Research

NumPDEs
hilbert
Research

Numerics of PDEs
Finite Elemente Methods
Multigrid mehods
Optimal preconditioners for Galerkin matrices

T. Führer, P. Hilbert, A. Miraci, D. Praetorius: Adaptive finite element methods with optimally preconditioned GMRES guarantee optimal complexity, [arXiv:2604.17947], 2026
P. Hilbert, A. Miraci, D. Praetorius: Generalized preconditioned conjugate gradients for adaptive FEM with optimal complexity, [arxiv:2601.14911], 2026
R. Becker, M. Brunner, P. Hilbert, M. Innerberger, D. Praetorius: Multigoal-oriented adaptive finite element methods with convergence rates, [arXiv:2601.01965], 2026

Master thesis: Geometric multigrid method with hp-robust contraction (Supervisors: A. Miraçi, D. Praetorius), TU Wien, 2025. [PDF], opens an external URL in a new window

Poster Multigoal-oriented AFEM pdf 706 KB , download

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Research

Current fields of research

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Thesis