6 citations · 6 across the 2 of their papers we have counts for
5 papers
Wavenumber-explicit stability and convergence analysis of hp finite element discretizations of Helmholtz problems in piecewise smooth media
M. Bernkopf, T. Chaumont-Frelet, J. M. Melenk
We present a wavenumber-explicit convergence analysis of the hp finite element method applied to a class of heterogeneous Helmholtz problems with piecewise analytic coefficients at…
Optimal convergence rates in for a first order system least squares finite element method. Part I: homogeneous boundary conditions
Maximilian Bernkopf, Jens Markus Melenk
We analyze a divergence based first order system least squares method applied to a second order elliptic model problem with homogeneous boundary conditions. We prove optimal conver…
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…
On thin plate spline interpolation
M. Loehndorf, J. M. Melenk
We present a simple, PDE-based proof of the result [M. Johnson, 2001] that the error estimates of [J. Duchon, 1978] for thin plate spline interpolation can be improved by …