Moving finite element methods by use of space–time elements: I. Scalar problems
✍ Scribed by Peter Hansbo
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 494 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0749-159X
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✦ Synopsis
This article deals with moving finite element methods by use of the time-discontinuous Galerkin formulation in combination with oriented space-time meshes. A principle for mesh orientation in space-time based on minimization of the residual, related to adaptive error control via an a posteriori error estimate, is presented. The relation to Miller's moving finite element method is discussed. The article deals with scalar problems; systems will be treated in a companion article.
📜 SIMILAR VOLUMES
In this paper, a space-time finite element method for evolution problems that is second-order accurate in both space and time is proposed. For convection dominated problems, the elements may be aligned along the characteristics in space-time, which results in a Crank-Nicolson method along the charac
A procedure to derive stabilized space-time finite element methods for advective -diffusive problems is presented. The starting point is the stabilized balance equation for the transient case derived by On ˜ate [Comput. Methods Appl. Mech. Eng., 151, 233-267 (1998)] using a finite increment calculus