Partial Differential Equations - Modelling and ... - ResearchGate
Partial Differential Equations - Modelling and ... - ResearchGate Partial Differential Equations - Modelling and ... - ResearchGate
XIV List of Contributors Jean-Charles Gilbert INRIA Domaine de Voluceau-Roquencourt BP 105 FR-78153 Le Chesnay Cedex France Jean-Charles.Gilbert@inria.fr Vivette Girault Laboratoire Jacques-Louis Lions Université Pierre et Marie Curie Case 187, 4 Place Jussieu FR-75252 Paris Cedex 05 France girault@ann.jussieu.fr Roland Glowinski University of Houston Department of Mathematics 4800 Calhoun Houston, TX 77004 USA roland@math.uh.edu William H. Hager Department of Mathematics University of Florida Gainesville, FL 32611-8105 USA hager@math.ufl.edu Jian Hao Department of Mathematics University of Houston Houston, TX 77204-3008 USA jianh@math.uh.edu Oubay Hassan Civil and Computational Engineering Centre University of Wales-Swansea Swansea SA2 8PP Wales UK O.Hassan@swansea.ac.uk Samuli Ikonen Nordea Markets FI-00020 Nordea Finland Samuli.Ikonen@nordea.com Pierre-Marie Jacquart Dassault Aviation 78, Quai Marcel Dassault Cedex 300, Saint-Cloud 92552 France pierre-marie.jacquart@dassaultaviation.fr Patrick Joly INRIA Domaine de Voluceau-Roquencourt BP 105 FR-78153 Le Chesnay Cedex France Patrick.Joly@inria.fr Yuri Kuznetsov University of Houston Department of Mathematics 4800 Calhoun Houston, TX 77004 USA kuz@math.uh.edu Alexander Lapin Kazan State University Department of Computational Mathematics and Cybernetics 18 Kremlyovskaya St. Kazan 420008 Russia alapin@ksu.ru Serguei Lapin University of Houston Department of Mathematics 4800 Calhoun Rd Houston, TX 77204 USA slapin@math.uh.edu
List of Contributors XV Claude Le Bris CERMICS 6&8 Avenue Blaise Pascal Cité Descartes FR-77455 Marne-la-Vallée Cedex 02 France lebris@cermics.enpc.fr Bertrand Maury Laboratoire de Mathématiques Université Paris-Sud FR-91405 Orsay Cedex France Bertrand.Maury@math.u-psud.fr Bijan Mohammadi Mathematics and Modeling Institute Université de Montpellier II CC 51 FR-34095 Montpellier France Bijan.Mohammadi@math. univ-montp2.fr Ken Morgan Civil and Computational Engineering Centre University of Wales-Swansea Swansea SA2 8PP Wales UK K.Morgan@swansea.ac.uk Pekka Neittaanmäki University of Jyväskylä Department of Mathematical Information Technology P.O. Box 35 (Agora) FI-40014, Jyväskylä Finland pn@mit.jyu.fi Tsorng-Whay Pan Department of Mathematics University of Houston Houston, TX 77204-3008 USA pan@math.uh.edu Jacques Periaux University of Jyväskylä Department of Mathematical Information Technology P.O. Box 35 FI-40014 University of Jyväskylä Finland jperiaux@free.fr Marco Picasso Institute of Analysis & Scientific Computing Ecole Polytechnique Fédérale de Lausanne 1015 Lausanne Switzerland marco.picasso@epfl.ch Jacques Rappaz Institut d’Analyse et Calcul Scientifique Bat. de mathématiques, Station 8 Ecole Polytechnique Fédérale de Lausanne CH-1015 Lausanne Switzerland jacques.rappaz@epfl.ch Doreen Rosenstrauch The Texas Heart Institute & The University of Texas Health Science Center at Houston Houston, TX 77030 USA Doreen.Rosenstrauch@uth.tmc.edu Richard Sanders University of Houston Department of Mathematics 4800 Calhoun Houston, TX 77004 USA sanders@math.uh.edu
- Page 1 and 2: Partial Differential Equations
- Page 3 and 4: Partial Differential Equations Mode
- Page 5 and 6: Dedicated to Olivier Pironneau
- Page 7 and 8: VIII Preface computers has been at
- Page 9 and 10: Contents List of Contributors .....
- Page 11: List of Contributors Yves Achdou UF
- Page 15 and 16: Discontinuous Galerkin Methods Vive
- Page 17 and 18: Discontinuous Galerkin Methods 5 2
- Page 19 and 20: Discontinuous Galerkin Methods 7 g
- Page 21 and 22: Discontinuous Galerkin Methods 9 (
- Page 23 and 24: Discontinuous Galerkin Methods 11 3
- Page 25 and 26: Discontinuous Galerkin Methods 13 3
- Page 27 and 28: Discontinuous Galerkin Methods 15 W
- Page 29 and 30: Let a h and b h denote the bilinear
- Page 31 and 32: Discontinuous Galerkin Methods 19 t
- Page 33 and 34: Discontinuous Galerkin Methods 21 l
- Page 35 and 36: Table 1. Primal DG for transport Di
- Page 37 and 38: Discontinuous Galerkin Methods 25 [
- Page 39 and 40: Mixed Finite Element Methods on Pol
- Page 41 and 42: Mixed FE Methods on Polyhedral Mesh
- Page 43 and 44: Mixed FE Methods on Polyhedral Mesh
- Page 45 and 46: Mixed FE Methods on Polyhedral Mesh
- Page 47 and 48: 4 Hybridization and Condensation Mi
- Page 49 and 50: Mixed FE Methods on Polyhedral Mesh
- Page 51 and 52: is symmetric and positive definite,
- Page 53 and 54: with some coefficient α ∈ R wher
- Page 55 and 56: 44 E.J. Dean and R. Glowinski so fa
- Page 57 and 58: 46 E.J. Dean and R. Glowinski 2 A L
- Page 59 and 60: 48 E.J. Dean and R. Glowinski S:T=
- Page 61 and 62: 50 E.J. Dean and R. Glowinski minim
List of Contributors<br />
XV<br />
Claude Le Bris<br />
CERMICS<br />
6&8 Avenue Blaise Pascal<br />
Cité Descartes<br />
FR-77455 Marne-la-Vallée Cedex 02<br />
France<br />
lebris@cermics.enpc.fr<br />
Bertr<strong>and</strong> Maury<br />
Laboratoire de Mathématiques<br />
Université Paris-Sud<br />
FR-91405 Orsay Cedex<br />
France<br />
Bertr<strong>and</strong>.Maury@math.u-psud.fr<br />
Bijan Mohammadi<br />
Mathematics <strong>and</strong> Modeling Institute<br />
Université de Montpellier II<br />
CC 51<br />
FR-34095 Montpellier<br />
France<br />
Bijan.Mohammadi@math.<br />
univ-montp2.fr<br />
Ken Morgan<br />
Civil <strong>and</strong> Computational<br />
Engineering Centre<br />
University of Wales-Swansea<br />
Swansea SA2 8PP<br />
Wales<br />
UK<br />
K.Morgan@swansea.ac.uk<br />
Pekka Neittaanmäki<br />
University of Jyväskylä<br />
Department of Mathematical<br />
Information Technology<br />
P.O. Box 35 (Agora)<br />
FI-40014, Jyväskylä<br />
Finl<strong>and</strong><br />
pn@mit.jyu.fi<br />
Tsorng-Whay Pan<br />
Department of Mathematics<br />
University of Houston<br />
Houston, TX 77204-3008<br />
USA<br />
pan@math.uh.edu<br />
Jacques Periaux<br />
University of Jyväskylä<br />
Department of Mathematical<br />
Information Technology<br />
P.O. Box 35<br />
FI-40014 University of Jyväskylä<br />
Finl<strong>and</strong><br />
jperiaux@free.fr<br />
Marco Picasso<br />
Institute of Analysis &<br />
Scientific Computing<br />
Ecole Polytechnique<br />
Fédérale de Lausanne<br />
1015 Lausanne<br />
Switzerl<strong>and</strong><br />
marco.picasso@epfl.ch<br />
Jacques Rappaz<br />
Institut d’Analyse et Calcul<br />
Scientifique<br />
Bat. de mathématiques, Station 8<br />
Ecole Polytechnique Fédérale de<br />
Lausanne<br />
CH-1015 Lausanne<br />
Switzerl<strong>and</strong><br />
jacques.rappaz@epfl.ch<br />
Doreen Rosenstrauch<br />
The Texas Heart Institute & The<br />
University of Texas Health Science<br />
Center at Houston<br />
Houston, TX 77030<br />
USA<br />
Doreen.Rosenstrauch@uth.tmc.edu<br />
Richard S<strong>and</strong>ers<br />
University of Houston<br />
Department of Mathematics<br />
4800 Calhoun<br />
Houston, TX 77004<br />
USA<br />
s<strong>and</strong>ers@math.uh.edu
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