An interval arithmetic domain decomposition method for a class of elliptic PDEs on nonrectangular domains

DOI10.1016/0377-0427(94)90324-7zbMath0809.65121OpenAlexW2035497478MaRDI QIDQ1334791

Hartmut Schwandt

Publication date: 22 September 1994

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)90324-7

zbMATH Keywords

global convergencenumerical examplesdomain decompositioninterval arithmeticNewton-like methodssemilinear elliptic boundary value problemsdifference methodsnonrectangular domains

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Interval and finite arithmetic (65G30) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New techniques for the analysis of linear interval equations
• Interval arithmetic methods for systems of nonlinear equations arising from discretizations of quasilinear elliptic and parabolic partial differential equations
• Parallel interval multisplittings
• Optimale Lösung von Intervallgleichungssystemen
• Analysis of Preconditioners for Domain Decomposition
• On the Acceleration of an Interval-Arithmetic Iteration Method
• Krawczyk-Like Algorithms for the Solution of Systems of Nonlinear Equations
• The Solution of Nonlinear Elliptic Dirichlet Problems on Rectangles by Almost Globally Convergent Interval Methods

This page was built for publication: An interval arithmetic domain decomposition method for a class of elliptic PDEs on nonrectangular domains