97 citations · 734 across the 50 of their papers we have counts for
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math.NA2016★ 12 cited
Robust exponential convergence of hp-FEM in balanced norms for singularly perturbed reaction-diffusion problems: corner domains
Jens Markus Melenk, Markus Faustmann
The hp-version of the finite element method is applied to singularly perturbed reaction-diffusion type equations on polygonal domains. The solution exhibits boundary layers as well…
math.NA2016★ 17 cited
Runge-Kutta convolution quadrature and FEM-BEM coupling for the time dependent linear Schrödinger equation
Jens Markus Melenk, Alexander Rieder
We propose a numerical scheme to solve the time dependent linear Schrödinger equation. The discretization is carried out by combining a Runge-Kutta time-stepping scheme with a fini…
math.NA2016★ 8 cited
An -Adaptive Newton-Galerkin Finite Element Procedure for Semilinear Boundary Value Problems
Mario Amrein, Jens M. Melenk, Thomas P. Wihler
In this paper we develop an -adaptive procedure for the numerical solution of general, semilinear elliptic boundary value problems in 1d, with possible singular perturbations.…