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Original Articles

Finite-Difference Analysis for the Linear Thermoporoelasticity Problem and Its Numerical Resolution by Multigrid Methods

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Pages 227-244 | Received 18 Oct 2011, Accepted 22 Jan 2012, Published online: 07 Mar 2012
 

Abstract

This paper deals with the numerical solution of a two-dimensional thermoporoelasticity problem using a finite-difference scheme. Two issues are discussed: stability and convergence in discrete energy norms of the finite-difference scheme are proved, and secondly, a distributive smoother is examined in order to find a robust and efficient multigrid solver for the corresponding system of equations. Numerical experiments confirm the convergence properties of the proposed scheme, as well as fast multigrid convergence.

AMS Subject Classification:

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