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RESEARCH PRODUCT
On the Accuracy and Efficiency of Transient Spectral Element Models for Seismic Wave Problems
Sanna Mönköläsubject
Mathematical optimizationDiscretizationArticle Subjectseismic wavesQC1-999Spectral element methodGeneral Physics and Astronomy010103 numerical & computational mathematics010502 geochemistry & geophysics01 natural sciencesSeismic wavetransient spectral element models0101 mathematics0105 earth and related environmental sciencesMathematicsta113ta114Computer simulationSynthetic seismogramApplied MathematicsPhysicsta111Mathematical analysisAcoustic waveWave equationseismic wave problemsTransient (oscillation)description
This study concentrates on transient multiphysical wave problems for simulating seismic waves. The presented models cover the coupling between elastic wave equations in solid structures and acoustic wave equations in fluids. We focus especially on the accuracy and efficiency of the numerical solution based on higher-order discretizations. The spatial discretization is performed by the spectral element method. For time discretization we compare three different schemes. The efficiency of the higher-order time discretization schemes depends on several factors which we discuss by presenting numerical experiments with the fourth-order Runge-Kutta and the fourth-order Adams-Bashforth time-stepping. We generate a synthetic seismogram and demonstrate its function by a numerical simulation.
year | journal | country | edition | language |
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2016-01-01 | Advances in Mathematical Physics |