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Sparse finite element approximation of high-dimensional transport-dominated diffusion problems
- Abstract:
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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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Bibliographic Details
- Publication date:
- 2007-02-05
- URN:
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uuid:6e408464-8a47-4335-9199-1cb849899fbf
- Local pid:
- oai:eprints.maths.ox.ac.uk:1098
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- Copyright date:
- 2007
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