Time discretisation of monotone nonlinear evolution problems by the discontinuous Galerkin method |
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Authors: | Etienne Emmrich |
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Institution: | 1.Fakult?t für Mathematik,Universit?t Bielefeld,Bielefeld,Germany |
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Abstract: | A class of discontinuous Galerkin methods is studied for the time discretisation of the initial-value problem for a nonlinear
first-order evolution equation that is governed by a monotone, coercive, and hemicontinuous operator. The numerical solution
is shown to converge towards the weak solution of the original problem. Furthermore, well-posedness of the time-discrete problem
as well as a priori error estimates for sufficiently smooth exact solutions are studied. |
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Keywords: | |
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