An \(r\)-adaptive finite element method based upon moving mesh PDEs (Q1284534)
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scientific article; zbMATH DE number 1278937
| Language | Label | Description | Also known as |
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| English | An \(r\)-adaptive finite element method based upon moving mesh PDEs |
scientific article; zbMATH DE number 1278937 |
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An \(r\)-adaptive finite element method based upon moving mesh PDEs (English)
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17 October 1999
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This paper proposes a moving-mesh, finite-element method for time-dependent partial differential equations using unstructured grids on domains in the plane. A similar method using structured grids was earlier given by two of the authors [\textit{W. Huang} and \textit{R. D. Russell}, Moving mesh strategy based upon a gradient flow equation for two-dimensional problems, SIAM J. Sci. Comput. (to appear)]. Several examples are given, illustrating both the advantages and the limitations of the method.
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moving mesh, finite-element method
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unstructured grids
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