Partial Differential Equations Operator-Splitting Methods Seismology Singular Sources Consistency Analysis A Fourth Order Split Scheme for Elastic Wave Propagation. Juergen Geiser Geiser Juergen Stefan Nilsson Nilsson Stefan Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 16 pp.

A Fourth Order Split Scheme for Elastic Wave Propagation.

Juergen Geiser , Stefan Nilsson

Preprint series: Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 16 pp.

MSC 2000

74S10 Finite volume methods

Abstract
Motivated by seismological problems we have studied a 4th order split scheme for the elastic wave equation. We split in the spatial directions and obtain locally one-dimensional systems to be solved. We have analyzed the new scheme and obtained results showing consistency and stability. We have used the split scheme to solve problems in two and three dimensions. We have also looked at the influence of singular forcing terms on the convergence properties of the scheme.

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