Level set method for solving Poisson's equation with discontinuous nonlinearities
| dc.contributor.author | Kolibal, Joseph | |
| dc.date.accessioned | 2021-07-13T17:33:08Z | |
| dc.date.available | 2021-07-13T17:33:08Z | |
| dc.date.issued | 2005-11-25 | |
| dc.description.abstract | We study semi-linear elliptic free boundary problems in which the forcing term is discontinuous; i.e., a Poisson's equation where the forcing term is the Heaviside function applied to the unknown minus a constant. This approach uses level sets to construct a monotonic sequence of iterates which converge to a class of solutions to the free boundary problem. The monotonicity of the construction based on nested sets provides insight into the connectivity of the free boundary sets associated with the solutions. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 12 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Kolibal, J. (2005). Level set method for solving Poisson's equation with discontinuous nonlinearities. <i>Electronic Journal of Differential Equations, 2005</i>(132), pp. 1-12. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13857 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2005, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Laplace equation | |
| dc.subject | Reduced wave equation (Helmholtz) | |
| dc.subject | Poisson equation | |
| dc.subject | Nonlinear elliptic PDE | |
| dc.title | Level set method for solving Poisson's equation with discontinuous nonlinearities | |
| dc.type | Article |