Multigrid Convergence of Discrete Geometric Estimators

2012 ◽  
pp. 395-424 ◽  
Author(s):  
David Coeurjolly ◽  
Jacques-Olivier Lachaud ◽  
Tristan Roussillon
Keyword(s):  
Multigrid Convergence

scholarly journals FINITE-DIFFERENCE ANALYSIS FOR THE LINEAR THERMOPOROELASTICITY PROBLEM AND ITS NUMERICAL RESOLUTION BY MULTIGRID METHODS

2012 ◽  
Vol 17 (2) ◽  
pp. 227-244 ◽  
Author(s):  
Natalia Boal ◽  
Francisco Jos´e Gaspar ◽  
Francisco Lisbona ◽  
Petr Vabishchevich
Keyword(s):  
Finite Difference ◽  
Difference Scheme ◽  
Finite Difference Scheme ◽  
Numerical Experiments ◽  
Stability And Convergence ◽  
System Of Equations ◽  
Convergence Properties ◽  
Discrete Energy ◽  
Numerical Resolution ◽  
Multigrid Convergence

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.

scholarly journals On multigrid convergence in the indefinite case

1978 ◽  
Vol 32 (144) ◽  
pp. 1082-1082 ◽  
Author(s):  
R. A. Nicolaides
Keyword(s):  
Multigrid Convergence
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