Moving mesh method for problems with blow-up on unbounded domains

DOI10.1007/s11075-011-9476-3zbMath1303.65071OpenAlexW1995357183MaRDI QIDQ662891

Kewei Liang, Hua Qiang

Publication date: 13 February 2012

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-011-9476-3

zbMATH Keywords

Finite time blow-upLocal absorbing boundary conditionsMonitor functionsMoving mesh methodUnbounded spatial domains

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58)

Related Items

Numerical blow-up of nonlinear parabolic integro-differential equations on unbounded domain, A simple moving mesh method for blowup problems

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical blow-up of semilinear parabolic PDEs on unbounded domains in \(\mathbb R^{2}\)
• A numerical investigation of blow-up in reaction-diffusion problems with traveling heat sources
• Blowup in diffusion equations: A survey
• Moving mesh methods based on moving mesh partial differential equations
• A perfectly matched layer for the absorption of electromagnetic waves
• An iterative grid redistribution method for singular problems in multiple dimensions
• Computational Solution of Blow-Up Problems for Semilinear Parabolic PDEs on Unbounded Domains
• Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems
• Moving Mesh Partial Differential Equations (MMPDES) Based on the Equidistribution Principle
• Analysis of Moving Mesh Partial Differential Equations with Spatial Smoothing
• Moving Mesh Methods for Problems with Blow-Up
• Parabolic Monge–Ampère methods for blow-up problems in several spatial dimensions
• An efficient dynamically adaptive mesh for potentially singular solutions