Strong and weak discrete maximum principles for matrices associated with elliptic problems

DOI10.1016/0024-3795(87)90119-4zbMath0632.65108OpenAlexW2000684691MaRDI QIDQ1095617

Kazuo Ishihara

Publication date: 1987

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(87)90119-4

zbMATH Keywords

finite element methodfinite difference methodnumerical examplesLaplace equationdiscrete maximum principlesradiation cooling problem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Maximum principles in context of PDEs (35B50) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Successive overrelaxation method with projection for finite element solutions applied to the Dirichlet problem of the nonlinear elliptic equation \(\Delta u=bu^ 2\), Projected successive overrelaxation method for finite-element solutions to the Dirichlet problem for a system of nonlinear elliptic equations, On discrete maximum principles for nonlinear elliptic problems, Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems, Discrete minimum and maximum principles for finite element approximations of non-monotone elliptic equations, Discrete maximum principles for finite element solutions of nonlinear elliptic problems with mixed boundary conditions, Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures, Finite element approximation to the extremal eigenvalue problem for inhomogenous materials

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