Print Email Facebook Twitter New higher-order mass-lumped tetrahedral elements for wave propagation modelling Title New higher-order mass-lumped tetrahedral elements for wave propagation modelling Author Geevers, S. (University of Twente) Mulder, W.A. (TU Delft Applied Geophysics and Petrophysics; Shell Global Solutions International B.V.) van der Vegt, J. J.W. (University of Twente) Date 2018 Abstract We present a new accuracy condition for the construction of continuous mass-lumped elements. This condition is less restrictive than the one currently used and enabled us to construct new mass-lumped tetrahedral elements of degrees 2 to 4. The new degree-2 and degree-3 tetrahedral elements require 15 and 32 nodes per element, respectively, while currently, these elements require 23 and 50 nodes, respectively. The new degree-4 elements require 60, 61, or 65 nodes per element. Tetrahedral elements of this degree had not been found until now. We prove that our accuracy condition results in a mass-lumped finite element method that converges with optimal order in the $L^2$-norm and energy-norm. A dispersion analysis and several numerical tests confirm that our elements maintain the optimal order of accuracy and show that the new mass-lumped tetrahedral elements are more efficient than the current ones. To reference this document use: http://resolver.tudelft.nl/uuid:6d3b11a8-e0de-402d-9020-547b57702eb3 DOI https://doi.org/10.1137/18M1175549 ISSN 1064-8275 Source SIAM Journal on Scientific Computing, 40 (5), A2830–A2857 Part of collection Institutional Repository Document type journal article Rights © 2018 S. Geevers, W.A. Mulder, J. J.W. van der Vegt Files PDF 18M1175549.pdf 1.38 MB Close viewer /islandora/object/uuid:6d3b11a8-e0de-402d-9020-547b57702eb3/datastream/OBJ/view