Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
470270 | Computers & Mathematics with Applications | 2016 | 17 Pages |
Abstract
In this paper we analyze a discontinuous Galerkin finite element method for approximating solutions to transport equations with certain nonlinearities. We consider models for age-structured populations allowing for a nonlinear removal rate with non-local boundary conditions on the in-flow boundary. The method employs a stabilizing term over the interior edges allowing for convergence in a stronger than usual norm. We establish convergence rates for general higher order basis functions and provide numerical examples consistent with this result.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Joe Coyle, Nilima Nigam,