A parallel iterative Galerkin method based on nonconforming quadrilateral elements for second-order partial differential equations (Q1855653)
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scientific article; zbMATH DE number 1861054
| Language | Label | Description | Also known as |
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| English | A parallel iterative Galerkin method based on nonconforming quadrilateral elements for second-order partial differential equations |
scientific article; zbMATH DE number 1861054 |
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A parallel iterative Galerkin method based on nonconforming quadrilateral elements for second-order partial differential equations (English)
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28 January 2003
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The authors investigate a nonconforming finite element for a convection-diffusion equation on polygonal domains in the plane. A domain decomposition method with Schwarz iterations is used, with Robin boundary conditions on interior interfaces. The analysis is a modification of arguments used by \textit{J. Douglas jun., J. E. Santos, D. Sheen}, and \textit{X. Ye} [M2AN, Math. Model. Numer. Anal. 33, No. 4, 747-770 (1999; Zbl 0941.65115)] for Dirichlet problems.
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nonconforming Galerkin method
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domain decomposition
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finite element
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parallel computation
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convection-diffusion equation
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Schwarz iterations
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robin boundary conditions
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Dirichlet problems
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