H. Hu, Qiyia
Abstract
In this paper we consider the domain decomposition methods with mortar element Lagrange multipliers to two-dimensional elliptic problems.We shall construct a kind of simple preconditioners for the corresponding interface equation.It will be shown that condition number of the preconditioned interface matrix is almost optimal.
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In this paper we consider the domain decomposition methods with mortar element Lagrange multipliers to two-dimensional elliptic problems.We shall construct a kind of simple preconditioners for the corresponding interface equation.It will be shown that condition number of the preconditioned interface matrix is almost optimal.
Key concepts: Mortar methods, Domain decomposition methods, Preconditioner, Lagrange multiplier, Mortar, Constraint algorithm, Domain (mathematical analysis), Decomposition