Numerical methods for porous medium equation by an energetic variational approach
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Publication:2214663
DOI10.1016/j.jcp.2019.01.055zbMath1451.76118arXiv1806.10775OpenAlexW2810158834WikidataQ128346111 ScholiaQ128346111MaRDI QIDQ2214663
Cheng Wang, Chun Liu, Chenghua Duan, Xing Ye Yue
Publication date: 10 December 2020
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.10775
waiting timeporous medium equationenergetic variational approachfinite speed propagation of free boundarytrajectory equation
Numerical computation of solutions to systems of equations (65H10) Flows in porous media; filtration; seepage (76S05) Variational methods applied to problems in fluid mechanics (76M30) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Related Items (6)
A positive and energy stable numerical scheme for the Poisson-Nernst-Planck-Cahn-Hilliard equations with steric interactions ⋮ High order, semi-implicit, energy stable schemes for gradient flows ⋮ EnVarA-FEM for the flux-limited porous medium equation ⋮ Convergence analysis of structure‐preserving numerical methods for nonlinear Fokker–Planck equations with nonlocal interactions ⋮ Structure-Preserving Numerical Methods for Nonlinear Fokker--Planck Equations with Nonlocal Interactions by an Energetic Variational Approach ⋮ Numerical complete solution for random genetic drift by energetic variational approach
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