Robust adaptivity for nonlinear partial differential equations
Monday, March 23 – Wednesday, March 25, 2026
Main topics
A posteriori error estimates and adaptivity for
- numerical discretizations of partial differential equations
- a posteriori error estimates
- iterative linearization
- linear algebraic solvers
- mesh and polynomial degree adaptivity
- stopping criteria, interplay of error components
- convergence and optimality with respect to computational cost
- h– and p-robustness
- material properties robustness
Speakers
- Markus Bachmayr (RWTH Aachen)
- Roland Becker (Université de Pau et des Pays de l’Adour)
- Silvia Bertoluzza (Institute for applied mathematics and information technologies “Enrico Magenes”, Pavia)
- Théophile Chaumont-Frelet (Inria Lille)
- Willy Dörfler (Karlsruhe Institute of Technology)
- Patrick Farell (University of Oxford)
- Jay Gopalakrishnan (Portland State University)
- Johnny Guzmán (Brown University)
- André Harnist (Université de Technologie de Compiègne)
- Ralf Hiptmair (ETH Zürich)
- Christian Kreuzer (TU Dortmund)
- Martin Licht (TU Dresden)
- Ani Miraçi (Sorbonne Université)
- Charles Parker (U.S. Naval Research Laboratory)
- Clemens Pechstein (Dassault Systèmes Simulia)
- Dirk Praetorius (Technische Universität Wien)
- Joachim Schöberl (Technische Universität Wien)
- Iain Smears (University College London)
- Nicole Spillane (Ecole Polytechnique)
- Johannes Storn (University of Leipzig)
- Rob Stevenson (University of Amsterdam)
- Andreas Veeser (Università degli Studi di Milano)
- Tomáš Vejchodský (Institute of Mathematics, Czech Academy of Sciences)
- Thomas Wihler (Universität Bern)
Program
Monday, March 23 |
| 09:00 — 09:30 Welcome coffee |
| 09:30 — 10:15 Willy Dörfler: Adaptive timestepping and mesh refinement for the Landau-Lifschitz-Gilbert equation |
| 10:15 — 11:00 Rob Stevenson: A time-space adaptive solver of quasi-linear parabolic PDEs |
| 11:00 — 11:30 Coffee break |
| 11:30 — 12:15 Jay Gopalakrishnan: Adaptivity for nonselfadjoint eigenmodes of optical fibers |
| 12:15 — 13:00 Patrick Farrell: Computing multiple solutions of nonlinear problems with deflation |
| 13:00 — 14:30 Lunch |
| 14:30 — 15:15 Silvia Bertoluzza: hp virtual elements on approximated domains |
| 15:15 — 16:00 Théophile Chaumont-Frelet: A posteriori error estimation and adaptivity for the finite element discretization of second-order PDE problems set in unbounded domains |
| 16:00 — 16:30 Tea break |
| 16:30 — 17:15 Dirk Praetorius: Optimal interplay of adaptive mesh-refinement and iterative solvers for nonlinear elliptic PDEs |
| 17:15 — 18:00 Ani Miraçi: AFEM with optimally preconditioned GMRES |
| 18:00 — 18:45 Thomas Wihler: Weak convergence of iteration schemes |
Tuesday, March 24 |
| 08:45 — 09:30 Johnny Guzmán: TBA |
| 09:30 — 10:15 Charles Parker: Are “locking-free” plate elements actually locking-free? |
| 10:15 — 11:00 Joachim Schöberl: Matrix-valued finite elements for solids, shells and fluid dynamics |
| 11:00 — 11:30 Coffee break |
| 11:30 — 12:15 Iain Smears: Mean field games with nondifferentiable Hamiltonians |
| 12:15 — 13:00 Clemens Pechstein: Partial inductance |
| 13:00 — 14:30 Lunch |
| 14:30 — 15:15 Johannes Storn: Guaranteed upper bounds for iteration errors and modified Kacanov schemes via discrete duality |
| 15:15 — 16:00 Nicole Spillane: Weighted GMRES accelerated by preconditioning and deflation |
| 16:00 — 17:00 Tea break and poster session |
| 17:00 — 17:45 Tomáš Vejchodský: On the analysis of Nitsche’s method for immersed boundary finite elements |
| 17:45 — 18:00 Dario Ferloni: Optimal complexity of adaptive FEM for second-order linear elliptic PDEs driven by non-residual estimators |
| 18:00 — 18:30 Benjamin Zurich & Lukas Renelt: Optimal contraction of the energy difference for strongly monotone problems |
Wednesday, March 25 |
| 08:45 — 09:30 Markus Bachmayr: Space-time adaptivity for a class of poroviscoelastic flows |
| 09:30 — 10:15 Roland Becker: A Newton method on subspaces for ODEs |
| 10:15 — 11:00 Andreas Veeser: TBA |
| 11:00 — 11:30 Coffee break |
| 11:30 — 12:15 Christian Kreuzer: Pressure robust discretisations of the nonlinear Stokes equations |
| 12:15 — 13:00 André Harnist: Robust augmented energy and norm a posteriori estimates for nonlinear elliptic problems |
| 13:00 — 14:30 Lunch |
| 14:30 — 15:15 Martin Licht: De Rham complexes for nonlinear Hodge-Laplacians |
| 15:15 — 16:00 Ralf Hiptmair: FEEC in Flow: Transport of Differential Forms |
| 16:00 — 16:30 Farewell tea |
Poster
Organisers: Gregor Gantner (University of Bonn), Lukas Renelt (Inria Paris), Martin Vohralík (Inria Paris), and Benjamin Zurich (Inria Paris),
Registration
Open for participation to the talks and discussions, no workshop fee. However, registration via e-mail to apost2026@inria.fr is compulsory; please state your name and institution. Registration also provides access to the coffee breaks.
Participation in person
For details on how to reach Inria Paris, see here; it is situated in the 13th arrondissement, near rue de Tolbiac.
The workshop will take place in the Jacques-Louis Lions auditorium, ground floor. ***Please remember to bring your personal ID.***
Participation online
The workshop will also be streamed online. The registered participants will receive instructions by e-mail.
Last updated: March 13, 2026