New mass-lumped tetrahedral elements for 3D wave propagation modelling

Abstract (2019)

Authors

S. Geevers University of Twente
W.A. Mulder Shell, Applied Geophysics and Petrophysics - CEG
J van der Vegt University of Twente
Research Group
Applied Geophysics and Petrophysics (CEG) (TU Delft)
Copyright: © 2019 S. Geevers, W.A. Mulder, J van der Vegt
Wave equation Mass lumping Tetrahedral element Spectral element
More Info
expand_more

Published Date

2019

Language

English

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Civil Engineering & Geosciences

Department

Geoscience and Engineering

Research Group

Applied Geophysics and Petrophysics

Abstract

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.