New Continuous Mass-lumped Finite Elements for 3D Wave Propagation

S. Geevers, Wim Mulder, J van der Vegt

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

2 Citations (Scopus)
33 Downloads (Pure)


Spectral elements with mass lumping allow for explicit time stepping and are therefore attractive for modelling seismic wave propagation. Their formulation on rectangular elements is straighforward, but for tetrahedra only elements up to degree 3 are known. To preserve accuracy after mass lumping, these elements require additional nodes that make them computationally more expensive. Here, we propose a new, less restrictive accuracy condition for the construction of these continuous mass-lumped elements. This enables us to construct several new tetrahedral elements. The new degree-2 and degree-3 elements require 15 and 32 nodes, while the existing ones have 23 and 50 nodes per element, respectively. We also developed degree-4 tetrahedral elements with 60, 61, or 65 nodes per element. Numerical examples confirm that the various mass-lumped elements maintain the optimal order of accuracy and show that the new elements are significantly more efficient in terms of accuracy versus compute time than the existing ones.
Original languageEnglish
Title of host publication80th EAGE Conference and Exhibition 2018, 11-14 June, Copenhagen, Denmark
Number of pages5
Publication statusPublished - 2018
Event80th EAGE Conference and Exhibition 2018: Opportunities presented by the energy transition - Copenhagen, Denmark
Duration: 11 Jun 201814 Jun 2018
Conference number: 80


Conference80th EAGE Conference and Exhibition 2018
Abbreviated titleEAGE 2018
Internet address


Dive into the research topics of 'New Continuous Mass-lumped Finite Elements for 3D Wave Propagation'. Together they form a unique fingerprint.

Cite this