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21 papers · 2 filters
On the stability of DPG formulations of transport equations
D. Broersen, W. Dahmen, R. P. Stevenson
In this paper we formulate and analyze a Discontinuous Petrov Galerkin formulation of linear transport equations with variable convection fields. We show that a corresponding {\em…
C1-continuous space-time discretization based on Hamilton's law of varying action
Janine C. Mergel, Roger A. Sauer, Sina Ober-Blöbaum
We develop a class of C1-continuous time integration methods that are applicable to conservative problems in elastodynamics. These methods are based on Hamilton's law of varying ac…
Conjugate gradient acceleration of iteratively re-weighted least squares methods
Massimo Fornasier, Steffen Peter, Holger Rauhut +1
Iteratively Re-weighted Least Squares (IRLS) is a method for solving minimization problems involving non-quadratic cost functions, perhaps non-convex and non-smooth, which however…
Alternating Least Squares Tensor Completion in The TT-Format
Lars Grasedyck, Melanie Kluge, Sebastian Krämer
We consider the problem of fitting a low rank tensor , , to a given set of data points $\{M_i\in\mathbb{R}\mid i\in…
Explicit universal sampling sets in finite vector spaces
Lucia Morotti
In this paper we construct explicit sampling sets and present reconstruction algorithms for Fourier signals on finite vector spaces , with for a suitable prime . Th…
Relations between WENO3 and Third-order Limiting in Finite Volume Methods
Birte Schmidtmann, Benjamin Seibold, Manuel Torrilhon
Weighted essentially non-oscillatory (WENO) and finite volume (FV) methods employ different philosophies in their way to perform limiting. We show that a generalized view on limite…