Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4501168 | Mathematical Biosciences | 2006 | 24 Pages |
Abstract
A discontinuous Galerkin approximation of the nonlinear Lotka–McKendrick equation is considered in the frequent case when the solution is only piecewise regular. An O(hr+1/2)O(hr+1/2) error estimate for rth order polynomial finite elements is proved, as well as piecewise H1-regularity of the exact solution which guarantees the error estimate for r = 0. Certain implementational details which improve the robustness of the method are also addressed.
Related Topics
Life Sciences
Agricultural and Biological Sciences
Agricultural and Biological Sciences (General)
Authors
Piotr Krzyżanowski, Dariusz Wrzosek, Dominik Wit,