Higher-Order Splitting Method for Elastic Wave Propagation | Zendy

Jürgen Geiser | Zendy

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Higher-Order Splitting Method for Elastic Wave Propagation

Author(s) -

Jürgen Geiser

Publication year - 2008

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2008/291968

Subject(s) - mathematics , forcing (mathematics) , scheme (mathematics) , convergence (economics) , stability (learning theory) , consistency (knowledge bases) , order (exchange) , mathematical analysis , wave equation , geometry , computer science , finance , machine learning , economics , economic growth

Motivated by seismological problems, we have studied a fourth-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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