ESAIM: Mathematical Modelling and Numerical Analysis Vol. 42 Iss. 04

ESAIM: Mathematical Modelling and Numerical Analysis

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Table of Contents - July 2008 - Volume 42 - Issue 04

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Research Articles

Optimal Poiseuille flow in a finite elastic dyadic tree Optimal Poiseuille flow in a finite elastic dyadic tree

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Benjamin Mauroy and Nicolas Meunier

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 04 / 2008, pp 507 - 533

Published online by Cambridge University Press: 02 March 2011

DOI: http://dx.doi.org/10.1051/m2an:2008015 (About DOI)

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Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension

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Raimund Bürger, Ricardo Ruiz, Kai Schneider and Mauricio Sepúlveda

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 04 / 2008, pp 535 - 563

Published online by Cambridge University Press: 02 March 2011

DOI: http://dx.doi.org/10.1051/m2an:2008016 (About DOI)

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Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group Approximation of solutions of Hamilton-Jacobi equations on the Heisenberg group

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Yves Achdou and Italo Capuzzo-Dolcetta

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 04 / 2008, pp 565 - 591

Published online by Cambridge University Press: 02 March 2011

DOI: http://dx.doi.org/10.1051/m2an:2008017 (About DOI)

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L ² stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods L ² stability analysis of the central discontinuous Galerkin method and a comparison between the central and regular discontinuous Galerkin methods

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Yingjie Liu, Chi-Wang Shu, Eitan Tadmor and Mengping Zhang

The present paper combines two methodologies: The discontinuous Galerkin method and the centered scheme method. The discontinuous Galerkin method has incorporated successful features of finite volume schemes for solving hyperbolic PDEs with shocked solutions. The centered scheme framework is a finite volume / finite difference methodology which avoids explicit Riemann solvers. The analysis provided in this paper indicates that there might be advantages over the traditional discontinuous Galerkin method and the potential to use the difference between the duplicative information over staggered meshes to control numerical dissipation and to possibly guide adaptivity.

David Gottlieb, Associate Editor, Claude Le Bris and Anthony T. Patera, Editors in chief

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 04 / 2008, pp 593 - 607

Published online by Cambridge University Press: 02 March 2011

DOI: http://dx.doi.org/10.1051/m2an:2008018 (About DOI)