Analysis of the Finite Element Method for Transmission/mixed Boundary Value Problems on General Polygonal Domains

Abstract

We study theoretical and practical issues arising in the implementation of the Finite Element Method for a strongly elliptic second order equation with jump discontinuities in its coefficients on a polygonal domain Ω that may have cracks or vertices that touch the boundary. We consider in particular the equation − div(A∇u) = f ∈ H(Ω) with mixed boundary… (More)

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