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A PRECONDITIONER FOR THREE－DIMENSIONAL DOMAIN DECOMPOSITION METHODS WITH LAGRANGE MULTIPLIERS

HUQiya, LIANGGuoping, LIUJinzhao

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Abstract

In this paper we consider domain decomposition methods for three-dimensional elliptic problems with Lagrange multipliers, and construct a kind of simple preconditioner for the corresponding interface equation. It will be shown that condition number of the resulting preconditioned interface matrix is almost optimal.

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What this paper is about

In this paper we consider domain decomposition methods for three-dimensional elliptic problems with Lagrange multipliers, and construct a kind of simple preconditioner for the corresponding interface equation. It will be shown that condition number of the resulting preconditioned interface matrix is almost optimal.

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Available abstract

In this paper we consider domain decomposition methods for three-dimensional elliptic problems with Lagrange multipliers, and construct a kind of simple preconditioner for the corresponding interface equation. It will be shown that condition number of the resulting preconditioned interface matrix is almost optimal.

Key concepts: Preconditioner, Domain decomposition methods, Lagrange multiplier, Mathematics, Constraint algorithm, Simple (philosophy), Mortar methods, Domain (mathematical analysis)

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