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Finite-difference analysis for the linear thermoporoelasticity problem and its numerical resolution by multigrid methods

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.

Keyword : finite-difference scheme, multigrid, finite-difference method

How to Cite
Boal, N., Gaspar, F. J., Lisbona, F., & Vabishchevich, P. (2012). Finite-difference analysis for the linear thermoporoelasticity problem and its numerical resolution by multigrid methods. Mathematical Modelling and Analysis, 17(2), 227-244. https://doi.org/10.3846/13926292.2012.662177
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Apr 1, 2012
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