Print Email Facebook Twitter Speeding up a mass-lumped tetrahedral finite-element method for wave propagation Title Speeding up a mass-lumped tetrahedral finite-element method for wave propagation Author Mulder, W.A. (TU Delft Applied Geophysics and Petrophysics; Shell Global Solutions International B.V.) Geevers, S. (Universität Wien) van der Vegt, J. (University of Twente) Date 2019 Abstract Mass-lumped finite elements on tetrahedra offer more flexibility than their counterpart on hexahedra for the simulation of seismic wave propagation, but there is no general recipe for their construction, unlike as with hexahedra. Earlier, we found new elements up to degree 4 that have significantly less nodes than previously known elements by sharpening the accuracy criterion. A similar approach applied to numerical quadrature of the stiffness matrix provides a speed improvement in the acoustic case and an additional factor 1.5 in the isotropic elastic case. We present numerical results for a homogeneous and heterogeneous isotropic elastic test problem on a sequence of successively finer meshes and for elements of degrees 1 to 4. A comparison of their accuracy and computational efficiency shows that a scheme of degree 4 has the best performance when high accuracy is desired, but the one of degree 3 is more efficient at intermediate accuracy. To reference this document use: http://resolver.tudelft.nl/uuid:bbf68d9e-d156-452a-a24d-78e3a783843a DOI https://doi.org/10.3997/2214-4609.201900659 Publisher EAGE ISBN 9789462822894 Source 81st EAGE Conference and Exhibition 2019: 3-6 June 2019, London, UK Event 81st EAGE Conference and Exhibition 2019, 2019-06-03 → 2019-06-06, ExCeL Centre, London, United Kingdom Bibliographical note Accepted Author Manuscript Part of collection Institutional Repository Document type conference paper Rights © 2019 W.A. Mulder, S. Geevers, J. van der Vegt Files PDF Apure.pdf 609.58 KB Close viewer /islandora/object/uuid:bbf68d9e-d156-452a-a24d-78e3a783843a/datastream/OBJ/view