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Erschienen in:
2003 | OriginalPaper | Buchkapitel
Methods for Computing Synthetic Seismograms and Estimating Their Computational Error
verfasst von : Robert J. Geller, Nozomu Takeuchi, Hiromitsu Mizutani, Nobuyasu Hirabayashi
Erschienen in: Mathematical and Numerical Aspects of Wave Propagation WAVES 2003
Verlag: Springer Berlin Heidelberg
Enthalten in: Professional Book Archive
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In order to infer the structure of the Earth’s interior and the source parameters of earthquakes, seismologists require the ability to make accurate calculations of the seismic wavefield by numerically solving the elastic equation of motion, which is a linear second order PDE. Although these calculations are straightforward in principle, the computational requirements are large because the the Earth’s interior is highly heterogeneous. Our group has derived a general criterion for optimally accurate numerical operators. This theory can also be used to estimate the accuracy of the numerical solutions before making any calculations, so that the coarsest possible grid that will meet the user’s accuracy requirements can be used.