A modified Allen–Cahn equation with a mesh size-dependent interfacial parameter on a triangular mesh
J Yang, J Wang, S Kwak, S Ham, J Kim - Computer Physics …, 2024 - Elsevier
In this article, we propose a modified Allen–Cahn (AC) equation with a space-dependent
interfacial parameter. When numerically solving the AC equation with a constant interfacial …
interfacial parameter. When numerically solving the AC equation with a constant interfacial …
Discontinuous Galerkin method for the coupled dual-porosity-Brinkman model
In this paper we use the weighted discontinuous Galerkin finite element method to solve the
dual-porosity-Brinkman coupling model. The dual-porosity model describes fluid flow in a …
dual-porosity-Brinkman coupling model. The dual-porosity model describes fluid flow in a …
A discontinuous Galerkin method for the Brinkman–Darcy-transport problem
In this paper, a weighted discontinuous Galerkin finite element method and an upwind
format are presented to solve the coupled Brinkman–Darcy flow and transport model. The …
format are presented to solve the coupled Brinkman–Darcy flow and transport model. The …
Energy Dissipation Preserving Physics Informed Neural Network for Allen-Cahn Equations
M Kütük, H Yücel - arXiv preprint arXiv:2411.08760, 2024 - arxiv.org
This paper investigates a numerical solution of Allen-Cahn equation with constant and
degenerate mobility, with polynomial and logarithmic energy functionals, with deterministic …
degenerate mobility, with polynomial and logarithmic energy functionals, with deterministic …