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Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems - MaRDI portal

Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems (Q1971276)

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scientific article; zbMATH DE number 1422526
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English
Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems
scientific article; zbMATH DE number 1422526

    Statements

    Convergence and domain decomposition algorithm for nonconforming and mixed methods for nonselfadjoint and indefinite problems (English)
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    20 July 2000
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    Uniqueness and convergence of the solution of nonconforming and mixed finite element methods with non-quasi-uniform partition are proven for nonselfadjoint and indefinite second-order elliptic problems under minimal regularity assumption. Moreover, uniform convergence of the solution of the nonconforming method is obtained. Meanwhile, a domain decomposition algorithm which suits to a non-quasi-uniform partition is proposed for nonconforming and mixed methods.
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    second-order elliptic problems
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    nonconforming and mixed finite element methods
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    domain decomposition
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    error estimates
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    convergence
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    algorithm
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