Discrete solutions for the porous medium equation with absorption and variable exponents

DOI10.1016/j.matcom.2016.12.008OpenAlexW2557186030MaRDI QIDQ2229056

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.2016.12.008

zbMATH Keywords

finite element methodporous medium equationvariable exponents

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items (3)

On the Analytic Solutions of a Special Boundary Value Problem for a Nonlinear Heat Equation in Polar Coordinates ⋮ On solutions of a parabolic equation with nonstandard growth condition ⋮ The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical study of the porous medium equation with absorption, variable exponents of nonlinearity and free boundary
• Regularity of interfaces in diffusion processes under the influence of strong absorption
• Interfaces in multidimensional diffusion equations with absorption terms
• Study of the solutions to a model porous medium equation with variable exponent of nonlinearity
• Linear and quasilinear elliptic equations
• The Behavior of the Support of Solutions of the Equation of Nonlinear Heat Conduction with Absorption in One Dimension
• Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations
• Numerical Methods for Flows Through Porous Media. I
• The One-Dimensional Nonlinear Heat Equation with Absorption: Regularity of Solutions and Interfaces
• Approximation of Degenerate Parabolic Problems Using Numerical Integration
• A priori 𝐿^{𝜌} error estimates for Galerkin approximations to porous medium and fast diffusion equations
• Error Estimates for a Class of Degenerate Parabolic Equations
• Optimal Rates of Convergence for Degenerate Parabolic Problems in Two Dimensions
• Evolution PDEs with Nonstandard Growth Conditions
• Convergence of the Finite Element Method for the Porous Media Equation with Variable Exponent
• Galerkin Finite Element Methods for Parabolic Problems

This page was built for publication: Discrete solutions for the porous medium equation with absorption and variable exponents