- 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
16 papers · 2 filters
Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain
Lidia Aceto, Cecilia Magherini, Ewa B. Weinmüller
In this paper, we discuss numerical approximation of the eigenvalues of the one-dimensional radial Schrödinger equation posed on a semi-infinite interval. The original problem is f…
Perfectly Matched Layers versus discrete transparent boundary conditions in quantum device simulations
Jan-Frederik Mennemann, Ansgar Jüngel
Discrete transparent boundary conditions (DTBC) and the Perfectly Matched Layers (PML) method for the realization of open boundary conditions in quantum device simulations are comp…
Axioms of Adaptivity
Carsten Carstensen, Michael Feischl, Marcus Page +1
This paper aims first at a simultaneous axiomatic presentation of the proof of optimal convergence rates for adaptive finite element methods and second at some refinements of parti…
Entropy dissipative one-leg multistep time approximations of nonlinear diffusive equations
Ansgar Jüngel, Josipa-Pina Milišić
New one-leg multistep time discretizations of nonlinear evolution equations are investigated. The main features of the scheme are the preservation of the nonnegativity and the entr…
Optimal preconditioning for the symmetric and non-symmetric coupling of adaptive finite elements and boundary elements
Michael Feischl, Thomas Führer, Dirk Praetorius +1
We analyze a multilevel diagonal additive Schwarz preconditioner for the adaptive coupling of FEM and BEM for a linear 2D Laplace transmission problem. We rigorously prove that the…
Existence of -matrix approximants to the inverses of BEM matrices: the simple-layer operator
Markus Faustmann, Jens Markus Melenk, Dirk Praetorius
We consider the question of approximating the inverse of the Galerkin stiffness matrix obtained by discretizing the simple-layer operator $…