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A stable and accurate hybrid FE-FD method
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Information Technology.
2019 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

We develop a hybrid method to couple finite difference methods and finite element methods in a nonconforming multiblock fashion. The aim is to optimize computational efficiency when complex geometries present. The proposed coupling technique requires minimal changes in the existing schemes while maintaining strict stability, accuracy, and conservation. Analysis and computational results are shown for a linear problem (to the advection-diffusion equation) and a nonlinear problem (to the viscous Burger's equation) in two spatial dimensions

Place, publisher, year, edition, pages
2019. , p. 39
Series
IT ; 19051
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:uu:diva-396844OAI: oai:DiVA.org:uu-396844DiVA, id: diva2:1369290
Educational program
Master Programme in Computational Science
Supervisors
Examiners
Available from: 2019-11-11 Created: 2019-11-11 Last updated: 2019-11-11Bibliographically approved

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CiteExportLink to record
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  • apa
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