Title

Multigrid methods for saddle point problems: Darcy systems

Document Type

Article

Publication Date

2-1-2018

Abstract

We design and analyze multigrid methods for the saddle point problems resulting from Raviart–Thomas–Nédélec mixed finite element methods 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.

Publication Source (Journal or Book title)

Numerische Mathematik

First Page

437

Last Page

471

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