Implicit Extrapolation Methods for Multilevel Finite Element Computations | Zendy

Michael Jung | Zendy; Ulrich Ruede | Zendy

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Implicit Extrapolation Methods for Multilevel Finite Element Computations

Author(s) -

Michael Jung,

Ulrich Ruede

Publication year - 1996

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/0917012

Subject(s) - extrapolation , mathematics , multigrid method , finite element method , partial differential equation , residual , computation , polygon mesh , context (archaeology) , mathematical optimization , mathematical analysis , algorithm , geometry , paleontology , physics , biology , thermodynamics

. Extrapolation methods for the solution of partial differential equations are commonlybased on the existence of error expansions for the approximate solution. Implicit extrapolation,in the contrast, is based on applying extrapolation indirectly, by using it on quantities like theresidual. In the context of multigrid methods, a special technique of this type is known as ? -extrapolation. For finite element systems this algorithm can be shown to be equivalent to higherorder finite elements. ...

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