\(r\)-refinement for evolutionary PDEs with finite elements or finite differences (Q1379048)
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scientific article; zbMATH DE number 1115972
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(r\)-refinement for evolutionary PDEs with finite elements or finite differences |
scientific article; zbMATH DE number 1115972 |
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\(r\)-refinement for evolutionary PDEs with finite elements or finite differences (English)
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3 July 1998
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The author establishes the main differences and similarities with respect to the grid properties of two methods from the class of \(r\)-refinements methods, namely, moving finite elements and moving finite differences. The usefulness of \(r\)-refinement, even in 1D, is shown by considering a reaction-diffusion system for two irreversible chemical reactions. The effect of collapsing grids in 2D is considered in connection with a first-order hyperbolic partial differential equation.
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moving finite elements
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moving finite differences
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numerical experiments
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reaction-diffusion system
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irreversible chemical reactions
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