Conducting Finite Element Convergence Studies Using COMSOL 4.0

Simple item page
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
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
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
dc.description.urihttps://www.comsol.com/paper/conducting-finite-element-convergence-studies-using-comsol-4-0-8054en
dc.format.extent6 pagesen
dc.genreconference papers and proceedingsen
dc.genrepresentations (communicative events)en
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
dc.identifier.urihttp://hdl.handle.net/11603/30060
dc.language.isoenen
dc.publisherCOMSOLen
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
dc.titleConducting Finite Element Convergence Studies Using COMSOL 4.0en
dc.typeTexten
dcterms.creatorhttps://orcid.org/0000-0003-1745-2292en

Files

Original bundle

Now showing 1 - 2 of 2
Thumbnail Image
Name:
gobbert_paper.pdf
Size:
261.2 KB
Format:
Adobe Portable Document Format
Description:
Download
Thumbnail Image
Name:
gobbert_presentation.pdf
Size:
379.03 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
2.56 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

UMBC Mathematics and Statistics Department
UMBC Faculty Collection
UMBC Student Collection