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Geevers, S. (author), Mulder, W.A. (author), van der Vegt, J.J.W. (author)
We present new and efficient quadrature rules for computing the stiffness matrices of mass-lumped tetrahedral elements for wave propagation modeling. These quadrature rules allow for a more efficient implementation of the mass-lumped finite element method and can handle materials that are heterogeneous within the element without loss of the...
journal article 2019
document
Geevers, S. (author), Mulder, W.A. (author), van der Vegt, J. J.W. (author)
We analyse the dispersion properties of two types of explicit finite element methods for modelling acoustic and elastic wave propagation on tetrahedral meshes, namely mass-lumped finite element methods and symmetric interior penalty discontinuous Galerkin methods, both combined with a suitable Lax–Wendroff time integration scheme. The...
journal article 2018
document
Geevers, S. (author), Mulder, W.A. (author), van der Vegt, J. J.W. (author)
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...
journal article 2018
document
Geevers, S. (author), Mulder, W.A. (author), van der Vegt, J.J.W. (author)
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...
conference paper 2018
document
Geevers, Sjoerd (author), van der Vegt, Jaap (author), Mulder, W.A. (author)
We present and analyse a Symmetric Interior Penalty Discontinuous Galerkin (SIPDG) method combined with an explicit hybrid Local Time Stepping (LTS) scheme for solving seismic wave problems in heterogeneous anisotropic elastic media. The discontinuous Galerkin method allows for local adjustment of the mesh size and approximation order, and can...
abstract 2016
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