Displaying similar documents to “Iterative schemes for high order compact discretizations to the exterior Helmholtz equation∗”

Iterative schemes for high order compact discretizations to the exterior Helmholtz equation

Yogi Erlangga, Eli Turkel (2012)

ESAIM: Mathematical Modelling and Numerical Analysis

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We consider high order finite difference approximations to the Helmholtz equation in an exterior domain. We include a simplified absorbing boundary condition to approximate the Sommerfeld radiation condition. This yields a large, but sparse, complex system, which is not self-adjoint and not positive definite. We discretize the equation with a compact fourth or sixth order accurate scheme. We solve this large system of linear equations with a Krylov subspace iterative method. Since the...

High-order WENO scheme for polymerization-type equations

Pierre Gabriel, Léon Matar Tine (2010)

ESAIM: Proceedings

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Polymerization of proteins is a biochemical process involved in different diseases. Mathematically, it is generally modeled by aggregation-fragmentation-type equations. In this paper we consider a general polymerization model and propose a high-order numerical scheme to investigate the behavior of the solution. An important property of the equation is the mass conservation. The WENO scheme is built to preserve the total mass of proteins ...

A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem

Hani Benhassine, Abderrahmane Bendali (2011)

ESAIM: Mathematical Modelling and Numerical Analysis

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This study is mainly dedicated to the development and analysis of non-overlapping domain decomposition methods for solving continuous-pressure finite element formulations of the Stokes problem. These methods have the following special features. By keeping the equations and unknowns unchanged at the cross points, that is, points shared by more than two subdomains, one can interpret them as iterative solvers of the actual discrete problem directly issued from the finite element scheme....

Propagation of errors in dynamic iterative schemes

Zubik-Kowal, Barbara

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We consider iterative schemes applied to systems of linear ordinary differential equations and investigate their convergence in terms of magnitudes of the coefficients given in the systems. We address the question of whether the reordering of equations in a given system improves the convergence of an iterative scheme.

A well-balanced finite volume scheme for 1D hemodynamic simulations

Olivier Delestre, Pierre-Yves Lagrée (2012)

ESAIM: Proceedings

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We are interested in simulating blood flow in arteries with variable elasticity with a one dimensional model. We present a well-balanced finite volume scheme based on the recent developments in shallow water equations context. We thus get a mass conservative scheme which also preserves equilibria of  = 0. This numerical method is tested on analytical tests.