Multigrid Methods for Saddle Point Problems: Darcy Systems

2015/11/26 by Brenner, Susanne C., Oh, Duk-Soon, Sung, Li-yeng · 1 citation
#65N15 #65N30 #65N55 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1511.08329

Abstract

We design and analyze multigrid methods for the saddle point problems resulting from Raviart-Thomas-Nédélec mixed finite element methods (of order at least 1) for the Darcy system in porous media flow. Uniform convergence of the W-cycle algorithm in a nonstandard energy norm is established. Extensions to general second order elliptic problems are also addressed.

Cited by

• Unified analysis of saddle point problems via auxiliary space theory

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