97 citations · 734 across the 50 of their papers we have counts for
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On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion
Markus Faustmann, Jens Markus Melenk, Maryam Parvizi
We provide an endpoint stability result for Scott-Zhang type operators in Besov spaces. For globally continuous piecewise polynomials these are bounded from into $B^{3/2}…
On superconvergence of Runge-Kutta convolution quadrature for the wave equation
Jens Markus Melenk, Alexander Rieder
The semidiscretization of a sound soft scattering problem modelled by the wave equation is analyzed. The spatial treatment is done by integral equation methods. Two temporal discre…
Wave number-Explicit Analysis for Galerkin Discretizations of Lossy Helmholtz Problems
Jens M. Melenk, Stefan A. Sauter, Céline Torres
We present a stability and convergence theory for the lossy Helmholtz equation and its Galerkin discretization. The boundary conditions are of Robin type. All estimates are explici…
Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
For the discretization of the integral fractional Laplacian , , based on piecewise linear functions, we present and analyze a reliable weighted residual a poster…