Scientific Publications

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2012

Articles

M. Aurada, M. Feischl, M. Karkulik, D. Praetorius: A posteriori error estimates for the Johnson-Nédélec FEM-BEM coupling, Engineering Analysis with Boundary Elements, 36 (2012), 255-266. [abstract] [www] [preprint]

M. Aurada, M. Feischl, D. Praetorius: Convergence of some adaptive FEM-BEM coupling for elliptic but possibly nonlinear interface problems, Mathematical Modelling and Numerical Analysis (M2AN), 46 (2012), 1147-1173. [abstract] [www] [preprint]

M. Aurada, S. Ferraz-Leite, P. Goldenits, M. Karkulik, M. Mayr, D. Praetorius: Convergence of adaptive BEM for some mixed boundary value problem, Applied Numerical Mathematics, 62 (2012), 226-245. [abstract] [www] [preprint]

M. Aurada, S. Ferraz-Leite, D. Praetorius: Estimator reduction and convergence of adaptive BEM, Applied Numerical Mathematics, 62 (2012), 787-801. [abstract] [www] [preprint]

F. Bruckner, C. Vogler, M. Feischl, D. Praetorius, B. Bergmair, T. Huber, M. Fuger, D. Süss: 3D FEM-BEM-coupling method to solve magnetostatic Maxwell equations, Journal of Magnetism and Magnetic Materials, 324 (2012), 1862-1866. [abstract] [www] [preprint]

C. Carstensen, D. Praetorius: Convergence of adaptive boundary element methods, Journal of Integral Equations and Applications, 24 (2012), 1-23. [abstract] [www] [preprint]

C. Carstensen, D. Praetorius: Stabilization yields strong convergence of macroscopic magnetization vectors for micromagnetics without exchange energy, Journal of Numerical Mathematics, 20 (2012), 81-109. [abstract] [www] [preprint]

S. Ferraz-Leite, J. Melenk, D. Praetorius: Numerical quadratic energy minimization bound to convex constraints in thin-film micromagnetics, Numerische Mathematik, 122 (2012), 101-131. [abstract] [www] [preprint]

J. Melenk, M. Faustmann, D. Praetorius: Efficient and Robust Approximation of the Helmholtz Equation, Oberwolfach Reports, 9 (2012), 3305-3338. [www]

Proceedings

P. Goldenits, G. Hrkac, D. Praetorius, D. Süss: An effective integrator for the Landau-Lifshitz-Gilbert equation, MATHMOD 2012 - 7th Vienna Conference on Mathematical Modelling, Wien, 14.02.2012-17.02.2012, 7th Vienna International Conference on Mathematical Modelling, International Federation of Automatic Control, Mathematical Modelling, Volume 7, Part 1 (2012), ISBN: 978-3-902823-23-6, S. 493-497. [abstract] [www] [preprint]

Preprints, Technical Reports

M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems, ASC Report 52/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-23. [abstract] [pdf] [published 2015]

M. Faustmann, J. Melenk, D. Praetorius: A new proof for existence of $\mathcal{H}$-matrix approximants to the inverse of FEM matrices: the Dirichlet problem for the Laplacian, ASC Report 51/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-10. [abstract] [pdf] [published 2014]

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Novel inverse estimates for non-local operators (IABEM 2013), ASC Report 49/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-6. [pdf] [published 2013]

M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Quasi-optimal adaptive BEM (IABEM 2013), ASC Report 48/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-6. [pdf] [published 2013]

M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: FEM-BEM couplings without stabilization (IABEM 2013), ASC Report 47/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-6. [pdf] [published 2013]

M. Feischl, T. Führer, D. Praetorius: Adaptive FEM with optimal convergence rates for a certain class of non-symmetric and possibly non-linear problems, ASC Report 43/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-21. [abstract] [pdf] [published 2014]

L. Banas, M. Page, D. Praetorius: A general integrator for the Landau-Lifshitz-Gilbert equation, ASC Report 42/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-4. [abstract] [pdf]

F. Bruckner, C. Vogler, B. Bergmair, T. Huber, M. Fuger, D. Süss, M. Feischl, T. Führer, M. Page, D. Praetorius: Combining micromagnetism and magnetostatic Maxwell equations for multiscale magnetic simulations, ASC Report 37/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 3-11. [abstract] [pdf] [published 2013]

F. Bruckner, M. Feischl, T. Führer, P. Goldenits, M. Page, D. Praetorius, M. Ruggeri, D. Süss: Multiscale modeling in micromagnetics: Existence of solutions and numerical integration, ASC Report 34/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-28. [abstract] [pdf] [published 2014]

M. Karkulik, G. Of, D. Praetorius: Convergence of adaptive 3D BEM for weakly singular integral equations based on isotropic mesh-refinement, ASC Report 20/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-25. [abstract] [pdf] [published 2013]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, D. Praetorius: Efficiency and optimality of some weighted-residual error estimator for adaptive 2D boundary element methods, ASC Report 15/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-27. [abstract] [pdf] [published 2013]

M. Karkulik, D. Pavlicek, D. Praetorius: On 2D newest vertex bisection: Optimality of mesh-closure and H^1-stability of L_2-projection, ASC Report 10/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-28. [abstract] [pdf] [published 2013]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity, ASC Report 08/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-20. [abstract] [pdf] [published 2013]

M. Aurada, M. Feischl, T. Führer, M. Karkulik, J. Melenk, D. Praetorius: Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM, ASC Report 07/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-32. [abstract] [pdf]

M. Aurada, M. Feischl, J. Kemetmüller, M. Page, D. Praetorius: Each H1/2-stable projection yields convergence and quasi-optimality of adaptive FEM with inhomogeneous Dirichlet data in Rd, ASC Report 03/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6, S. 1-35. [abstract] [pdf] [published 2013]

P. Goldenits, G. Hrkac, D. Praetorius, D. Süss: An Effective Integrator for the Landau-Lifshitz-Gilbert Equation, ASC Report 02/2012, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2012, ISBN 978-3-902627-05-6. [abstract] [pdf] [published 2012]

Theses

M. Ebner: A-posteriori Fehlerschätzung für die Symm'sche Integralgleichung (Supervisor: M. Aurada, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2012. [abstract] [pdf]

M. Feischl: Optimality of adaptive 2D boundary element method (Supervisor: M. Karkulik, D. Praetorius), Diploma thesis, Institute for Analysis and Scientific Computing, 2012, Examination: 22.03.2012. [abstract] [pdf]

P. Goldenits: Konvergente numerische Integration der Landau-Lifshitz-Gilbert Gleichung, Betreuer/in (nen) (Supervisor: D. Praetorius, D. Süss), Dissertation, Institute for Analysis and Scientific Computing, 2012, Rigorosum: 15.06.2012.

M. Karkulik: Zur Konvergenz und Quasioptimalität adaptiver Randelementmethoden, Betreuer/in (nen) (Supervisor: D. Praetorius, J. Melenk, S. Sauter), Dissertation, Institute for Analysis and Scientific Computing, 2012, Rigorosum: 29.10.2012. [abstract] [pdf]

J. Kemetmüller: Vektorisierte Implementierung von P1-FEM in 3D (Supervisor: M. Page, D. Praetorius), Bachelor thesis, Institute for Analysis and Scientific Computing, 2012. [abstract] [pdf]