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1996•Unpublished venueOpen access

Additive Schwarz Methods for Elliptic Mortar Finite Element Problems

Maksymilian Dryja

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Abstract

Domain decomposition methods are designed and analyzed as additive Schwarz methods for the linear systems arising from the discretization of elliptic problems. The discretization is obtained by a mortar element method with a finite element approximation on a nonmatching triangulation. The additive Schwarz methods use inexact solvers and they can also be applied to elliptic problems with discontinuous coefficients.

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Domain decomposition methods are designed and analyzed as additive Schwarz methods for the linear systems arising from the discretization of elliptic problems. The discretization is obtained by a mortar element method with a finite element approximation on a nonmatching triangulation. The additive Schwarz methods use inexact solvers and they can also be applied to elliptic problems with discontinuous coefficients.

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Available abstract

Domain decomposition methods are designed and analyzed as additive Schwarz methods for the linear systems arising from the discretization of elliptic problems. The discretization is obtained by a mortar element method with a finite element approximation on a nonmatching triangulation. The additive Schwarz methods use inexact solvers and they can also be applied to elliptic problems with discontinuous coefficients.

Key concepts: Additive Schwarz method, Schwarz alternating method, Domain decomposition methods, Discretization, Mortar methods, Finite element method, Mathematics, Applied mathematics

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