4 citations · 7 across the 5 of their papers we have counts for
5 papers
Westervelt Equation Simulation on Manifold using DEC
Zheng Xie, Yujie Ma
The Westervelt equation is a model for the propagation of finite amplitude ultrasound. The method of discrete exterior calculus can be used to solve this equation numerically. A si…
Two unconditional stable schemes for simulation of heat equation on manifold using DEC
Zheng Xie, Yujie Ma
To predict the heat diffusion in a given region over time, it is often necessary to find the numerical solution for heat equation. With the techniques of discrete differential calc…
Simulation of Wave Equation on Manifold using DEC
Zheng Xie, Yujie Ma
The classical numerical methods play important roles in solving wave equation, e.g. finite difference time domain method. However, their computational domain are limited to flat sp…
Computation of Maxwell's equations on manifold using implicit DEC scheme
Zheng Xie, Yujie Ma
Maxwell's equations can be solved numerically in space manifold and the time by discrete exterior calculus as a kind of lattice gauge theory.Since the stable conditions of this met…
Computation of Maxwell's equations on Manifold using DEC
Zheng Xie, Yujie Ma
In this paper, the method of discrete exterior calculus for numerically solving Maxwell's equations in space manifold and the time is discussed, which is a kind of lattice gauge th…