Book chapter
A Lagrange Multiplier Based Domain Decomposition Method for the Solution of a Wave Problem with Discontinuous Coefficients
Partial Differential Equations, pp.131-145
Computational Methods in Applied Sciences, Springer Netherlands
Handle:
https://hdl.handle.net/2376/113440
Abstract
In this paper we consider the numerical solution of a linear wave equation with discontinuous coefficients. We divide the computational domain into two subdomains and use explicit time difference scheme along with piecewise linear finite element approximations on semimatching grids. We apply boundary supported Lagrange multiplier method to match the solution on the interface between subdomains. The resulting system of linear equations of the “saddle-point” type is solved efficiently by a conjugate gradient method.
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Details
- Title
- A Lagrange Multiplier Based Domain Decomposition Method for the Solution of a Wave Problem with Discontinuous Coefficients
- Creators
- Serguei Lapin - Department of Mathematics, Washington State University, Pullman, USAAlexander Lapin - Department of Computational Mathematics and Cybernetics, Kazan State University, Kazan, RussiaJacques Périaux - University of Jyväskylä, Department of Mathematical Information Technology, University of Jyväskylä, Agora, FinlandPierre-Marie Jacquart - Dassault Aviation, Saint-Cloud, France
- Publication Details
- Partial Differential Equations, pp.131-145
- Academic Unit
- Mathematics and Statistics, Department of
- Series
- Computational Methods in Applied Sciences
- Publisher
- Springer Netherlands; Dordrecht
- Identifiers
- 99900547637801842
- Language
- English
- Resource Type
- Book chapter