Optimal error estimates for nonstationary singularly perturbed problems for low discretization orders
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Date
2012
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Publisher
Technická univerzita v Liberci, Česká republika
Abstract
We consider an unsteady 1D singularly perturbed convection–diffusion problem. We discretize such a problem by the linear finite element method (FEM) on a Shishkin mesh and by a discon- tinuous Galerkin method in time. We present optimal a priori error estimates for low order time discretizations.
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Subject(s)
Convection–diffusion, Shishkin mesh, time discontinuous Galerkin method
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ISSN
1803-9782