Mafelap 2016
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MAFELAP 2016 Conference on the Mathematics of Finite Elements and Applications 14–17 June 2016 Abstracts MAFELAP 2016 The organisers of MAFELAP 2016 are pleased to ac- knowledge the financial support given to the confer- ence by the Institute of Mathematics and its Appli- cations (IMA) in the form of IMA Studentships, and the financial support from Brunel University London for the Tuesday evening showcase event. Contents of the MAFELAP 2016 Abstracts Alphabetical order by the speaker Finite element approximations for a fractional Laplace equation Gabriel Acosta and Juan Pablo Borthagaray Mini-Symposium: Elliptic problems with singularities . ....1 A Mixed-Method B-Field Finite-Element Formulation for Incompressible, Resistive Magnetohydrodynamics James H. Adler, Thomas Benson and Scott P. MacLachlan Mini-Symposium: Advances in Finite Element Methods for Nonlinear Mate- rials ................................................ ...............................2 Fitted ALE scheme for Two-Phase Navier–Stokes Flow Marco Agnese and Robert N¨urnberg Parallel session....................................... ....................3 An isogeometric approach to symmetric Galerkin boundary element method Alessandra Aimi, Mauro Diligenti, Maria Lucia Sampoli, and Alessandra Sestini Mini-Symposium: Recent developments in isogeometric analysis . .....3 High order finite elements: mathematician’s playground or practical engineering tool? Mark Ainsworth INVITED LECTURE..................................... ...............4 High-Order Discontinuous Galerkin methods in time for the Wave equation Fatima Al-Shanfari Mini-Symposium: Space-time discretization methods . .........5 Improved Arlequin method for the Helmholtz equation in 2D J. Albella, H. Ben Dhia, S. Imperiale and J. Rodr´ıguez Mini-Symposium: Numerical methods for multiphysics and coupled problems ................................................... ................................6 Rate-dependent cohesive-zone models based on fractional viscoelasticity Giulio Alfano and Marco Musto Mini-Symposium: Numerical methods for fractional differential equations .7 A posteriori error analysis for a viscous flow–transport problem Mario Alvarez, Gabriel N. Gatica and Ricardo Ruiz-Baier Mini-Symposium: Numerical methods for viscous flow in porous media . ..8 Agglomeration-based multigrid algorithms for high order Discontinuous Galerkin meth- ods Paola F. Antonietti, Paul Houston, Marco Sarti and Marco Verani Mini-Symposium: PDE discretisation methods for polygonal and polyhedral meshes............................................. ...............................9 i High-order discontinuous Galerkin approximations to second-order ordinary differential equations with applications to elastodynamics Paola F. Antonietti, Niccolo Dal Santo, Ilario Mazzieri and Alfio Quarteroni Mini-Symposium: Galerkin Methods for Nonlinear Evolution Problems . 10 Finite elements for a class of phase transition problems with noise Dimitra C. Antonopoulou Mini-Symposium: Adaptive methods and singular solutions of nonlinear prob- lems................................................ ..............................10 Discretization error estimates for Dirichlet control problems in polygonal domains Thomas Apel, Mariano Mateos, Johannes Pfefferer and Arnd R¨osch Mini-Symposium: A priori finite element error estimates in optimal control11 A multiscale hybrid-mixed method for the Stokes and Brinkman equations Rodolfo Araya, Christopher Harder, Abner Poza and Fr´ed´eric Valentin Mini-Symposium: Developments in locally conservative conforming methods for elliptic partial differential equations . ......................12 New mixed finite elements on quadrilaterals of minimal dimension Todd Arbogast and Maicon R. Correa Mini-Symposium: Developments in locally conservative conforming methods for elliptic partial differential equations . ......................13 Estimating errors in quantities of interest in the case of hyperelastic membrane defor- mation Eleni Argyridou Parallel session....................................... ...................14 Elliptic problems in a non-Lipschitz domain Mar´ıaGabriela Armentano Mini-Symposium: Elliptic problems with singularities . ...15 Computing spectra without solving eigenvalue problems Douglas N. Arnold BABUSKAˇ LECTURE ......................................... ........16 Virtual modeling and additive manufacturing (3D printing) for advanced materials (3D@UniPV): a new research arena Ferdinando Auricchio INVITED LECTURE..................................... ..............17 Local bounded cochain projections on cubical meshes Gerard Awanou Mini-Symposium: Developments in locally conservative conforming methods for elliptic partial differential equations . ......................17 Standard finite elements for the numerical resolution of the elliptic Monge-Amp`ere equation ii Gerard Awanou Mini-Symposium: Adaptive methods and singular solutions of nonlinear prob- lems................................................ ..............................18 Saddle point least squares approaches to mixed formulations Constantin Bacuta and Klajdi Qirko Mini-Symposium: Multilevel Methods for Saddle Point Problems . ..18 Monotonicity preserving nonlinear stabilization for hyperbolic scalar problems Santiago Badia and Jes´us Bonilla Mini-Symposium: Finite element methods for convection-dominated problems ................................................... ...............................19 Stability analysis of the space-time discontinuous Galerkin method for nonstationary problems in time-dependent domains Monika Bal´azsov´a Mini-Symposium: Finite element methods for PDEs in time-dependent do- mains ............................................... .............................20 An hp-Adaptive C0-Interior Penalty Method for the Obstacle Problem of Clamped Kirchhoff Plates Lothar Banz, Bishnu P. Lamichhane and Ernst P. Stephan Mini-Symposium: A posteriori error estimation and adaptivity . .....21 Cross-diffusion systems for image processing Ad´erito Ara´ujo, S´ılvia Barbeiro, Eduardo Cuesta and Angel´ Dur´an Parallel session....................................... ...................22 Stable and stabilised finite element methods on anisotropic meshes Gabriel R. Barrenechea Mini-Symposium: Stable FEMs with applications . .....23 Nonlinear edge diffusion methods: link to AFC schemes and adaptivity Gabriel R. Barrenechea Mini-Symposium: Finite element methods for convection-dominated problems ................................................... ...............................23 Adaptive approximation of the Monge-Kantorovich problem S¨oren Bartels and Patrick Sch¨on Mini-Symposium: Adaptive methods and singular solutions of nonlinear prob- lems................................................ ..............................24 Space-Time Finite Element Approximation of Flow in Deformable Porous Media Markus Bause and Uwe K¨ocher Mini-Symposium: Higher order space-time finite element methods . ....24 Divergence free Virtual Elements for the Stokes problem Louren¸co Beir˜ao da Veiga, C. Lovadina and G. Vacca iii Mini-Symposium: PDE discretisation methods for polygonal and polyhedral meshes............................................. ..............................25 Preparing for the Future of Computing: Bridging Scales within the Exascale Materials Co-design Center James Belak INVITED LECTURE..................................... ..............26 Geometric multigrid with operator-dependent coarse spaces Thomas R. Benson and Panayot Vassilevski Mini-Symposium: Advances in Finite Element Methods for Nonlinear Mate- rials ................................................ ..............................27 A Nitsche-type method for Helmholtz equation with an embedded, acoustically per- meable interface Martin Berggren, Esubalewe L. Yedeg, Peter Hansbo, Mats G. Larson and Ed- die Wadbro Mini-Symposium: Finite element techniques for interface-problems . .....28 Least-Squares Method in relation to Mixed Finite Elements for Elasticity F. Bertrand, Gerhard Starke and Z. Cai Mini-Symposium: Advances in Finite Element Methods for Nonlinear Mate- rials ................................................ ..............................29 A posteriori analysis for Maxwell’s eigenvalue problem Daniele Boffi Mini-Symposium: PDE Eigenvalue problems: computational modeling and numerical analysis ..................................... ..........................30 High order edge elements and domain decomposition preconditioning for the time- harmonic Maxwell’s equations Marcella Bonazzoli, Victorita Dolean, Francesca Rapetti and Pierre-Henri Tournier Mini-Symposium: Recent advances in domain decomposition methods . ..31 Adaptive finite element methods for the Laplace-Beltrami operator Andrea Bonito Mini-Symposium: Adaptive methods and singular solutions of nonlinear prob- lems................................................ ..............................32 Optimality of adaptive finite element methods for eigenvalue clusters Andrea Bonito and Alan Demlow Mini-Symposium: PDE Eigenvalue problems: computational modeling and numerical analysis ..................................... ..........................32 Large deformations of bilayer plates Andrea Bonito, Soeren Bartels and Ricardo H. Nochetto Mini-Symposium: Numerical methods for fourth order problems . ......33 iv Robust Discretization of Flow in Fractured Porous Media Wietse M. Boon and Jan M. Nordbotten Mini-Symposium: Developments in locally conservative conforming methods for elliptic partial differential equations