FULLY DISCRETE ADAPTIVE METHODS FOR A BLOW-UP PROBLEM

DOI10.1142/S0218202504003751zbMath1065.35022MaRDI QIDQ4661831

Julio D. Rossi, Pablo Groisman, Cristina Brändle

Publication date: 30 March 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

nonlinear boundary conditionsnonlinear diffusionnumerical blow up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Theoretical approximation in context of PDEs (35A35) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (12)

Discontinuous Galerkin method for blow-up solutions of nonlinear wave equations ⋮ Preservation of the growth rates of delay differential equations by Euler schemes with non-uniform step sizes ⋮ A complete characterization of extinction versus positivity of solutions to a parabolic problem of \(p\)-Laplacian type in graphs ⋮ A mass-lumping finite element method for radially symmetric solution of a multidimensional semilinear heat equation with blow-up ⋮ Blow-Up for Discretization of a Localized Semilinear Heat Equation ⋮ On the Cauchy problem for a quantum kinetic equation linked to the Compton effect ⋮ A complete characterization of nonlinear absorption for the evolution \(p\)-Laplacian equations to have positive or extinctive solutions ⋮ Positivity preserving high-order local discontinuous Galerkin method for parabolic equations with blow-up solutions ⋮ Blowing up behavior for a class of nonlinear VIEs connected with parabolic PDEs ⋮ Numerical blow-up on whole domain for a quasilinear parabolic equation with nonlinear boundary condition ⋮ Numerical blow-up time for a semilinear parabolic equation with nonlinear boundary conditions ⋮ An adaptive numerical method to handle blow up in a parabolic system

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