MinRes&LS-FEM 2026

Session 1

Chair - David Pardo

• Jay Gopalakrishnan, DPG loss functions for neural networks
• Rob Stevenson; A time-space adaptive solver of quasi-linearparabolic PDEs
• K.G. van der Zee, Neural Network Dual Norms for Residual Minimization

Coffee break

Session 2

Chair - Judit Muñoz Matute

• Philipp Bringmann, Global convergence of adaptive least-squares finite element methods for nonlinear PDEs
• Christian Koethe, A space-time minimal residual method for nonlinear parabolic problems
• Tomasz Służalec, Discrete Riesz Maps and Neural Minimum Residual Methods in Three Dimensions

Lunch break

Session 3

Chair - Kristoffer van der Zee

• Maciej Paszyński, IGA-ODIL: A Residual Minimization Framework for PDEs in Spline Spaces
• Federico Fuentes, Energy minimization using r -adaptive finite element methods and neural networks
• Judit Muñoz-Matute, Stable Time Integration of Transient Parabolic Problems via Residual Minimization: Finite Element and Neural Network Approximations

Coffee break

Session 4

Chair - Marcin Łoś

• Eun-Jae Park, Raviart-Thomas Staggered DG methods on polygonal meshes
• Mi-Young Kim, A posteriori error estimate of the discontinuous Galerkin method with Lagrange multiplier for elliptic problems

Dinner

• Conference dinner at Wierzynek - Rynek Główny 16

Session 1

Chair - Maciej Paszyński

• Waldemar Rachowicz, Three-dimensional implementation of the Discontinuous Petrov-Galerkin method for the singularly perturbed reaction-diffusion problems
• Wolfgang Dahmen, On the Convergence of Adaptive Least Squares Methods
• Christian Wieners, Least-Squares approximations for linear convection problems in case of low regularity

Coffee break

Session 2

Chair - Tomasz Służalec

• Fleurianne Bertrand, Local Quasi-equilibration of fluxes with the Least-Squares method
• Emin Benny-Chacko, Inexcat Uzawa-Double Deep Ritz Method for Weak Adversarial Neural Networks
• Jonathan Zhang, Nonlinear Elasticity with the DPG Method
• Thomas Führer, Sergio Rojas, Stabilized MINRES

Lunch break

Session 3

Chair - Maciej Woźniak

• Shun Zhang, Quantity-of-Interest Based Adaptive LSFEMs with Physically Meaningful Dual PDE and Built-in Estimators
• Zhiqiang Cai, Structure-guided Gauss-Newton and Newton methods for non-convex optimization problems arising from ReLU neural network approximations
• Constantin Bacuta, Oscillatory Behavior in Convection-Diffusion Discretization (hybrid - online presentation)

Coffee break

Session 4

• Weifeng Qiu, Analysis of a finite element method for second order uniformly elliptic PDEs in non-divergence form
• Nathan V. Roberts, First Efforts at Tensor-Train for Space-Time DPG Problems
• Jaime David Mora Paz, Three-dimensional DPG simulations to study bending power losses in optical fibers

Depatrure to Wieliczka

Meeting in the parking lot of Faculty of Computer Science

Salt Mine Excursion

Arrival at the Salt Mine

Salt Mine Excursion

Salt Mine Tour

Wieliczka sightseeing

Lunch, and sightseeing