Conducting Finite Element Convergence Studies Using COMSOL 4.0

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dc.contributor.authorTrott, David W.
dc.contributor.authorGobbert, Matthias
dc.date.accessioned2023-10-10T18:37:48Z
dc.date.available2023-10-10T18:37:48Z
dc.date.issued2010
dc.descriptionProceedings of the COMSOL Conference 2010 Bostonen_US
dc.description.abstractIn order to gauge how reasonable a finite element solution to a partial differential equation is on a given mesh, a common strategy is to refine the mesh, compute the solution on the finer mesh, and use the solutions on the two meshes for a qualitative comparison. The theory of the finite element method (FEM) makes these comparisons quantitative by estimating the convergence order of the FEM error on a sequence of progressively finer meshes. We will show how to carry out convergence studies of this type in the graphical user interface of COMSOL 4.0 on the example of Lagrange elements of varying polynomial degrees, which will also bring out the benefit of using higher order elements.en_US
dc.description.sponsorshipThe hardware used in the computational studies is part of the UMBC High Performance Computing Facility (HPCF). The facility is supported by the U.S. National Science Foundation through the MRI program (grant no. CNS–0821258) and the SCREMS program (grant no. DMS–0821311), with additional substantial support from the University of Maryland, Baltimore County (UMBC). See www.umbc.edu/hpcf for more information on HPCF and the projects using its resources.en_US
dc.description.urihttps://www.comsol.com/paper/conducting-finite-element-convergence-studies-using-comsol-4-0-8054en_US
dc.format.extent6 pagesen_US
dc.genreconference papers and proceedingsen_US
dc.genrepresentations (communicative events)en_US
dc.identifierdoi:10.13016/m2tqiw-q3ni
dc.identifier.citationTrott, David W. & Matthias K. Gobbert. “Conducting Finite Element Convergence Studies Using COMSOL 4.0.” In Proceedings of the COMSOL Conference 2010 Boston (2010). https://www.comsol.com/paper/conducting-finite-element-convergence-studies-using-comsol-4-0-8054.en_US
dc.identifier.urihttp://hdl.handle.net/11603/30060
dc.language.isoen_USen_US
dc.publisherCOMSOLen_US
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Student Collection
dc.rightsThis item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.en_US
dc.titleConducting Finite Element Convergence Studies Using COMSOL 4.0en_US
dc.typeTexten_US
dcterms.creatorhttps://orcid.org/0000-0003-1745-2292en_US

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