Anisotropic mesh adaptation for finite element solution of anisotropic porous medium equation
From MaRDI portal
Publication:1732473
DOI10.1016/j.camwa.2017.08.005zbMath1409.65074arXiv1708.07144OpenAlexW2748257478MaRDI QIDQ1732473
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.07144
finite elementporous medium equationmoving meshanisotropic diffusionadaptive meshanisotropic mesh adaptation
Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items
The well-posedness problem of an anisotropic porous medium equation with a convection term, The Gradient Discretization Method for Slow and Fast Diffusion Porous Media Equations
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Full discretization of the porous medium/fast diffusion equation based on its very weak formulation
- The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
- Adaptive moving mesh methods
- Numerical simulation for porous medium equation by local discontinuous Galerkin finite element method
- A study on moving mesh finite element solution of the porous medium equation
- The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem
- Error estimates for the finite volume discretization for the porous medium equation
- A constrained finite element method satisfying the discrete maximum principle for anisotropic diffusion problems
- On a class of similarity solutions of the porous media equation
- On a class of similarity solutions of the porous media equation. II
- Metric tensors for anisotropic mesh generation
- Interfaces in multidimensional diffusion equations with absorption terms
- An anisotropic mesh adaptation method for the finite element solution of heterogeneous anisotropic diffusion problems
- Application of the moving mesh method to the porous medium equation with variable exponent
- A finite difference moving mesh method based on conservation for moving boundary problems
- Maximum principle for the finite element solution of time-dependent anisotropic diffusion problems
- Conditioning of finite element equations with arbitrary anisotropic meshes
- How an Initially Stationary Interface Begins to Move in Porous Medium Flow
- Finite Element Approximation of the Fast Diffusion and the Porous Medium Equations
- Numerical Methods for Flows Through Porous Media. I
- An Interface Tracking Algorithm for the Porous Medium Equation
- Approximation of Degenerate Parabolic Problems Using Numerical Integration
- The propagation of disturbances in problems of non-linear heat conduction with absorption
- A priori đż^{đ} error estimates for Galerkin approximations to porous medium and fast diffusion equations
- Selfâsimilar numerical solutions of the porousâmedium equation using moving mesh methods
- Error Estimates for a Class of Degenerate Parabolic Equations
- Optimal Rates of Convergence for Degenerate Parabolic Problems in Two Dimensions
- Convergence of the Finite Element Method for the Porous Media Equation with Variable Exponent
- On the existence of maximum principles in parabolic finite element equations
- Two-step error estimators for implicit Runge--Kutta methods applied to stiff systems
- Regularity Propeties of Flows Through Porous Media
- DIFFUSION FROM AN INSTANTANEOUS POINT SOURCE WITH A CONCENTRATION-DEPENDENT COEFFICIENT