On Certain Hybrid Iterative Methods for Solving Boundary Value Problems

On Certain Hybrid Iterative Methods for Solving Boundary Value Problems

A mathematical justification of certain new iterative schemes used in solving the Dirichlet and Neumann problems for the Laplace equation is given. These schemes are based on a combination of Green's formula and some numerical method, FEM, for example, which is applied to some auxiliary mixed t...

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Veröffentlicht in:SIAM journal on numerical analysis 1994-02, Vol.31 (1), p.101-110
Hauptverfasser: Kozlov, Vladimir, Vladimir Maz'ya, Rozin, Leonid
Format: Artikel
Sprache:eng
Schlagworte:
Algorithms
Applied mathematics
Approximation
Boundary value problems
Dirichlet problem
Embeddings
Exact sciences and technology
Finite element method
Iterative methods
Iterative solutions
Laplace equation
Mathematical functions
Mathematics
Methods
Neumann problem
Numerical analysis
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Sciences and techniques of general use
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Beschreibung
Zusammenfassung:A mathematical justification of certain new iterative schemes used in solving the Dirichlet and Neumann problems for the Laplace equation is given. These schemes are based on a combination of Green's formula and some numerical method, FEM, for example, which is applied to some auxiliary mixed type boundary value problem on a subset of the original domain.
ISSN:0036-1429
1095-7170
DOI:10.1137/0731005