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### Sparse finite element approximation of high-dimensional transport-dominated diffusion problems

Abstract:

Partial differential equations with nonnegative characteristic form arise in numerous mathematical models in science. In problems of this kind, the exponential growth of computational complexity as a function of the dimension d of the problem domain, the so-called curse of dimension'', is exacerbated by the fact that the problem may be transport-dominated. We develop the numerical analysis of stabilized sparse tensor-product finite element methods for such high-dimensional, non-self-adjoint...

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### Authors

Publisher:
Unspecified
Publication date:
2007-02-01
UUID:
uuid:6e408464-8a47-4335-9199-1cb849899fbf
Local pid:
oai:eprints.maths.ox.ac.uk:1098
Deposit date:
2011-05-20