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Caccioppoli-type estimates and -Matrix approximations to inverses for FEM-BEM couplings
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
We consider three different methods for the coupling of the finite element method and the boundary element method, the Bielak-MacCamy coupling, the symmetric coupling, and the John…
Approximating inverse FEM matrices on non-uniform meshes with -matrices
Niklas Angleitner, Markus Faustmann, Jens Markus Melenk
We consider the approximation of the inverse of the finite element stiffness matrix in the data sparse -matrix format. For a large class of shape regular but possibly…
Local convergence of the FEM for the integral fractional Laplacian
Markus Faustmann, Michael Karkulik, Jens Markus Melenk
We provide for first order discretizations of the integral fractional Laplacian sharp local error estimates on proper subdomains in both the local -norm and the localized ener…