Domain Decomposition Methods for Wave Propagation in Heterogeneous Media

R. Glowinski (), S. Lapin (), J. Periaux (), P.M. Jacquart and H.Q. Chen
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R. Glowinski: University of Houston
S. Lapin: University of Houston
J. Periaux: Pole Scientifique Dassault Aviation
P.M. Jacquart: Dassault Aviation
H.Q. Chen: Nanjing University of Aeronautics and Astronautics

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 1203-1211 from Springer

Abstract: Abstract The main goal of this paper is to address the numerical solution of a wave equation with discontinuous coefficients by a finite element method using domain decomposition and semimatching grids. A wave equation with absorbing boundary conditions is considered, the coefficients in the equation essentially differ in the subdomains. The problem is approximated by an explicit in time finite difference scheme combined with a piecewise linear finite element method in the space variables on a semimatching grid. The matching condition on the interface is taken into account by means of Lagrange multipliers. The resulting system of linear equations of the saddle-point form is solved by a conjugate gradient method.

Keywords: Incident Wave; Domain Decomposition; Conjugate Gradient Method; Domain Decomposition Method; Piecewise Constant Function (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_121

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DOI: 10.1007/978-3-540-34288-5_121

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