Speeding up a Mass-Lumped Tetrahedral Finite-Element Method for Wave Propagation

W.A. Mulder, Sjoerd Geevers, Jacobus J.W. van der Vegt

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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 publication 81st EAGE Conference and Exhibition 2019
    Place of PublicationLondon
    PublisherEuropean Association of Engineers and Geoscientists (EAGE)
    Number of pages5
    ISBN (Electronic)9789462822894
    Publication statusPublished - 3 Jun 2019
    Event81st EAGE Conference & Exhibition 2019 - ExCeL Centre, London, United Kingdom
    Duration: 3 Jun 20196 Jun 2019
    Conference number: 81


    Conference81st EAGE Conference & Exhibition 2019
    Abbreviated titleEAGE annual 2019
    Country/TerritoryUnited Kingdom
    Internet address


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