Frontiers of Numerical PDEs

Fractional Differential Equations, Geometric Evolution, Liquid Crystals, Optimal Transport, and Adaptivity
May 16-19, 2023

Videos of talks are available here.

Tuesday afternoon

• From Finite Element to Deep Learning
  Jinchao Xu (Pennsylvania State University)
• On approximation classes for adaptive time-stepping finite element methods
  Pedro Morin (Universidad Nacional del Litoral)
• Finite Element Complexes
  Long Chen (University of California, Irvine)

Wednesday morning

• Advances in Advancing Interfaces: The Mathematics of Manufacturing of Industrial Foams, Fluidic Devices, and Automobile Painting
  James Sethian (University of California, Berkeley)
• A discretization of the ill-posed Cauchy problem for the Laplace equation
  Vivette Girault (Laboratoire Jacques-Louis Lions)
• A priori and a posteriori error estimates for discontinuous Galerkin time-discrete methods via maximal regularity
  Stig Larsson (Chalmers University of Technology)
• A thermodynamically consistent model for convective transport in nanofluids
  Eberhard Bänsch (Friedrich-Alexander-Universität Erlangen-Nürnberg)

Wednesday afternoon

• Optimality in computation
  Ronald DeVore (Texas A&M University)
• Virtual element approximation of eigenvalue problems
  Lucia Gastaldi (Università  degli Studi di Brescia)
• Error representation for variational problems and application to TV minimization
  Sören Bartels (Albert Ludwigs University of Freiburg)
• Stability and Convergence of machine learning algorithms
  Charalambos Makridakis (IACM-FORTH Crete and University of Sussex)
• Adaptivity for Hamilton-Jacobi equations
  Bernardo Cockburn (University of Minnesota)

Thursday morning

• Arbitrarily high order finite element methods for arbitrarily shaped domains with automatic mesh generation
  Zhiming Chen (Chinese Academy of Sciences)
• Higher-order adaptive virtual element methods
  Claudio Canuto (Politecnico di Torino)
• A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation
  Rob Stevenson (University of Amsterdam)
• Soap films and partial wetting
  Maurizio Paolini (Univ. Cattolica del Sacro Cuore di Brescia)

Thursday afternoon

• High order mixed finite element approximation of Stokes equations
  Mark Ainsworth (Brown University)
• Discontinuous Galerkin method for approximating the deformation of thin plates
  Diane Guignard (University of Ottawa)
• Least-squares Galerkin recovery methods for fully nonlinear elliptic equations
  Omar Lakkis (University of Sussex)
• Evolution of vector fields on flexible curves and surfaces
  Georg Dolzmann (Universität Regensburg)
• Finite element approximation of a membrane model for liquid crystal polymeric networks
  Lucas Bouck (University of Maryland)

Friday

• Evolution equations in spaces of probability measures
  Giuseppe Savare (Bocconi University)
• An adaptive finite element method with error-dominated oscillation
  Andreas Veeser (Università degli Studi di Milano)
• Discontinuous Galerkin time-stepping methods for nonlinear parabolic equations
  Georgios Akrivis (University of Ioannina)
• Approximation of parametric eigenvalue problems arising from partial differential equations
  Daniele Boffi (King Abdullah University of Science and Technology (KAUST))