Minimum Residual & Least-Squares Finite Element Methods

Santiago, Chile

October 5-7, 2022

Book of abstracts

The conference booklet is found here.


Talks will be given in the lecture hall R28

Wednesday, Oct. 05

09:30-11:30Session 1 (Chair: N. Heuer)
09:30-10:00  Demkowicz  DPG Progress at Oden[Slides]
10:00-10:30BadgerScalable simulation of fiber laser model with DPG[Slides]
10:30-11:00RobertsDPG for Vlasov: Two Formulations and Selected Results[Slides]
11:00-11:30ŁośLeast-squares space-time formulation for advection-diffusion problem with efficient linear solver based on matrix compression[Slides]
11:30-12:15Coffee break
12:15-13:45Session 2 (Chair: M. Sánchez)
12:15-12:45  Karkulik  Space-time finite elements for the optimal control of parabolic equations[Slides]
12:45-13:15GantnerApplications of a space-time FOSLS formulation for parabolic PDEs[Slides]
13:15-13:45WienersSpace-time Discontinuous Galerkin methods and Discontinuous Petrov-Galerkin methods for hyperbolic linear Friedrichs systems[Slides]
13:45-15:00Lunch break
15:00-16:30Session 3 (Chair: F. Fuentes)
15:00-15:30  Chakraborty  A continuous hp-mesh model for DPG finite element schemes with optimal test functions[Slides]
15:30-16:00VegaAn adaptive superconvergent finite element method based on local residual minimization[Slides]
16:00-16:30MoraUsing PolyDPG to simulate nonlinear mechanics of elastomers[Slides]
16:30-17:00Coffee break
17:00-18:00Session 4 (Chair: I. Muga)
17:00-17:30  Bertrand  Approximation of eigenvalue problems with MINRES: Recent advances[Slides]
17:30-18:00BoffiOn the computation of Maxwell's eigenvalues with nodal elements[Slides]
18:00-19:00Wine reception

Thursday, Oct. 06

09:30-11:30Session 5 (Chair: M. Karkulik)
09:30-10:00  CaiLeast-Squares Neural Network (LSNN) Method for Hyperbolic Conservation Laws[Slides]
10:00-10:30BersetcheA deep first-order system least squares method for solving elliptic PDEs[Slides]
10:30-11:00Sepúlveda  A machine learning least-squares method with a weighted norm[Slides]
11:00-11:30MugaNeural Control of Discrete Weak Formulations of PDEs[Slides]
11:30-12:15Coffee break
12:15-13:45Session 6 (Chair: J. Gopalakrishnan)
12:15-12:45  FührerMINRES for second-order PDEs with singular data[Slides]
12:45-13:15RojasRegularization of rough linear functionals and adaptivity[Slides]
13:15-13:30HerreraA DPG method for the quad-div problem[Slides]
13:30-13:45Bringmann  Convergence analysis and numerical comparison of adaptive least-squares finite element methods[Slides]
13:45-15:00Lunch break
15:00-16:00Session 7 (Chair: P. Sepúlveda)
15:00-15:30  Fuentes  Rigorous global minimization of nonlinear integral functionals using finite element discretizations and polynomial optimization[Slides]
15:30-16:00ShiAn L1 mixed DG method for second-order Elliptic Equations in the Non-divergence Form[Slides]
16:00-16:30Coffee break
16:30-17:30Session 8 (Chair: S. Rojas)
16:30-17:00  Muñoz-Matute  DPG time-marching scheme with DPG semidiscretization is space for transient advection-reaction equations[Slides]
17:00-17:30StevensonRobust least-squares methods for the Helmholtz equation[Slides]

Friday, Oct. 07

10:00-11:30Session 9 (Chair: T. Führer)
10:00-10:30  Carstensen  Towards adaptive Hybrid high-order methods (HHO)[Slides]
10:30-11:00NiemiDPG approach for dealing with stress concentrations[Slides]
11:00-11:30HeuerDPG for Reissner-Mindlin plates, Part 2[Slides]
11:30-12:30Extended coffee break and light meal

Conference Dinner

The dinner takes place on Thursday, Oct. 06, 20:00 at Park Lane Restaurant of Hotel Park Plaza (Av. Ricardo Lyon 207, Providencia, map).


The excursion scheduled for Friday afternoon will take us to the Matetic Vineyards. The trip includes a tour of the winery and a wine tasting. A shuttle bus will take us there and departures approximately at 12:30 from the conference site. The bus will return approx. between 17:30 and 18:00 to the Hotel Park Plaza.