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A refined finite element convergence theory for highly indefinite Helmholtz problems - MaRDI portal

A refined finite element convergence theory for highly indefinite Helmholtz problems (Q854703)

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scientific article; zbMATH DE number 5077622
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A refined finite element convergence theory for highly indefinite Helmholtz problems
scientific article; zbMATH DE number 5077622

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    A refined finite element convergence theory for highly indefinite Helmholtz problems (English)
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    6 December 2006
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    The author develops a theory where the stability of Galerkin method can be formulated in terms of an ``almost variance property'' of a finite element space. This theory is used to prove the convergence of the Galerkin method for highly indefinite Helmholtz problems, and is applied to the case of one-dimensional problems.
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    Helmholtz equation
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    Robin condition
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    finite elements
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    indefinite problems
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    stability
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    Galerkin method
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    convergence
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