Current Fields of Research

Numerical Treatment of PDEs, Finite Element Method, Boundary Element Method, Hierarchical Matrices, Ellipticy Regularity

Scientific Publications

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2020all

2020

Accepted Publications

M. Faustmann, J. Melenk, D. Praetorius: Quasi-optimal convergence rate for an adaptive method for the integral fractional Laplacian, accepted for publication in Math. Comp. (2020). [abstract] [preprint]

Preprints, Technical Reports

M. Faustmann, J. Melenk, M. Parvizi: On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractal diffusion, ASC Report 3/2020, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2020, ISBN 978-3-902627-13-1, S. 1-31. [abstract] [pdf]

M. Faustmann, M. Karkulik, J. Melenk: Local convergence of the FEM for the integral fractional Laplacian, ASC Report 24/2020, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2020, ISBN 978-3-902627-13-1, S. 1-20. [abstract] [pdf]

M. Faustmann, J. Melenk, M. Parvizi: Caccioppoli-type estimates and H-Matrix approximations to inverses for FEM-BEM coupling, ASC Report 20/2020, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2020, ISBN 978-3-902627-13-1, S. 1-31. [abstract] [pdf]

N. Angleitner, M. Faustmann, J. Melenk: Approximating inverse FEM matrices on non-uniform meshes with H-matrices, ASC Report 14/2020, Institute for Analysis and Scientific Computing, Vienna University of Technology, Wien, 2020, ISBN 978-3-902627-13-1, S. 1-21. [abstract] [pdf]