Title

Additive Schwarz preconditioners for C0 interior penalty methods for the obstacle problem of clamped Kirchhoff plates

Document Type

Article

Publication Date

1-1-2022

Subject Area

ARRAY(0x55a2a9586f38)

Abstract

The discrete variational inequalities resulting from (Formula presented.) interior penalty methods for the obstacle problem of clamped Kirchhoff plates can be solved by the primal-dual active set algorithm. We develop and analyze additive Schwarz preconditioners for the auxiliary systems that appear in each iteration of the primal-dual active set algorithm. Numerical results corroborate our theoretical estimates.

Publication Title

Numerical Methods for Partial Differential Equations

Volume

38

Issue

1

First Page

102

Last Page

117

Digital Object Identifier (DOI)

10.1002/num.22834

ISSN

0749159X

E-ISSN

10982426

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