Defect correction and domain decomposition for second-order boundary value problems

Highly accurate approximation is obtained through the techniques of defect correction and domain decomposition for second-order elliptic boundary value problems on a disc. The basic solution is computed using the Schwarz domain decomposition procedure and bilinear Galerkin finite element approximati...

Celý popis

Uloženo v:
Podrobná bibliografie
Vydáno v:Journal of computational and applied mathematics Ročník 130; číslo 1; s. 41 - 51
Hlavní autor: Chibi, Ahmed-Salah
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier B.V 01.05.2001
Elsevier
Témata:
Acceleration of convergence
Bilinear finite elements
Defect correction
Elliptic problems
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis in abstract spaces
Numerical analysis. Scientific computation
Partial differential equations, boundary value problems
Schwarz domain decomposition
Sciences and techniques of general use
Bilinear finite elements
Defect correction
65J10
Elliptic problems
65B05
65N55
Schwarz domain decomposition
65N30
Second order
Bilinear system
Partial differential equation
Finite element method
Boundary value problem
Schwarz mzthod
Elliptic problem
Lagrange interpolation
Defect
Galerkin method
Domain decomposition
Corrections
Finite element
Bilinear approximation
ISSN:0377-0427, 1879-1778
On-line přístup:Získat plný text
Tagy: Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
Popis
Shrnutí:Highly accurate approximation is obtained through the techniques of defect correction and domain decomposition for second-order elliptic boundary value problems on a disc. The basic solution is computed using the Schwarz domain decomposition procedure and bilinear Galerkin finite element approximation on each subdomain to get an O( h 2) accurate basic solution in higher-order discrete Sobolev norms. The defects are then computed using high-order polynomials (Lagrange polynomials or splines) to get as many O( h 2) corrections as possible.
ISSN:0377-0427
1879-1778
DOI:10.1016/S0377-0427(99)00392-1