Partial Differential Equations - Modelling and ... - ResearchGate
Partial Differential Equations - Modelling and ... - ResearchGate Partial Differential Equations - Modelling and ... - ResearchGate
Preface IX Some of the issues discussed in this volume have been addressed at the international conference taking place in Helsinki during fall 2005 to honor Olivier Pironneau on the occasion of his 60th anniversary. Additional material has been included in order to broaden the scope of the volume. Special acknowledgements are due to Marja-Leena Rantalainen from University of Jyväskylä for her most constructive role in the various stages of this project. Houston and Jyväskylä Roland Glowinski Pekka Neittaanmäki
Contents List of Contributors ..........................................XIII Part I Discontinuous Galerkin and Mixed Finite Element Methods Discontinuous Galerkin Methods Vivette Girault and Mary F. Wheeler .............................. 3 Mixed Finite Element Methods on Polyhedral Meshes for Diffusion Equations Yuri A. Kuznetsov .............................................. 27 On the Numerical Solution of the Elliptic Monge–Ampère Equation in Dimension Two: A Least-Squares Approach Edward J. Dean and Roland Glowinski ............................. 43 Part II Linear and Nonlinear Hyperbolic Problems Higher Order Time Stepping for Second Order Hyperbolic Problems and Optimal CFL Conditions J. Charles Gilbert and Patrick Joly ................................ 67 Comparison of Two Explicit Time Domain Unstructured Mesh Algorithms for Computational Electromagnetics Igor Sazonov, Oubay Hassan, Ken Morgan, and Nigel P. Weatherill ... 95 The von Neumann Triple Point Paradox Richard Sanders and Allen M. Tesdall ............................. 113 Part III Domain Decomposition Methods ALagrangeMultiplierBasedDomainDecompositionMethodfor the Solution of a Wave Problem with Discontinuous Coefficients Serguei Lapin, Alexander Lapin, Jacques Périaux, and Pierre-Marie Jacquart ....................................... 131
- 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: VIII Preface computers has been at
- Page 11 and 12: List of Contributors Yves Achdou UF
- Page 13 and 14: List of Contributors XV Claude Le B
- 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
Preface<br />
IX<br />
Some of the issues discussed in this volume have been addressed at the<br />
international conference taking place in Helsinki during fall 2005 to honor<br />
Olivier Pironneau on the occasion of his 60th anniversary. Additional material<br />
has been included in order to broaden the scope of the volume.<br />
Special acknowledgements are due to Marja-Leena Rantalainen from University<br />
of Jyväskylä for her most constructive role in the various stages of this<br />
project.<br />
Houston <strong>and</strong> Jyväskylä<br />
Rol<strong>and</strong> Glowinski<br />
Pekka Neittaanmäki
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