BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Localized Spectral Decomposition (LSD): a robust and efficient finite element method for solving elliptic PDEs Madureira, Alexandre


The Localized Spectral Decomposition finite element method is based on a hybrid formulation of elliptic partial differential equations, that is then transformed via several space decompositions. Such decompositions make the fomulation embarrassingly parallel and efficient, in particular in the presence of multiscale coefficients. It differs from most of the methods out there since it requires solution's minimum regularity. Also, it is robust with respect to high contrast coefficients.

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