- 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
13 papers · 2 filters
Galerkin Methods for Boltzmann-Poisson transport with reflection conditions on rough boundaries
Jose A. Morales Escalante, Irene M. Gamba
We consider in this paper the mathematical and numerical modelling of reflective boundary conditions (BC) associated to Boltzmann - Poisson systems, including diffusive reflection…
Optimal convergence for adaptive IGA boundary element methods for weakly-singular integral equations
Michael Feischl, Gregor Gantner, Alexander Haberl +1
In a recent work, we analyzed a weighted-residual error estimator for isogeometric boundary element methods in 2D and proposed an adaptive algorithm which steers the local mesh-ref…
Approximation of the high-frequency Helmholtz kernel by nested directional interpolation
Steffen Börm, Jens Markus Melenk
We present and analyze an approximation scheme for a class of highly oscillatory kernel functions, taking the 2D and 3D Helmholtz kernels as examples. The scheme is based on polyno…
A higher-order gradient flow scheme for a singular one-dimensional diffusion equation
Bertram Düring, Philipp Fuchs, Ansgar Jüngel
A nonlinear diffusion equation, interpreted as a Wasserstein gradient flow, is numerically solved in one space dimension using a higher-order minimizing movement scheme based on th…
Adaptive vertex-centered finite volume methods with convergence rates
Christoph Erath, Dirk Praetorius
We consider the vertex-centered finite volume method with first-order conforming ansatz functions. The adaptive mesh-refinement is driven by the local contributions of the weighted…
High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows
Christoph Lehrenfeld, Joachim Schöberl
In this paper we present an efficient discretization method for the solution of the unsteady incompressible Navier-Stokes equations based on a high order (Hybrid) Discontinuous Gal…