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Difference methods with boundary and interface treatment for wave equations
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Division of Scientific Computing. Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology, Numerical Analysis.
2013 (English)Licentiate thesis, comprehensive summary (Other academic)
Abstract [en]

Wave motion in acoustic and elastic media is highly influenced by the presence of outer boundaries and media interfaces. The solutions to the equations governing the wave motion at any point in the domain as a function of time can be sought either through analytical or numerical techniques.

This thesis proposes provably stable finite difference schemes to accurately investigate wave interaction with boundaries and interfaces. Schemes for the acoustic wave equation in three spatial coordinates, general domains and heterogeneous media and the elastic wave equation in two spatial dimensions and layered media are presented. A study of the Rayleigh surface wave in almost incompressible media is carried through. Extensive numerical experiments designed to verify stability and accuracy as well as applicability to nontrivial boundary and interface phenomena are given.

Place, publisher, year, edition, pages
Uppsala University, 2013.
Series
Information technology licentiate theses: Licentiate theses from the Department of Information Technology, ISSN 1404-5117 ; 2013-006
National Category
Computational Mathematics
Research subject
Scientific Computing
Identifiers
URN: urn:nbn:se:uu:diva-209139OAI: oai:DiVA.org:uu-209139DiVA: diva2:656078
Supervisors
Available from: 2013-10-22 Created: 2013-10-14 Last updated: 2017-08-31Bibliographically approved
List of papers
1. Acoustic wave propagation in complicated geometries and heterogeneous media
Open this publication in new window or tab >>Acoustic wave propagation in complicated geometries and heterogeneous media
2014 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 61, 90-118 p.Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-217300 (URN)10.1007/s10915-014-9817-1 (DOI)000341627100005 ()
Available from: 2014-01-29 Created: 2014-01-31 Last updated: 2017-12-06Bibliographically approved
2. Surface waves in almost incompressible elastic materials
Open this publication in new window or tab >>Surface waves in almost incompressible elastic materials
2013 (English)In: Proc. 11th International Conference on Mathematical and Numerical Aspects of Waves, Tunisia: ENIT , 2013, 375-376 p.Conference paper, Published paper (Other academic)
Place, publisher, year, edition, pages
Tunisia: ENIT, 2013
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-207279 (URN)
Conference
WAVES 2013
Available from: 2013-06-07 Created: 2013-09-11 Last updated: 2014-06-16Bibliographically approved
3. Stable and high order accurate difference methods for the elastic wave equation in discontinuous media
Open this publication in new window or tab >>Stable and high order accurate difference methods for the elastic wave equation in discontinuous media
2014 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 279, 37-62 p.Article in journal (Refereed) Published
National Category
Computational Mathematics
Identifiers
urn:nbn:se:uu:diva-226424 (URN)10.1016/j.jcp.2014.08.046 (DOI)000342750100003 ()
Available from: 2014-09-06 Created: 2014-06-16 Last updated: 2017-12-05Bibliographically approved

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CiteExportLink to record
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Citation style
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Output format
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