title: Discontinuous Galerkin method for piecewise regular solutions to the nonlinear age-structured population model.
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(h(r+1/2)) error estimate for rth order polynomial finite elements is proved, as well as piecewise H(1)-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.
authors.affiliation: Warsaw University, Institute of Applied Mathematics, Banacha 2, 02-097 Warszawa, Poland. przykry@mimuw.edu.pl
authors.forename: Piotr
authors.initials: P
authors.lastname: Krzyzanowski
authors.forename: Dariusz
authors.initials: D
authors.lastname: Wrzosek
authors.forename: Dominik
authors.initials: D
authors.lastname: Wit
mesh_terms: D000818:Animals; D003621:Daphnia / Q000254:growth & development; D020342:Finite Element Analysis; D005399:Fishes / Q000254:growth & development; D008954:Models, Biological; D009716:Numerical Analysis, Computer-Assisted; D011157:Population Dynamics; D011235:Predatory Behavior