyperbolic-parabolic equations. Zbl 0937.74063
French, Donald A.; Jensen, Søren; Seidman, Thomas I.
1999
Asymptotic and computational analysis of large shear deformations of a thermoplastic material. Zbl 0922.35012
Edwards, D. A.; French, D. A.
1999
Discontinuous Galerkin finite element methods for a forward-backward heat equation. Zbl 0931.65101
French, Donald A.
1998
A continuous space-time finite element method for the wave equation. Zbl 0846.65048
French, Donald A.; Peterson, Todd E.
1996
Computation of large shear deformations of a thermoplastic material. Zbl 0851.73075
French, Donald A.
1996
Global dynamics of a discontinuous Galerkin approximation to a class of reaction-diffusion equation. Zbl 0839.65102
French, Donald A.; Jensen, Søren
1995
Global error control for the continuous Galerkin finite element method for ordinary differential equations. Zbl 0822.65054
Estep, Donald; French, Donald
1994
Long-time behaviour of arbitrary order continuous time Galerkin schemes for some one-dimensional phase transition problems. Zbl 0806.65132
French, Donald A.; Jensen, Søren
1994
Finite element approximation of an evolution problem modeling shear band formation. Zbl 0848.73064
French, Donald A.; Garcia, Sonia M. F.
1994
A space-time finite element method for the wave equation. Zbl 0787.65069
French, Donald A.
1993
Analysis of a robust finite element approximation for a parabolic equation with rough boundary data. Zbl 0795.65060
French, Donald A.; King, J. Thomas
1993
On the numerical approximation of an evolution problem in nonlinear viscoelasticity. Zbl 0783.73069
French, Donald A.; Wahlbin, Lars B.
1993
Approximation of an elliptic control problem by the finite element method. Zbl 0724.65069
French, Donald A.; King, J. Thomas
1991
Behaviour in the large of numerical solutions to one-dimensional nonlinear viscoelasticity by continuous time Galerkin methods. Zbl 0764.73101
French, Donald A.; Jensen, Soren
1991
Continuous finite element methods which preserve energy properties for nonlinear problems. Zbl 0716.65084
French, Donald A.; Schaeffer, Jack W.
1990
On the convergence of finite-element approximations of a relaxed variational problem. Zbl 0696.65070
French, Donald A.
1990
Computations on the Cahn-Hilliard model of solidification. Zbl 0724.65121
French, Donald A.
1990
A second order splitting method for the Cahn-Hilliard equation. Zbl 0668.65097
Elliott, C. M.; French, D. A.; Milner, F. A.
1989
A nonconforming finite-element method for the two-dimensional Cahn- Hilliard equation. Zbl 0686.65086
Elliott, Charles M.; French, Donald A.
1989
Numerical studies of the Cahn-Hilliard equation for phase separation. Zbl 0632.65113
Elliott, Charles M.; French, Donald A.
1987
The finite element method for a degenerate elliptic equation. Zbl 0633.65108
French, Donald A.
1987
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### 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
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### 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
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### 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)