Prof. Dr. Helmut Harbrecht
Lehrveranstaltungen im FS 13:
- Vorlesung: Einführung in die Numerik inkl. Projekt
- Seminar: Numerische Lineare Algebra
- Programmierpraktikum: Praktikum II
- Forschungsseminar: Numerical Analysis
Research interests:
- Partial differential equations
- Boundary integral equations
- Wavelets
- Wavelet Galerkin schemes
- Adaptive methods
- Coupling of FEM and BEM
- Fictitious domain methods
- Shape optimization
- Inverse problems
- PDEs with stochastic input parameters
- Quantum chemistry
Recent Publications:
- L. Graff, J. Fender, H. Harbrecht, and M. Zimmermann. Key parameters in high-dimensional systems with uncertainty. Preprint 2013-12, Mathematisches Institut, Universität Basel, Switzerland, 2013.
- M. Griebel and H. Harbrecht. On the convergence of the combination technique. Preprint 2013-07, Mathematisches Institut, Universität Basel, Switzerland, 2013.
- H. Harbrecht and M. Peters. Comparison of fast boundary element methods on parametric surfaces. Preprint 2013-01, Mathematisches Institut, Universität Basel, Switzerland, 2013 (to appear in Comput. Methods Appl. Mech. Engrg.).
- L. Graff, H. Harbrecht, and M. Zimmermann. On the computation of solution spaces in high dimensions. Preprint SPP1253-138, DFG Priority Program 1253, Universität Erlangen-Nürnberg, Germany, 2012.
- H. Harbrecht. Second moment analysis for Robin boundary value problems on random domains, Preprint 2012-13, Mathematisches Institut, Universität Basel, Switzerland, 2012 (to appear in Lecture Notes in Computational Science and Engineering, Springer).
- A. Buffa, H. Harbrecht, A. Kunoth, and G. Sangalli. BPX-preconditioning for isogeometric analysis, Preprint 2012-12, Mathematisches Institut, Universität Basel, Switzerland, 2012.
- M. Griebel and H. Harbrecht. A note on the construction of L-fold sparse tensor product spaces. Preprint 531, Berichtsreihe des SFB 611, Universität Bonn, Germany, 2012 (to appear in Constr. Approx.).
- H. Harbrecht, W.L. Wendland, and N. Zorii. Riesz minimal energy problems on $C^{k−1,1}$-manifolds. Preprint 2012-01, Mathematisches Institut, Universität Basel, Switzerland, 2012.
- H. Harbrecht. Preconditioning of wavelet BEM by the incomplete Cholesky factorization. Preprint 2011-07, Mathematisches Institut, Universität Basel, Switzerland, 2011.
- H. Harbrecht, M. Peters, and M. Siebenmorgen. Combination technique based k-th moment analysis of elliptic problems with random diffusion. Preprint 2011-02, Mathematisches Institut, Universität Basel, Switzerland, 2011.
- H. Harbrecht and J. Tausch. On the numerical solution of a shape optimization problem for the heat equation. SIAM J. Sci. Comput., 35(1):A104-A121, 2013.
- H. Harbrecht, M. Peters, and M. Siebenmorgen. On multilevel quadrature for elliptic stochastic partial differential equations. In J. Garcke and M. Griebel, editors, Sparse grids and applications, volume 88 of Lecture Notes in Computational Science and Engineering, pages 161-179, Berlin-Heidelberg, 2013. Springer.
- M. Griebel and H. Harbrecht. On the construction of sparse tensor product spaces. Math. Comput., 82(282):975-994, 2013.
- H. Harbrecht and J. Li. A fast deterministic method for stochastic elliptic interface problems based on low-rank approximation. Research Report No. 2011-24, Seminar für Angewandte Mathematik, ETH Zürich, Switzerland, 2011 (to appear in ESAIM Math. Model. Numer. Anal.).
- H. Harbrecht. On analytical derivatives for geometry optimization in the polarizable continuum model. J. Math. Chem., 49(9):1928-1936, 2011.