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Efficient quadrature rules for computing the stiffness matrices of mass-lumped tetrahedral elements for linear wave problems
S. Geevers, W. A. Mulder, J. J. W. van der Vegt
We present new and efficient quadrature rules for computing the stiffness matrices of mass-lumped tetrahedral elements for wave propagation modelling. These quadrature rules allow…
New Higher-Order Mass-Lumped Tetrahedral Elements for Wave Propagation Modelling
S. Geevers, W. A. Mulder, J. J. W. van der Vegt
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 constr…
Dispersion Properties of Explicit Finite Element Methods for Wave Propagation Modelling on Tetrahedral Meshes
S. Geevers, W. A. Mulder, J. J. W. van der Vegt
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 f…