ICOSAHOM '89 Proceedings of the conference on Spectral and high order methods for partial differential equations
A modified Chebyshev pseudospectral method with an O(N–1) time step restriction
Journal of Computational Physics
Spectral element method for acoustic wave simulation in heterogeneous media
Finite Elements in Analysis and Design - Special issue: selection of papers presented at ICOSAHOM'92
Journal of Computational Physics
The spectral element method for the shallow water equations on the sphere
Journal of Computational Physics
A Fourier-spectral element algorithm for thermal convection in rotating axisymmetric containers
Journal of Computational Physics
Overlapping Schwarz and Spectral Element Methods for Linear Elasticity and Elastic Waves
Journal of Scientific Computing
Journal of Computational Physics
High Performance Computing for Computational Science - VECPAR 2008
Modelling thermal convection with large viscosity gradients in one block of the 'cubed sphere'
Journal of Computational Physics
Time-harmonic solution for acousto-elastic interaction with controllability and spectral elements
Journal of Computational and Applied Mathematics
High-order finite-element seismic wave propagation modeling with MPI on a large GPU cluster
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.48 |
We present a spectral element approach for modeling elastic wave propagation in a solid-fluid sphere where the local effects of gravity are taken into account. The equations are discretized in terms of the displacement in the solid and the velocity potential in a neutrally stratified fluid. The spatial approximation is based upon a spherical mesh of hexahedra in which local refinement allows for adapting the discretization to the variation of elastic parameters in both the solid and the fluid regions. Continuity constraints across the non-conforming interfaces are introduced through Lagrange multipliers which are further discretized by the mortar element method. Due to the spherical nature of the non-conforming interfaces the mortar method turns out to be functionally conforming and allows for an equal-order interpolation of the primal variables and the Lagrange multipliers. The method is shown to provide an accurate solution when compared to analytical calculations obtained for radial models of elastic parameters. Its parallel implementation is based upon a simple domain decomposition strategy which makes it efficient to solve large problems as those imposed by planetary scales.