Energy stable discretization of Allen-Cahn type problems modeling the motion of phase boundaries
A Böttcher, H Egger - arXiv preprint arXiv:1703.02778, 2017 - arxiv.org
We study the systematic numerical approximation of a class of Allen-Cahn type problems
modeling the motion of phase interfaces. The common feature of these models is an …
modeling the motion of phase interfaces. The common feature of these models is an …
[PDF][PDF] Energy stable model order reduction for the
M Uzunca, B Karasözen - researchgate.net
Abstract The Allen-Cahn equation is a gradient system, where the free-energy func-4 tional
decreases monotonically in time. We develop an energy stable reduced order 5 model …
decreases monotonically in time. We develop an energy stable reduced order 5 model …
[图书][B] Symmetric Interior Penalty Galerkin Method For Fractional-In-Space Allen-Cahn Equations
M Stoll, H Yücel - 2015 - csc.mpi-magdeburg.mpg.de
Fractional differential equations are becoming increasingly popular as a modelling tool to
describe a wide range of non-classical phenomena with spatial heterogeneities throughout …
describe a wide range of non-classical phenomena with spatial heterogeneities throughout …
Higher order operator splitting Fourier spectral methods for the Allen-Cahn equation
J Shin, HG Lee, JY Lee - arXiv preprint arXiv:1502.02529, 2015 - arxiv.org
The Allen-Cahn equation is solved numerically by operator splitting Fourier spectral
methods. The basic idea of the operator splitting method is to decompose the original …
methods. The basic idea of the operator splitting method is to decompose the original …
Discontinuous galerkin finite elements method with structure preserving time integrators for gradient flow equations
A Sarıaydın Filibelioğlu - 2015 - open.metu.edu.tr
Gradient flows are energy driven evolutionary equations such that the energy decreases
along solutions. There have been surprisingly a large number of well-known partial …
along solutions. There have been surprisingly a large number of well-known partial …
[PDF][PDF] Average vector field method with discontinuous Galerkin finite element space discretization for Allen–Cahn equation
A Sarıaydın, MUB Karasözen - 2014 - researchgate.net
In this work, Allen–Cahn equation is discretized using symmetric interior penalty
discontinuous Galerkin finite elements. Time discretization is performed by the energy stable …
discontinuous Galerkin finite elements. Time discretization is performed by the energy stable …