Coupled PDEs with Initial Solution from Data in COMSOL 4
| dc.contributor.author | Huang, X. | |
| dc.contributor.author | Khuvis, S. | |
| dc.contributor.author | Askarian, S. | |
| dc.contributor.author | Gobbert, Matthias | |
| dc.contributor.author | Peercy, B. E. | |
| dc.date.accessioned | 2018-10-01T13:55:07Z | |
| dc.date.available | 2018-10-01T13:55:07Z | |
| dc.date.issued | 2013 | |
| dc.description | COMSOL Conference 2013, Boston, MA, 2013 | en_US |
| dc.description.abstract | Many physical applications require the solution of a system of coupled partial differential equations (PDEs). In most cases the analytic PDE solution does not exist for this system and we need to solve the problem numerically using the finite element method in COMSOL. This paper presents information on techniques needed in COMSOL 4 to enable computational studies of coupled systems of PDEs for time-dependent nonlinear problems. Furthermore, we demonstrate how to use data files as input for initial conditions. To illustrate the techniques, we consider a system of two time-dependent non-linear PDEs from mathematical biology. | en_US |
| dc.description.sponsorship | The 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 nos. CNS–0821258 and CNS–1228778) 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. Co-author Huang also acknowledges financial support as HPCF RA. | en_US |
| dc.description.uri | https://userpages.umbc.edu/~gobbert/papers/CoupledPDEs_COMSOL2013.pdf | en_US |
| dc.format.extent | 6 pages | en_US |
| dc.genre | conference paper pre-print | en_US |
| dc.identifier | doi:10.13016/M2KW57N5M | |
| dc.identifier.citation | X. Huang, S. Khuvis, S. Askarian, M. K. Gobbert, B. E. Peercy, Coupled PDEs with Initial Solution from Data in COMSOL 4, Proceedings of the 2013 COMSOL Conference, 2013, https://www.comsol.com/paper/download/180789/gobbert_paper.pdf | en_US |
| dc.identifier.uri | http://hdl.handle.net/11603/11414 | |
| 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 | System of PDEs | en_US |
| dc.subject | Coupled PDEs | en_US |
| dc.subject | Reaction-diffusion equation | en_US |
| dc.subject | Initial condition | en_US |
| dc.subject | UMBC High Performance Computing Facility (HPCF) | en_US |
| dc.title | Coupled PDEs with Initial Solution from Data in COMSOL 4 | en_US |
| dc.type | Text | en_US |