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A Posteriori Error Analysis for Linear Convection-Diffusion Problems Under Weak Mesh Regularity Assumptions

Abstract:

In this paper we consider the generalisation of standard a posteriori error estimates, derived for unsteady problems, to arbitrary space-time meshes. In particular, we derive an a posteriori error bound for the discontinuity capturing Lagrange-Galerkin method applied to an unsteady (linear) convection-diffusion problem, assuming only that the underlying mesh is non-degenerate. The proof of this error estimate will be based on strong stability estimates of an associated dual problem, together ...

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P. Houston More by this author
Endre Suli More by this author
Publication date:
1997-05-05
URN:
uuid:2e1c852a-3c9c-46db-9fa0-218e4400de32
Local pid:
oai:eprints.maths.ox.ac.uk:1320

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