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5 papers · 2 filters
Robust Preconditioners for DG-Discretizations with Arbitrary Polynomial Degrees
Kolja Brix, Claudio Canuto, Wolfgang Dahmen
Discontinuous Galerkin (DG) methods offer an enormous flexibility regarding local grid refinement and variation of polynomial degrees for a variety of different problem classes. Wi…
Reduced Basis A Posteriori Error Bounds for Symmetric Parametrized Saddle Point Problems
Anna-Lena Gerner, Karen Veroy
This paper directly builds upon previous work where we introduced new reduced basis a posteriori error bounds for parametrized saddle point problems based on Brezzi's theory. We he…
Reduced Basis A Posteriori Error Bounds for the Instationary Stokes Equations
Anna-Lena Gerner, Arnold Reusken, Karen Veroy
We present reduced basis approximations and rigorous a posteriori error bounds for the instationary Stokes equations. We shall discuss both a method based on the standard formulati…
Dissecting the FEAST algorithm for generalized eigenproblems
Lukas Krämer, Edoardo Di Napoli, Martin Galgon +2
We analyze the FEAST method for computing selected eigenvalues and eigenvectors of large sparse matrix pencils. After establishing the close connection between FEAST and the well-k…
Implicit-Explicit Runge-Kutta schemes for numerical discretization of optimal control problems
Michael Herty, Lorenzo Pareschi, Sonja Steffensen
Implicit-explicit (IMEX) Runge-Kutta methods play a major rule in the numerical treatment of differential systems governed by stiff and non-stiff terms. This paper discusses order…