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.
| Original language | English |
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| Number of pages | 2 |
| Publication status | Published - 2019 |
| Event | 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation - Vienna University of Technology (TU Wien), Vienna, Austria Duration: 25 Aug 2019 → 30 Aug 2019 http://www.waves2019.at/ |
Conference
| Conference | 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation |
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| Abbreviated title | WAVES 2019 |
| Country/Territory | Austria |
| City | Vienna |
| Period | 25/08/19 → 30/08/19 |
| Internet address |
Keywords
- mass lumping
- tetrahedral element
- spectral element
- wave equation