Finite Element Convergence for Time-Dependent PDEs with a Point Source in COMSOL 4.2
| dc.contributor.author | Trott, David W. | |
| dc.contributor.author | Gobbert, Matthias K. | |
| dc.date.accessioned | 2018-10-24T17:26:24Z | |
| dc.date.available | 2018-10-24T17:26:24Z | |
| dc.date.issued | 2011 | |
| dc.description | COMSOL Conference 2011, Boston, MA, 2011. | en_US |
| dc.description.abstract | The FEM theory provides the basis for quantification on the accuracy and reliability of a numerical solution by the a priori error estimates on the FEM error vs. the mesh spacing of the FEM mesh. This paper presents information on the techniques needed in COMSOL 4.2 to enable computational studies that demonstrate this theory for time-dependent problems, in extension of previous work on stationary problems. These techniques can be used in many general settings, including when the analytic PDE solution is not known. | en_US |
| dc.description.sponsorship | 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. Co-author Trott also acknowledges financial support as HPCF RA. | en_US |
| dc.description.uri | https://userpages.umbc.edu/~gobbert/papers/TrottGobbertCOMSOL2011.pdf | en_US |
| dc.format.extent | 6 pages | en_US |
| dc.genre | conference paper pre-print | en_US |
| dc.identifier | doi:10.13016/M2VQ2SF2Q | |
| dc.identifier.uri | http://hdl.handle.net/11603/11666 | |
| dc.language.iso | en_US | en_US |
| dc.relation.isAvailableAt | The University of Maryland, Baltimore County (UMBC) | |
| dc.relation.ispartof | UMBC Mathematics Department Collection | |
| dc.relation.ispartof | UMBC Faculty Collection | |
| dc.rights | This 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.subject | Heat equation | en_US |
| dc.subject | a priori error estimate | en_US |
| dc.subject | convergence study | en_US |
| dc.subject | mesh refinement | en_US |
| dc.subject | UMBC High Performance Computing Facility (HPCF) | en_US |
| dc.title | Finite Element Convergence for Time-Dependent PDEs with a Point Source in COMSOL 4.2 | en_US |
| dc.type | Text | en_US |