Simulation of Wave Equation on Manifold using DEC

Abstract

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 space and the time. This paper deals with the description of discrete exterior calculus method for numerical simulation of wave equation. The advantage of this method is that it can be used to compute equation on the space manifold and the time. The analysis of its stable condition and error is also accomplished.

9 pages,15 figures

References in corpus (4)

• Geometric Computational Electrodynamics with Variational Integrators and Discrete Differential Forms
• Discretising geometry and preserving topology I: A discrete exterior calculus
• Variational Principles on Triangulated Surfaces
• Computation of Maxwell's equations on Manifold using DEC

Cited by in corpus (1)

• Two unconditional stable schemes for simulation of heat equation on manifold using DEC