POEMS – POlytopal Element Methods in Mathematics and Engineering

Venue	CIRM Marseille
Dates	29 April – 3 May 2019
Organising Committee	Paola Antonietti, Politecnico di Milano Lourenço Beirão da Veiga, Università di Milano Bicocca Daniele A. Di Pietro, Université de Montpellier Jérôme Droniou, Monash University Stella Krell, Université de Nice Sophia Antipolis
Scientific Committee	Franco Brezzi, IMATI CNR Pavia Alexandre Ern, École des Ponts ParisTech Raphaèle Herbin, Université d'Aix–Marseille Florence Hubert, Université d'Aix–Marseille Roland Masson, Université de Nice Sophia Antipolis
Sponsors	AMIES, ANR (grant ANR-15-CE40-0005), Australian Research Council (grant DP170100605), CNRS, EDF, Université de Montpellier, Université de Nice Sophia Antipolis
Previous editions	Milan (2017), Atlanta (2015), Milan (2012)

The study of numerical methods for the approximation of Partial Differential Equations on polygonal and polyhedral meshes is drawing the attention of an increasing number of researchers. Indeed, polytopal grids offer a very convenient framework to handle, for instance, hanging nodes, different cell shapes within the same mesh and nonmatching interfaces. Such a flexibility represents a powerful tool towards the efficient solution of problems with complex inclusions (as in geophysical applications) or posed on very complicated or possibly deformable geometries (as encountered in basin and reservoir simulations, in fluid-structure interaction, crack propagation or contact problems). In recent years, several discretization methods for polygonal and polyhedral meshes have been developed and there are strong connections among them. The aim of this Workshop is to bring together experts and young researchers in this field in order to discuss the most recent developments and to establish common grounds and shared goals. Particular attention will be paid to industrial applications of polyhedral methods, which will be discussed during a dedicated session.

Book of abstracts

Keynote presentations

Jérôme Bonelle, EDF R&D , Polyhedral discretizations for industrial applications [slides]

Susanne Brenner, Louisiana State University , Some New Estimates for Virtual Element Methods [slides]

Erik Burman, University College London , Hybrid High-Order methods for unfitted meshes [slides]

Claire Chainais-Hillairet, Université de Lille , A free energy diminishing DDFV scheme for convection-diffusion equations [slides]

Bernardo Cockburn, University of Minnesota , Superconvergence by M-decompositions [slides]

Robert Eymard, Université de Paris-Est , Gradient Discretisations – Tools and Applications [slides]

Jean-Claude Latché, IRSN , On kinetic energy preserving convection operators on general meshes [slides]

Donatella Marini, Università di Pavia , Applications of Virtual Elements [slides]

Ilaria Perugia, University of Vienna , Non standard virtual element methods for the Helmholtz problem [slides]

Alessandro Russo, University of Milano Bicocca , The Virtual Element Method for Polygons with Curved Edges [slides]

Peter Wriggers, Leibniz Universität Hannover , Virtual Elements for Finite Strain Problems in Plasticity

Standard presentations

Edoardo Artioli, University of Rome Tor Vergata , Asymptotic homogenization of random fibre-reinforced composites: a numerical approach based on virtual element technology and a posteriori error estimation

Stefano Berrone, Politecnico di Torino , Virtual Element Methods in subsurface simulations

Silvia Bertoluzza, IMATI CNR , Building geometrically robust stabilisation term for VEM

Stéphane Bordas, University of Louxembourg , Displacement-based formulations over star convex polytopes: strain smoothing and scaled boundary finite elements

Lorenzo Botti, Università di Bergamo , Multilevel solution strategies for dG and HHO discretizations [slides]

Andrea Cangiani, University of Nottingham , A posteriori error analysis and mesh adaptivity for Virtual Element Methods

Carsten Carstensen, Humboldt University Berlin , Skeletal schemes for eigenvalue localisation?

Heng Chi, Georgia Tech , Topology optimization with VEM

Alessandro Colombo, Università di Bergamo , On the development of an efficient order-adaptive DG method for the simulation of turbulent flows

Franco Dassi, University of Milano Bicocca , Divergence-free virtual element method for Stokes and Navier–Stokes problems [slides]

Daniele A. Di Pietro, Université de Montpellier , Hybrid High-Order methods for elasticity [slides]

Emmanuil Georgoulis, University of Leicester , Discontinuous Galerkin methods for curved elements

Andrew Gillette, University of Arizona , Basis construction techniques for serendipity-type spaces [slides]

Frank Hülsemann, EDF R&D , Impact of robust discretizations on linear solvers [slides]

Erell Jamelot, CEA Saclay , TrioCFD: code & numerical schemes [slides]

Simon Lemaire, INRIA Lille , A unified formulation and analysis of HHO and VE methods [slides]

Alexander Linke, WIAS Berlin , On pressure-robust space discretizations and incompressible high Reynolds number flows [slides]

Konstantin Lipnikov, Los Alamos National Laboratory , High-order remap methods on curvilinear meshes [slides]

Alexei Lozinski, Université de Franche-Comté , A primal discontinuous Galerkin method with static condensation on very general meshes [slides]

Gianmarco Manzini, Los Alamos National Laboratory , A unified framework for conforming and nonconforming virtual element methods

Ilario Mazzieri, Politecnico di Milano , A high-order discontinuous Galerkin approach to elasto-acoustic problems [slides]

Karol Mikula, University of Technology Bratislava , Finite volume level-set methods on polyhedral meshes

Kyungsoo Park, Yonsei University , Virtual Element Methods for Elastodynamic Problems with Explicit Time Integrations

Marco Verani, Politecnico di Milano , The conforming virtual element method for polyharmonic problems

Martin Vohralík, INRIA Paris and École des Ponts , A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows [slides]

Ivan Yotov, University of Pittsburgh , Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra [slides]

Posters

Dibyendu Adak, Indian Institute of Technology Madras

Laurence Beaude, Université Nice Sophia Antipolis

Michele Botti, Politecnico di Milano , Polynomial Chaos and Hybrid High-Order methods for poroelasticity with random coefficients [poster]

Konstantin Brenner, Université Nice Sophia Antipolis

Daniel Castanon Quiroz, Université de Montpellier , A Hybrid High-Order method for the incompressible Navier–Stokes problem robust for large irrotational body forces [poster]

Florent Chave, INRIA Lille-Nord Europe

Andrea Chiozzi, University of Ferrara

Julien Coulet, IFP Energies Nouvelles , Coupling Virtual Elements and Finite Volume Methods for Geomechanics [poster]

Alessandro D'Auria, Politecnico di Torino

André Harnist, Université de Montpellier , A Hybrid High-Order method for creeping flows of non-Newtonian fluids [poster]

Julian Hennicker, Université de Genève

Rekha Khot, Indian Institute of Technology Bombay

Hyeongtae Kim, Yonsei University

Giulia Lissoni, Université Nice Sophia Antipolis , DDFV method for Navier–Stokes problem with outflow boundary conditions [poster]

Sébastien Minjeaud, Université Nice Sophia Antipolis

Sundararajan Natarajan, Indian Institute of Technology Madras

Luca Patruno, University of Bologna

Alexander Pichler, University of Vienna

Daniele Prada, IMATI CNR

Houssaine Quenjel, Université Nice Sophia Antipolis

Michele Visinoni, University of Milano Bicocca