On numerical blow-up sets

DOI10.1090/S0002-9939-02-06350-5zbMath0986.35053MaRDI QIDQ2782636

Julián Fernández Bonder, Julio D. Rossi, Pablo Groisman

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

heat equationnonlinear boundary conditionssemidiscrete approximationsmass lumping techniquesfirst degree finite element approximationlocalization problem of blow-up points

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (2)

Numerical analysis of the rescaling method for parabolic problems with blow-up in finite time ⋮ Numerical method of estimating the blow-up time and rate of the solution of ordinary differential equations -- an application to the blow-up problems of partial differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Parabolic evolution equations and nonlinear boundary conditions
• Blow up results and localization of blow up points for the heat equation with a nonlinear boundary condition
• Blowup in diffusion equations: A survey
• Blow-up results and localization of blow-up points in an \(N\)-dimensional smooth domain
• Numerical approximation of a parabolic problem with a nonlinear boundary condition
• Numerical approximation of a parabolic problem with a nonlinear boundary condition in several space dimensions
• The role of critical exponents in blow-up theorems: The sequel
• On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equations with a Nonlinear Boundary Condition
• The Global Dynamics of Discrete Semilinear Parabolic Equations
• Blow-up vs. spurious steady solutions
• Asymptotic behaviour for a numerical approximation of a parablic problem with blowing up solutions

This page was built for publication: On numerical blow-up sets