ESAIM: Mathematical Modelling and Numerical Analysis Vol. 42 Iss. 06

ESAIM: Mathematical Modelling and Numerical Analysis

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Table of Contents - November 2008 - Volume 42 - Issue 06

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Research Articles

A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes A stabilized finite element scheme for the Navier-Stokes equations on quadrilateral anisotropic meshes

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Malte Braack

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 06 / 2008, pp 903 - 924

Published online by Cambridge University Press: 02 March 2011

DOI: http://dx.doi.org/10.1051/m2an:2008032 (About DOI)

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Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation

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Annalisa Buffa and Peter Monk

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 06 / 2008, pp 925 - 940

Published online by Cambridge University Press: 02 March 2011

DOI: http://dx.doi.org/10.1051/m2an:2008033 (About DOI)

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Inner products in covolume and mimetic methods Inner products in covolume and mimetic methods

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Kathryn A. Trapp

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 06 / 2008, pp 941 - 959

Published online by Cambridge University Press: 02 March 2011

DOI: http://dx.doi.org/10.1051/m2an:2008030 (About DOI)

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Numerical simulation of blood flows through a porous interface Numerical simulation of blood flows through a porous interface

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Miguel A. Fernández, Jean-Frédéric Gerbeau and Vincent Martin

Mathematical models and computational methods are gaining much attention in medicine and biology. This highlight paper represents an excellent example in which advanced mathematical methods are applied to the study of a problem of medical and engineering relevance; i.e., the treatment of cerebral aneurysms. In particular, the authors apply mathematical homogenization to develop a model of blood flow through a sieve of metallic wires, which is applied in practice to prevent the rupture of aneurysms. This yields in the governing equations of blood flow a new term accounting for the sieve. An ad-hoc stabilized finite element discretization is then proposed and analyzed. Numerical experiments show that the computational method correctly captures the behavior of the sieve. This approach is used for the comparison of different treatment configurations in the frame of realistic models of cerebral aneurysms.

Alfio Quarteroni, Associate Editor

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 06 / 2008, pp 961 - 990

Published online by Cambridge University Press: 02 March 2011

DOI: http://dx.doi.org/10.1051/m2an:2008031 (About DOI)