Application of the moving mesh method to the porous medium equation with variable exponent

DOI10.1016/j.matcom.2014.11.025OpenAlexW2037550635MaRDI QIDQ2228694

José C. M. Duque, Rui M. P. Almeida, Stanislav N. Antontsev

Publication date: 19 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2014.11.025

zbMATH Keywords

finite element methodmoving boundaryporous medium equationmoving meshvariable exponent

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (3)

EnVarA-FEM for the flux-limited porous medium equation ⋮ Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients ⋮ Anisotropic mesh adaptation for finite element solution of anisotropic porous medium equation

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

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• A model porous medium equation with variable exponent of nonlinearity: existence, uniqueness and localization properties of solutions
• The MATLAB ODE Suite
• Temporal Derivatives in the Finite-Element Method on Continuously Deforming Grids
• Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems
• Convergence of the Finite Element Method for the Porous Media Equation with Variable Exponent
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
• Variational mesh adaptation: Isotropy and equidistribution

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