Discontinuous Galerkin Methods for a Model of Population Dynamics with Unbounded Mortality

Authors:
Mi-Young Kim
Affiliations:
-
Venue:
SIAM Journal on Scientific Computing
Year:
2005

Citing 0
Cited 2

Age-time continuous Galerkin methods for a model of population dynamics

Journal of Computational and Applied Mathematics
Coupling discontinuous Galerkin discretizations using mortar finite elements for advection-diffusion-reaction problems

Computers & Mathematics with Applications

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Abstract

Discontinuous Galerkin finite element methods in age-time domain are proposed to approximate a possibly nonsmooth solution to the model of population dynamics with unbounded mortality (coefficient) function. The strong stability is established and a priori $L^2$ error estimates are obtained. We show that the error estimates are optimal both in rate and in regularity away from the maximum age. Nonnegativity of the solution is also shown. The scheme is explicit and the solution is computed strip by strip marching in time. Several numerical examples are presented.