6533b870fe1ef96bd12cf0cb

RESEARCH PRODUCT

A Lagrange Multiplier Based Domain Decomposition Method for the Solution of a Wave Problem with Discontinuous Coefficients

Jacques PeriauxSerguei LapinPierre-marie JacquartAlexander Lapin

subject

Piecewise linear functionsymbols.namesakeConstraint algorithmLagrange multiplierConjugate gradient methodMathematical analysisMathematicsofComputing_NUMERICALANALYSISsymbolsBoundary (topology)Domain decomposition methodsSystem of linear equationsDomain (mathematical analysis)Mathematics

description

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.

yearjournalcountryeditionlanguage
2008-01-01
https://doi.org/10.1007/978-1-4020-8758-5_7