Fast implementation of mixed RT0 finite elements in MATLAB

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dc.contributor.advisorBedrich Sousedık
dc.contributor.authorWeinberg, Theodore
dc.date.accessioned2019-10-23T15:05:54Z
dc.date.available2019-10-23T15:05:54Z
dc.description.abstractWe develop a fast implementation of the mixed finite element method for the Darcy’s problem discretized by lowest-order Raviart-Thomas finite elements using Matlab. The implementation is based on the so-called vectorized approach applied to the computation of the finite element matrices and assembly of the global finite element matrix. The code supports both 2D and 3D domains, and the finite elements can be triangular, rectangular, tetrahedral or hexahedral. The code can also be easily modified to import user-provided meshes. We comment on our freely available code and present a performance comparison with the standard approach.en_US
dc.description.sponsorshipThis work was supported by the U.S. National Science Foundation under grant DMS1521563 and by an Undergraduate Research Award from the UMBC Office of Undergraduate Education.en_US
dc.description.urihttps://www.siam.org/Portals/0/Publications/SIURO/Vol12/S01743.pdfen_US
dc.format.extent11 pagesen_US
dc.genreundergraduate research journalen_US
dc.identifierdoi:10.13016/m2iazp-do3a
dc.identifier.citationTheodore Weinberg; Fast implementation of mixed RT0 finite elements in MATLAB; SIAM Undergraduate Research Online (SIURO), vol. 12; https://www.siam.org/Portals/0/Publications/SIURO/Vol12/S01743.pdf;en_US
dc.identifier.urihttp://hdl.handle.net/11603/15961
dc.language.isoen_USen_US
dc.publisherSociety for Industrial and Applied Mathmatics
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Mathematics Department Collection
dc.relation.ispartofUMBC Student Collection
dc.relation.ispartofUMBC Faculty 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.
dc.subjectimplementationen_US
dc.subjectfinite elementen_US
dc.subjectuser-provided meshesen_US
dc.titleFast implementation of mixed RT0 finite elements in MATLABen_US
dc.typeTexten_US

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