- Centre National de la Recherche ScientifiqueFR528 papers
- University of ViennaAT480 papers
- Vienna Center for Quantum Science and TechnologyAT328 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR275 papers
- European Organization for Nuclear ResearchCH263 papers
- Charles UniversityCZ245 papers
- ETH ZurichCH223 papers
- Institute of High Energy PhysicsCN223 papers
- Université Paris-SaclayFR219 papers
- CEA Paris-SaclayFR215 papers
- University of WarsawPL215 papers
- Massachusetts Institute of TechnologyUS209 papers
11 papers · 2 filters
Optimal complexity of goal-oriented adaptive FEM for nonsymmetric linear elliptic PDEs
Philipp Bringmann, Maximilian Brunner, Dirk Praetorius +1
We analyze a goal-oriented adaptive algorithm that aims to efficiently compute the quantity of interest with a linear goal functional and the solution to…
Optimally truncated WKB approximation for the highly oscillatory stationary 1D Schrödinger equation
Jannis Körner, Anton Arnold, Christian Klein +1
We discuss the numerical solution of initial value problems for in the highly oscillatory regime, i.e., with and . We an…
Structure preservation in high-order hybrid discretisations of potential-driven advection-diffusion: linear and nonlinear approaches
Simon Lemaire, Julien Moatti
We are interested in the high-order approximation of anisotropic, potential-driven advection-diffusion models on general polytopal partitions. We study two hybrid schemes, both bui…
Sparse grid approximation of nonlinear SPDEs: The Landau--Lifshitz--Gilbert equation
Xin An, Josef Dick, Michael Feischl +2
We show convergence rates for a sparse grid approximation of the distribution of solutions of the stochastic Landau-Lifshitz-Gilbert equation. Beyond being a frequently studied equ…
Error Analysis of an HDG Method with Impedance Traces for the Helmholtz Equation
Michael Leumüller, Joachim Schöberl
In this work, a novel analysis of a hybrid discontinuous Galerkin method for the Helmholtz equation is presented. It uses wavenumber, mesh size and polynomial degree independent st…
Stability Analysis for Electromagnetic Waveguides. Part 1: Acoustic and Homogeneous Electromagnetic Waveguides
Jens Markus Melenk, Leszek Demkowicz, Stefan Henneking
In a time-harmonic setting, we show for heterogeneous acoustic and homogeneous electromagnetic wavesguides stability estimates with the stability constant depending linearly on the…