Paper Info
Title
Mimetic discretization and higher order time integration for acoustic, electromagnetic and elastodynamic wave propagation.
Abstract
This paper is devoted to the simulation of acoustic, electromagnetic and elastodynamic wave propagation problems in a unified manner. We focus on the finite integration technique for the spatial discretization of the first-order wave equation systems using lowest order elements. A universal framework of staggered grids is set up in which the application of the finite integration technique for acoustics, electromagnetics and elastodynamics can be combined. This framework offers opportunities to get generic and more efficient implementations. The mimetic properties of the discretization technique are outlined. For the time integration, the use of a class of higher order time integrators with close resemblance to the classical leapfrog method is discussed. It is shown that for the considered wave propagation problems higher order time integrators compare favourably to the classical second leapfrog order scheme, even in combination with a low order spatial discretization.
Year
DOI
Venue
2014
10.1016/j.cam.2013.02.027
J. Computational Applied Mathematics
Keywords
Field
DocType
order scheme,lowest order element,higher order time integration,discretization technique,low order spatial discretization,considered wave propagation problem,finite integration technique,spatial discretization,higher order time integrator,first-order wave equation system,elastodynamic wave propagation problem,mimetic discretization,wave propagation
Finite integration,Discretization,Mathematical optimization,Wave propagation,Mathematical analysis,Electromagnetics,Integrator,Leapfrog integration,Wave equation,Mathematics
Journal
Volume
ISSN
Citations 
259
0377-0427
1
PageRank 
References 
Authors
0.35
2
5
Name
Order
Citations
PageRank
Steven Vandekerckhove110.69
Bart Vandewoestyne2153.61
Herbert De Gersem3128.63
Koen Van Den Abeele451.16
Stefan Vandewalle550162.63