SFB 65 "Taming Complexity in Partial Differential Systems"

The Austrian Science Fund (FWF) has approved our request for a grant (up to 15K €) for an event aimed at raising awareness of our research findings for the general public. Further details will follow in the next few months. https://www.fwf.ac.at/en/discover/knowledge-transfer-events

Unconditional full linear convergence and quasi-optimal complexity of smoothed adaptive finite element methods We present the first rigorous convergence analysis of the smoothed adaptive finite element method (S-AFEM) proposed in [Mulita, Giani, Heltai: SIAM J. Sci. Comput. 43, 2021]. S-AFEM modifies the class...

arxiv.org/abs/2601.20677

New preprint on "Unconditional full linear convergence and quasi-optimal complexity of smoothed adaptive finite element methods" by P. Bringmann, C. Lietz, and D. Praetorius

New preprint on "The Verigin problem with phase transition as a Wasserstein flow" by A. Kubin, T. Laux, and A. Marveggio https://arxiv.org/abs/2601.20001

New preprint on "Long time behavior of Fokker-Planck equations for bosons and fermions" by A. Arnold, M. Pirner, and G. Toshpulatov http://arxiv.org/abs/2601.17594

New preprint on "A whole-brain model of amyloid beta accumulation and cerebral hypoperfusion in Alzheimer's disease" by M. Corti, A. Ahern, A. Goriely, E. Kuhl, and P. F. Antonietti https://arxiv.org/abs/2601.08478

New preprint on "On the Compact Discontinuous Galerkin method for polytopal meshes" by M. Corti and S. Gómez https://arxiv.org/abs/2601.07757

New preprint on "Weak-strong uniqueness for general cross-diffusion systems with volume filling" by M. Heitzinger and A. Jüngel https://arxiv.org/abs/2509.25978

New preprint on "Connection of hypocoercivity and hypocontractivity via the Cayley transform" by A. Arnold, S. Egger, V. Mehrmann, and E. A. Nigsch http://arxiv.org/abs/2601.09656

New preprint on "A free boundary problem in accretive growth" by U. Stefanelli https://arxiv.org/abs/2601.08755

New preprint on "Stability, convergence, and geometric properties of second-order-in-time space-time discretizations for linear and semilinear wave equations" by M. Ferrari, I. Perugia, and E. Zampa https://arxiv.org/abs/2601.03160

New preprint on "A generalized Scharfetter-Gummel scheme for nonlocal cross-diffusion systems" by A. Jüngel, P. Li, and Z. Sun https://arxiv.org/abs/2601.01731

New preprint on "Multigoal-oriented adaptive finite element method with convergence rates" by R. Becker, M. Brunner, P. Hilbert, M. Innerberger, and D. Praetorius https://arxiv.org/abs/2601.01965

New preprint on "The Vicsek-Kuramoto model in collective dynamics: macroscopic equations and pattern formation" by S. Merino-Aceituno and C. Moschella https://arxiv.org/abs/2512.17035

New preprint on "The Semi-Classical Limit from the Dirac Equation with Time-Dependent External Electromagnetic Field to Relativistic Vlasov Equations" by F. Golse, N. Leopold, N. J. Mauser, J. Möller, and C. Saffirio https://arxiv.org/abs/2512.17849

New preprint on "Newton's method in adaptive iteratively linearized FEM" by P. Bringmann, M. Brunner, and D. Praetorius https://arxiv.org/abs/2512.19357

New preprint on "Low-rank cross approximation of function-valued tensors for reduced-order modeling of parametric PDEs" by S. Budzinskiy, V. Kazeev, and M. Olshanskii https://arxiv.org/abs/2511.22650

New preprint on "BDF2-type integrator for Landau-Lifshitz-Gilbert equation in micromagnetics, part I: unconditional weak convergence to weak solutions" by M. Aldé, M. Feischl, and D. Praetorius https://arxiv.org/abs/2511.22000

New preprint on "Velocity Averaging Lemmas: Classical, Quantum and Semi-Classical" by F. Golse, N. J. Mauser, and J. Möller https://arxiv.org/abs/2512.01529

New preprint on "Optimal Time-Adaptivity for Parabolic Problems with applications to Model Order Reduction" by M. Feischl, F. J. Henríquez, and D. Niederkofler https://arxiv.org/abs/2512.05676

New preprint on "Homogenization and linearization in magnetoelasticity under small elastic response" by M. Cherdantsev, E. Davoli, L. D'Elia, and S. Riccò https://cvgmt.sns.it/paper/7418/

New preprint on "A novel mathematical and computational framework of amyloid-beta triggered seizure dynamics in Alzheimer's disease" by C. B. Leimer Saglio, M. Corti, S. Pagani, and P. F. Antonietti https://arxiv.org/abs/2511.10369

New preprint on "Structure-preserving local discontinuous Galerkin discretization of conformational conversion systems" by P. F. Antonietti, M. Corti, S. Gómez, and I. Perugia https://arxiv.org/abs/2511.04830

New preprint on "HJB equations driven by the Dirichlet-Ferguson Laplacian in Wasserstein-Sobolev spaces" by F. Delarue, M. Martini, and G. E. Sodini https://arxiv.org/abs/2511.03522

New preprint on "Local asymptotics for the nonlocal Swift-Hohenberg equation" by E. Davoli, C. Kuehn, L. Scarpa, and L. Trussardi https://arxiv.org/abs/2511.02341

New preprint on "Chemotaxis guidance of random walkers modeling self-wiring of neural networks" by N. Geltner and A. Jüngel https://arxiv.org/abs/2511.01653

New preprint on "Modeling Protein Diffusion Across ER-Nuclear Envelope Junctions Reveals Efficient Transport via Simple Diffusion" by S. Merino-Aceituno, C. Moschella, S. Otsuka, C. Schmeiser, and J. Scholz https://arxiv.org/abs/2510.09479

New preprint on "Crystallization in the Winterbottom shape and sharp fluctuation laws" by M. Friedrich, L. Kreutz, and U. Stefanelli https://arxiv.org/abs/2509.05642

The paper "The asymptotic of the Mullins-Sekerka and the area-preserving curvature flow in the planar flat torus" by V. Arya, D. De Gennaro, and A. Kubin has been published. https://doi.org/10.1016/j.jde.2025.113755

New preprint on "Stability and uniqueness of bounded weak solutions to triangular degenerate cross-diffusion systems" by X. Chen, B. Du, and A. Jüngel https://arxiv.org/abs/2508.17379