Non-conforming high order approximations of the elastodynamics equation
In this paper we formulate and analyze two non-conforming high order strategies for the approximation of elastic wave problems in heterogeneous media, namely the Mortar Spectral Element Method and the Discontinuous Galerkin Spectral Element Method. Starting from a common variational formulation we make a full comparison of the two techniques from the points of view of accuracy, convergence, grid dispersion and stability.
Keywords: Spectral methods ; Non-conforming domain decomposition techniques ; Computational seismology ; Numerical approximations and analysis ; Finite-Element Methods ; Elastic-Wave Propagation ; Discontinuous Galerkin Method ; Domain Decomposition ; Elliptic Problems ; Unstructured Meshes ; Dispersion Analysis ; Linear Elasticity ; Viscoelasticity
Record created on 2012-03-29, modified on 2016-08-09