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Finite element approximation of high-dimensional transport-dominated diffusion problems

Abstract:

High-dimensional partial differential equations with nonnegative characteristic form arise in numerous mathematical models in science. In problems of this kind, the computational challenge of beating the exponential growth of complexity as a function of dimension is exacerbated by the fact that the problem may be transport-dominated. We develop the analysis of stabilised sparse finite element methods for such high-dimensional, non-self-adjoint and possibly degenerate partial differential equa...

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Endre Suli More by this author
Publication date:
2005-09-05
URN:
uuid:ba167f75-bf4f-4735-b369-d6878b77986b
Local pid:
oai:eprints.maths.ox.ac.uk:1134

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