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Mulder, W.A. (author), Zhebel, E. (author), Minisini, S. (author)
We analyse the time-stepping stability for the 3-D acoustic wave equation, discretized on tetrahedral meshes. Two types of methods are considered: mass-lumped continuous finite elements and the symmetric interior-penalty discontinuous Galerkin method. Combining the spatial discretization with the leap-frog time-stepping scheme, which is second...
journal article 2013
document
Zhebel, E. (author), Minisini, S. (author), Kononov, A. (author), Mulder, W.A. (author)
With the rapid developments in parallel compute architectures, algorithms for seismic modeling and imaging need to be reconsidered in terms of parallelization. The aim of this paper is to compare scalability of seismic modeling algorithms: finite differences, continuous mass-lumped finite elements and discontinuous Galerkin finite elements. The...
journal article 2013
document
Minisini, S. (author), Zhebel, E. (author), Kononov, A. (author), Mulder, W.A. (author)
Modeling and imaging techniques for geophysics are extremely demanding in terms of computational resources. Seismic data attempt to resolve smaller scales and deeper targets in increasingly more complex geologic settings. Finite elements enable accurate simulation of time-dependent wave propagation in heterogeneous media. They are more costly...
journal article 2013
document
Zhebel, E. (author), Minisini, S. (author), Kononov, A. (author), Mulder, W.A. (author)
The finite-difference method is widely used for time-domain modelling of the wave equation because of its ease of implementation of high-order spatial discretization schemes, parallelization and computational efficiency. However, finite elements on tetrahedral meshes are more accurate in complex geometries near sharp interfaces. We compared the...
conference paper 2012
document
Zhebel, E. (author), Minisini, S. (author), Mulder, W.A. (author)
We solve the three-dimensional acoustic wave equation, discretized on tetrahedral meshes. Two methods are considered: mass-lumped continuous finite elements and the symmetric interior-penalty discontinuous Galerkin method (SIP-DG). Combining the spatial discretization with the leap-frog time-stepping scheme, which is second-order accurate and...
conference paper 2012
document
Minisini, S. (author), Mulder, W.A. (author), Zhebel, E. (author), Kononov, A. (author)
Abstract only.
conference paper 2012
document
Kononov, A. (author), Minisini, S. (author), Zhebel, E. (author), Mulder, W.A. (author)
Finite-element modelling of seismic wave propagation on tetrahedra requires meshes that accurately follow interfaces between impedance contrasts or surface topography and have element sizes proportional to the local velocity. We explain a mesh generation approach by example. Starting from a finite-difference representation of the velocity model,...
conference paper 2012
document
Minisini, S. (author), Zhebel, E. (author), Kononov, A. (author), Mulder, W.A. (author)
The spreading adoption of computationally intensive techniques such as Reverse Time Migration and Full Waveform Inversion increases the need of efficiently solving the three-dimensional wave equation. Common finite-difference discretization schemes lose their accuracy and efficiency in complex geological settings with discontinuities in the...
conference paper 2012
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