Speeding up a mass-lumped tetrahedral finite-element method for wave propagation

Wim Mulder, S. Geevers, J. van der Vegt

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

1 Citation (Scopus)
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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.
Original languageEnglish
Title of host publication81st EAGE Conference and Exhibition 2019
Subtitle of host publication3-6 June 2019, London, UK
Number of pages5
ISBN (Electronic)9789462822894
Publication statusPublished - 2019
Event81st EAGE Conference and Exhibition 2019 - ExCeL Centre, London, United Kingdom
Duration: 3 Jun 20196 Jun 2019


Conference81st EAGE Conference and Exhibition 2019
Country/TerritoryUnited Kingdom
Internet address

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