Discrete and continuous maximum principles for parabolic and elliptic operators

DOI10.1016/j.cam.2010.05.050zbMath1198.65180OpenAlexW2048133545MaRDI QIDQ1959472

Miklós Emil Mincsovics

Publication date: 7 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cam.2010.05.050

zbMATH Keywords

maximum principlestabilizationdiscrete maximum principlematrix splittingdiscrete mesh operatorlinear parabolic and elliptic operatorsone-step iteration

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Initial-boundary value problems for second-order parabolic equations (35K20) Maximum principles in context of PDEs (35B50) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items

Necessary and sufficient conditions of optimality for a damped hyperbolic equation in one-space dimension ⋮ Qualitative properties of discrete nonlinear parabolic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Comparison theorems for weak splittings of bounded operators
• Nonnegative splitting theory
• Discrete maximum principle for finite-difference operators
• Discrete Maximum Principle for Finite Element Parabolic Operators
• Discrete maximum principle for higher-order finite elements in 1D
• On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes
• Continuous and discrete parabolic operators and their qualitative properties
• Discrete Maximum Principle and Adequate Discretizations of Linear Parabolic Problems