A comparison of continuous, discontinuous, and enriched Galerkin finite-element methods for elastic wave-propagation simulation
Sen, Mrinal K.
De Basabe, Jonas
Wheeler, Mary F.
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Finite Element Methods (FEM) are becoming increasingly popular in modeling seismic wave propagation. These methods provide higher order accuracy, geometrical flexibility and adaptive gridding capabilities that are not easy to incorporate in traditional finite difference (FD) methods employed for generation of synthetic seismograms. Moreover, several studies have shown that Discontinuous Galerkin FEM (DG) is a promising approach for modeling wave propagation in fractured media. Here we propose an Enriched Galerkin FEM (EG) for elastic wave propagation. EG and DG formulations have the same bilinear forms but differ in approximating spaces. Continuous Galerkin finite element (CG) spaces are enriched by discontinuous piecewise constants or linear functions. EG satisfies local equilibrium while reducing the degrees of freedom in DG formulations. In this paper we compare CG, DG, and EG for elastic wave propagation and show numerical examples in two spatial dimensions. Following earlier work on DG in fractured media, we develop EG for the same purpose. We demonstrate that EG can attain the same level of accuracy as that of DG but with much reduced computational cost and memory requirement.
Document Type:Trabajo in extenso congreso
Publisher:Society of Exploration Geophysicists
Citation:Vamaraju, J., Sen, M., De Basabe, J., Wheeler, M., 2017. A comparison of continuous, discontinuous, and enriched Galerkin finite-element methods for elastic wave-propagation simulation, in: SEG Technical Program Expanded Abstracts 2017. Society of Exploration Geophysicists, pp. 4063–4067. doi:10.1190/segam2017-17658225.1
UNESCO International Nomenclature: Sismología y prospección sísmica
INIS/ETDE Thesaurus:Finite Element Method