We present a new accuracy condition for constructing mass-lumped elements. This condition is less restrictive than the one previously used and enabled us to construct new mass-lumped tetrahedral elements for 3D wave propagation modelling. The new degree-2 and degree-3 elements require significantly fewer nodes than previous versions and mass-lumped tetrahedral elements of higher degree had not been found before. We also present a new accuracy condition for evaluating the stiffness matrix-vector product. This enabled us to obtain tailored quadrature rules for the new elements that further reduce the computational cost.
Original languageEnglish
Number of pages2
Publication statusPublished - 2019
Event14th International Conference on Mathematical and Numerical Aspects of Wave Propagation - Vienna University of Technology (TU Wien), Vienna, Austria
Duration: 25 Aug 201930 Aug 2019
http://www.waves2019.at/

Conference

Conference14th International Conference on Mathematical and Numerical Aspects of Wave Propagation
Abbreviated titleWAVES 2019
CountryAustria
CityVienna
Period25/08/1930/08/19
Internet address

    Research areas

  • mass lumping, tetrahedral element, spectral element, wave equation

ID: 57038444