A posteriori error estimation for discontinuous Galerkin methods on general meshes and adaptivity

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• Andrea Cangiani (University of Nottingham)
• Tuesday 22 October 2019, 09:55-10:40
• Seminar Room 1, Newton Institute.

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GCS - Geometry, compatibility and structure preservation in computational differential equations

The application and a priori error analysis of discontinuous Galerkin (dG) methods for general classes of PDEs under general mesh assumptions is by now well developed. dG methods naturally permits local mesh and order adaptivity. However, deriving robust error estimators allowing for curved/degenerating mesh interfaces as well as developing adaptive algorithms able to exploit such flexibility is non-trivial. In this talk we present recent work on a posteriori error estimates for dG methods of interior penalty type which hold on general mesh settings, including elements with degenerating and curved boundaries. The exploitation of general meshes within mesh adaptation algorithms applied to a few challenging problems will also be discussed.

This talk is part of the Isaac Newton Institute Seminar Series series.

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