Karsten Urban

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 24

Top Topics

Optimal Control Problems

Variational Formulation

Rigid Body Motion

Partial Differential Equations

Top Venues

Adv. Comput. Math.

Publications

Stefan Hain, Karsten Urban
An ultra-weak space-time variational formulation for the Schrödinger equation. J. Complex. 85 (2024)
Niklas Reich, Karsten Urban, Jürgen Vorloeper
A parallel batch greedy algorithm in reduced basis methods: Convergence rates and numerical results. CoRR (2024)
Nina Beranek, Martin Alexander Reinhold, Karsten Urban
A space-time variational method for optimal control problems: well-posedness, stability and numerical solution. Comput. Optim. Appl. 86 (2) (2023)
Florian Arbes, Constantin Greif, Karsten Urban
The Kolmogorov N-width for linear transport: Exact representation and the influence of the data. CoRR (2023)
Stefan Hain, Karsten Urban
An Ultra-Weak Space-Time Variational Formulation for the Schrödinger Equation. CoRR (2022)
Emil Beurer, Moritz Feuerle, Niklas Reich, Karsten Urban
An Ultraweak Variational Method for Parameterized Linear Differential-Algebraic Equations. Frontiers Appl. Math. Stat. 8 (2022)
Constantin Greif, Philipp Junk, Karsten Urban
Linear/Ridge expansions: enhancing linear approximations by ridge functions. Adv. Comput. Math. 48 (3) (2022)
Emil Beurer, Moritz Feuerle, Niklas Reich, Karsten Urban
An ultraweak variational method for parameterized linear differential-algebraic equations. CoRR (2022)
Lewin Ernst, Karsten Urban
A certified wavelet-based physics-informed neural network for the solution of parameterized partial differential equations. CoRR (2022)
Constantin Greif, Philipp Junk, Karsten Urban
Linear/Ridge expansions: Enhancing linear approximations by ridge functions. CoRR (2021)
Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban
Very Weak Space-Time Variational Formulation for the Wave Equation: Analysis and Efficient Numerical Solution. CoRR (2021)
Mazen Ali, Karsten Urban
HT-AWGM: a hierarchical Tucker-adaptive wavelet Galerkin method for high-dimensional elliptic problems. Adv. Comput. Math. 46 (4) (2020)
Nina Beranek, M. Alexander Reinhold, Karsten Urban
A Space-Time Variational Method for Optimal Control Problems. CoRR (2020)
Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban
Matrix Oriented Reduction of Space-Time Petrov-Galerkin Variational Problems. ENUMATH (2019)
Constantin Greif, Karsten Urban
Decay of the Kolmogorov N-width for wave problems. Appl. Math. Lett. 96 (2019)
Moritz Feuerle, Karsten Urban
A Variational Formulation for LTI-Systems and Model Reduction. ENUMATH (2019)
Julian Henning, Davide Palitta, Valeria Simoncini, Karsten Urban
Matrix oriented reduction of space-time Petrov-Galerkin variational problems. CoRR (2019)
Julia Brunken, Kathrin Smetana, Karsten Urban
(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods. SIAM J. Sci. Comput. 41 (1) (2019)
Stefan Hain, Mario Ohlberger, Mladjan Radic, Karsten Urban
A hierarchical a posteriori error estimator for the Reduced Basis Method. Adv. Comput. Math. 45 (5) (2019)
Mazen Ali, Kristina Steih, Karsten Urban
Reduced basis methods with adaptive snapshot computations. Adv. Comput. Math. 43 (2) (2017)
Sebastian Kestler, Kristina Steih, Karsten Urban
An efficient space-time adaptive wavelet Galerkin method for time-periodic parabolic partial differential equations. Math. Comput. 85 (299) (2016)
Julia Springer, Karsten Urban
Adjoint-Based Optimization for Rigid Body Motion in Multiphase Navier-Stokes Flow. SIAM J. Sci. Comput. 37 (2) (2015)
Mazen Ali, Karsten Urban
Reduced Basis Exact Error Estimates with Wavelets. ENUMATH (2015)
Peter Benner, Mario Ohlberger, Anthony T. Patera, Gianluigi Rozza, Danny C. Sorensen, Karsten Urban
Model order reduction of parameterized systems (MoRePaS) - Preface to the special issue of advances in computational mathematics. Adv. Comput. Math. 41 (5) (2015)
Karsten Urban, Anthony T. Patera
An improved error bound for reduced basis approximation of linear parabolic problems. Math. Comput. 83 (288) (2014)
Silke Glas, Karsten Urban
On Noncoercive Variational Inequalities. SIAM J. Numer. Anal. 52 (5) (2014)
Theresa Springer, Karsten Urban
Comparison of the EM algorithm and alternatives. Numer. Algorithms 67 (2) (2014)
Bernard Haasdonk, Karsten Urban, Bernhard Wieland
Reduced Basis Methods for Parameterized Partial Differential Equations with Stochastic Influences Using the Karhunen-Loève Expansion. SIAM/ASA J. Uncertain. Quantification 1 (1) (2013)
Sebastian Kestler, Karsten Urban
Adaptive Wavelet Methods on Unbounded Domains. J. Sci. Comput. 53 (2) (2012)
Ralf Leidenberger, Karsten Urban
Automatic differentiation for the optimization of a ship propulsion and steering system: a proof of concept. J. Glob. Optim. 49 (3) (2011)
Timo Tonn, Karsten Urban, Stefan Volkwein
Optimal Control of Parameter-Dependent Convection-Diffusion Problems around Rigid Bodies. SIAM J. Sci. Comput. 32 (3) (2010)
Claudio Canuto, Timo Tonn, Karsten Urban
A Posteriori Error Analysis of the Reduced Basis Method for Nonaffine Parametrized Nonlinear PDEs. SIAM J. Numer. Anal. 47 (3) (2009)
Kai Bittner, Karsten Urban
On interpolatory divergence-free wavelets. Math. Comput. 76 (258) (2007)
Claudio Canuto, Karsten Urban
Adaptive Optimization of Convex Functionals in Banach Spaces. SIAM J. Numer. Anal. 42 (5) (2005)
Wolfgang Dahmen, Torben Klint, Karsten Urban
On Fictitious Domain Formulations for Maxwell's Equations. Found. Comput. Math. 3 (2) (2003)
Cem M. Albukrek, Karsten Urban, Dietmar Rempfer, John L. Lumley
Divergence-Free Wavelet Analysis of Turbulent Flows. J. Sci. Comput. 17 (1-4) (2002)
Stephan Dahlke, Wolfgang Dahmen, Karsten Urban
Adaptive Wavelet Methods for Saddle Point Problems - Optimal Convergence Rates. SIAM J. Numer. Anal. 40 (4) (2002)
Karsten Urban
Wavelet bases in H(div) and H(curl). Math. Comput. 70 (234) (2001)
Arne Barinka, Titus Barsch, Philippe Charton, Albert Cohen, Stephan Dahlke, Wolfgang Dahmen, Karsten Urban
Adaptive Wavelet Schemes for Elliptic Problems - Implementation and Numerical Experiments. SIAM J. Sci. Comput. 23 (3) (2001)
Wolfgang Dahmen, Angela Kunoth, Karsten Urban
A Wavelet Galerkin Method for the Stokes Equations. Computing 56 (3) (1996)
Karsten Urban
On divergence-free wavelets. Adv. Comput. Math. 4 (1) (1995)