Multigrid Methods on Adaptively Refined Grids

Multigrid Methods on Adaptively Refined Grids

Using multigrid solvers in the adaptive finite element method yields a powerful tool for solving large-scale partial differential equations that exhibit localized features such as singularities or shocks. In addition to describing the basic method and related theory, this article numerically demonst...

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Veröffentlicht in:Computing in science & engineering 2006-11, Vol.8 (6), p.44-54
Hauptverfasser: Bastian, P., Wieners, C.
Format: Artikel
Sprache:eng
Schlagworte:
adaptive mesh refinement
Boundary conditions
elliptic partial differential equations
finite element method
Finite element methods
Grid computing
Mathematical analysis
Mathematical models
Mesh generation
multigrid method
Multigrid methods
Partial differential equations
Piecewise linear approximation
Singularities
Solvers
Space heating
Space technology
Testing
Three dimensional
Utilities
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Beschreibung
Zusammenfassung:Using multigrid solvers in the adaptive finite element method yields a powerful tool for solving large-scale partial differential equations that exhibit localized features such as singularities or shocks. In addition to describing the basic method and related theory, this article numerically demonstrates the method's performance and utility on 2D and 3D problems
ISSN:1521-9615
1558-366X
DOI:10.1109/MCSE.2006.116