A priori error estimates for the arbitrary Lagrangian Eulerian formulation with finite elements (Q2752289)
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scientific article; zbMATH DE number 1660776
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A priori error estimates for the arbitrary Lagrangian Eulerian formulation with finite elements |
scientific article; zbMATH DE number 1660776 |
Statements
26 June 2002
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advection-diffusion problem
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linear finite elements
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implicit Euler scheme
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a priori error estimates
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A priori error estimates for the arbitrary Lagrangian Eulerian formulation with finite elements (English)
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The approximation by finite elements of a time-dependent advection-diffusion problem in a moving two-dimensional domain is considered. The author assumes that the motion of the boundary of the domain is given. This problem is discretized by linear finite elements in space and a modification of the implicit Euler scheme, based on the mid-point rule, in time. A priori error estimates optimal both in space and in time are derived, using slightly more regularity than for the case of non moving domains.
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