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12 papers · 2 filters
A weighted reduced basis method for parabolic PDEs with random data
Christopher Spannring, Sebastian Ullmann, Jens Lang
This work considers a weighted POD-greedy method to estimate statistical outputs parabolic PDE problems with parametrized random data. The key idea of weighted reduced basis method…
A Bramble-Pasciak conjugate gradient method for discrete Stokes problems with lognormal random viscosity
Christopher Müller, Sebastian Ullmann, Jens Lang
We study linear systems of equations arising from a stochastic Galerkin finite element discretization of saddle point problems with random data and its iterative solution. We consi…
Extrapolation-Based Super-Convergent Implicit-Explicit Peer Methods with A-stable Implicit Part
Moritz Schneider, Jens Lang, Willem Hundsdorfer
In this paper, we extend the implicit-explicit (IMEX) methods of Peer type recently developed in [Lang, Hundsdorfer, J. Comp. Phys., 337:203--215, 2017] to a broader class of two-s…
Adaptive vertex-centered finite volume methods for general second-order linear elliptic PDEs
Christoph Erath, Dirk Praetorius
We prove optimal convergence rates for the discretization of a general second-order linear elliptic PDE with an adaptive vertex-centered finite volume scheme. While our prior work…
Isogeometric Analysis and Harmonic Stator-Rotor Coupling for Simulating Electric Machines
Zeger Bontinck, Jacopo Corno, Sebastian Schöps +1
This work proposes Isogeometric Analysis as an alternative to classical finite elements for simulating electric machines. Through the spline-based Isogeometric discretization it is…
A posteriori error analysis for random scalar conservation laws using the Stochastic Galerkin method
Jan Giesselmann, Fabian Meyer, Christian Rohde
In this article we present an a posteriori error estimator for the spatial-stochastic error of a Galerkin-type discretisation of an initial value problem for a random hyperbolic co…