A Variational Lagrangian Scheme for a Phase-Field Model: A Discrete Energetic Variational Approach
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Publication:5147972
DOI10.1137/20M1326684zbMath1456.65118arXiv2003.10413OpenAlexW3112917280MaRDI QIDQ5147972
Publication date: 29 January 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.10413
Variational methods applied to PDEs (35A15) 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)
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A Variational Analysis for the Moving Finite Element Method for Gradient Flows ⋮ Modelling and computation of liquid crystals ⋮ A structure-preserving, operator splitting scheme for reaction-diffusion equations with detailed balance ⋮ Controlling conservation laws. II: Compressible Navier-Stokes equations ⋮ A Second-Order Accurate, Operator Splitting Scheme for Reaction-Diffusion Systems in an Energetic Variational Formulation ⋮ Gradient Flows for Coupling Order Parameters and Mechanics ⋮ EnVarA-FEM for the flux-limited porous medium equation ⋮ Particle-based energetic variational inference
Uses Software
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