Finite element algorithms for transport-diffusion problems: stability, adaptivity, tractability

@inproceedings{Sli2006FiniteEA,
  title={Finite element algorithms for transport-diffusion problems: stability, adaptivity, tractability},
  author={Endre S{\"u}li},
  year={2006}
}
Partial differential equations with nonnegative characteristic form arise in numerous mathematical models of physical phenomena: stochastic analysis, in particular, is a fertile source of equations of this kind. We survey recent developments concerning the finite element approximation of these equations, focusing on three relevant aspects: (a) stability and stabilisation; (b) hp-adaptive algorithms driven by residual-based a posteriori error bounds, capable of automatic variation of the… 

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