A conservative Allen–Cahn equation with a space–time dependent Lagrange multiplier
We present a new numerical scheme for solving a conservative Allen–Cahn equation with a
space–time dependent Lagrange multiplier. Since the well-known classical Allen–Cahn …
space–time dependent Lagrange multiplier. Since the well-known classical Allen–Cahn …
Hydrodynamical constraints on the bubble wall velocity
Terminal velocity reached by bubble walls in first-order phase transitions is an important
parameter determining both primordial gravitational wave spectrum and the production of …
parameter determining both primordial gravitational wave spectrum and the production of …
A multi-physical structure-preserving method and its analysis for the conservative Allen-Cahn equation with nonlocal constraint
X Liu, Q Hong, H Liao, Y Gong - Numerical Algorithms, 2024 - Springer
Abstract The conservative Allen-Cahn equation satisfies three important physical properties,
namely the mass conservation law, the energy dissipation law, and the maximum bound …
namely the mass conservation law, the energy dissipation law, and the maximum bound …
A high-order Discontinuous Galerkin Method with mesh refinement for optimal control
A high-order Discontinuous Galerkin (DG) finite element time-step** method is applied for
the numerical solution of optimal control problems within the framework of Pontryagin's …
the numerical solution of optimal control problems within the framework of Pontryagin's …
[HTML][HTML] On variational and symplectic time integrators for Hamiltonian systems
E Gagarina, VR Ambati, S Nurijanyan… - Journal of computational …, 2016 - Elsevier
Various systems in nature have a Hamiltonian structure and therefore accurate time
integrators for those systems are of great practical use. In this paper, a finite element method …
integrators for those systems are of great practical use. In this paper, a finite element method …
Hybrid methods for radiation transport using diagonally implicit runge–kutta and space–time discontinuous galerkin time integration
In this work, we describe extensions of a hybrid method for time-dependent linear, kinetic
radiation transport problems to high-order time integration schemes of the diagonally-implicit …
radiation transport problems to high-order time integration schemes of the diagonally-implicit …
[PDF][PDF] A review of mass lum** schemes for the spectral cell method
M Kelemen - 2021 - mediatum.ub.tum.de
The Finite Element Method (FEM) is a well established approach to obtaining approximate
solutions to various problems in physics. Suitable for the discretization of a wide range of …
solutions to various problems in physics. Suitable for the discretization of a wide range of …
[PDF][PDF] Variational space-time methods for the elastic wave equation and the diffusion equation
U Köcher - 2015 - scholar.archive.org
In this work we analyse variational space-time discretisation methods for an accurate and
reliable numerical approximation of three-dimensional elastic ultrasonic waves in solids …
reliable numerical approximation of three-dimensional elastic ultrasonic waves in solids …
A conservative discontinuous-Galerkin-in-time (DGiT) multirate time integration framework for interface-coupled problems with applications to solid–solid interaction …
In this paper we extend the DGiT multirate framework, developed in Connors and Sockwell
(2022) for scalar transmission problems, to a solid–solid interaction (SSI) problem involving …
(2022) for scalar transmission problems, to a solid–solid interaction (SSI) problem involving …
Numerical solutions of the incompressible miscible displacement equations in heterogeneous media
This paper presents a numerical method based on mixed finite element, discontinuous
Galerkin methods in space and high order Runge–Kutta method in time for solving the …
Galerkin methods in space and high order Runge–Kutta method in time for solving the …