Numerical Mathematics and Advanced Applications ENUMATH 2017

✍ Scribed by Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 993
• Series: Lecture Notes in Computational Science and Engineering 126
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017. The conference was organized by the University of Bergen, Norway from September 25 to 29, 2017. Leading experts in the field presented the latest results and ideas in the designing, implementation, and analysis of numerical algorithms as well as their applications to relevant, societal problems.

ENUMATH is a series of conferences held every two years to provide a forum for discussing basic aspects and new trends in numerical mathematics and scientific and industrial applications. These discussions are upheld at the highest level of international expertise. The first ENUMATH conference was held in Paris in 1995 with successive conferences being held at various locations across Europe, including Heidelberg (1997), Jyvaskyla (1999), lschia Porto (2001), Prague (2003), Santiago de Compostela (2005), Graz (2007), Uppsala (2009), Leicester (2011), Lausanne (2013), and Ankara (2015).

✦ Table of Contents

Front Matter ....Pages i-xviii
Front Matter ....Pages 1-1
PDE Apps for Acoustic Ducts: A Parametrized Component-to-System Model-Order-Reduction Approach (Jonas Ballani, Phuong Huynh, David Knezevic, Loi Nguyen, Anthony T. Patera)....Pages 3-33
Sub-voxel Perfusion Modeling in Terms of Coupled 3d-1d Problem (Karl Erik Holter, Miroslav Kuchta, Kent-André Mardal)....Pages 35-47
Iterative Linearisation Schemes for Doubly Degenerate Parabolic Equations (Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten, Iuliu Sorin Pop, Florin Adrian Radu)....Pages 49-63
Mathematics and Medicine: How Mathematics, Modelling and Simulations Can Lead to Better Diagnosis and Treatments (Erik A. Hanson, Erlend Hodneland, Rolf J. Lorentzen, Geir Nævdal, Jan M. Nordbotten, Ove Sævareid et al.)....Pages 65-80
Front Matter ....Pages 81-81
Convergence of Multilevel Stationary Gaussian Convolution (Simon Hubbert, Jeremy Levesley)....Pages 83-92
Anisotropic Weights for RBF-PU Interpolation with Subdomains of Variable Shapes (R. Cavoretto, A. De Rossi, G. E. Fasshauer, M. J. McCourt, E. Perracchione)....Pages 93-101
Radial Basis Function Approximation Method for Pricing of Basket Options Under Jump Diffusion Model (Ali Safdari-Vaighani)....Pages 103-112
Greedy Algorithms for Matrix-Valued Kernels (Dominik Wittwar, Bernard Haasdonk)....Pages 113-121
GPU Optimization of Large-Scale Eigenvalue Solver (Pavel Kůs, Hermann Lederer, Andreas Marek)....Pages 123-131
Front Matter ....Pages 133-133
On the Efficiency of the Peaceman–Rachford ADI-dG Method for Wave-Type Problems (Marlis Hochbruck, Jonas Köhler)....Pages 135-144
Trefftz-Discontinuous Galerkin Approach for Solving Elastodynamic Problem (Hélène Barucq, Henri Calandra, Julien Diaz, Elvira Shishenina)....Pages 145-153
Front Matter ....Pages 155-155
FETI-DP Preconditioners for the Virtual Element Method on General 2D Meshes (Daniele Prada, Silvia Bertoluzza, Micol Pennacchio, Marco Livesu)....Pages 157-164
Modeling Flow and Transport in Fractured Media by a Hybrid Finite Volume: Finite Element Method (Alexey Chernyshenko, Maxim Olshanskii)....Pages 165-172
A Cut Cell Hybrid High-Order Method for Elliptic Problems with Curved Boundaries (Erik Burman, Alexandre Ern)....Pages 173-181
A Cut Finite Element Method with Boundary Value Correction for the Incompressible Stokes Equations (Erik Burman, Peter Hansbo, Mats G. Larson)....Pages 183-192
Numerical Integration on Hyperrectangles in Isoparametric Unfitted Finite Elements (Fabian Heimann, Christoph Lehrenfeld)....Pages 193-202
Front Matter ....Pages 203-203
On a Generalization of Neumann Series of Bessel Functions Using Hessenberg Matrices and Matrix Exponentials (A. Koskela, E. Jarlebring)....Pages 205-214
Influence of the SIPG Penalisation on the Numerical Properties of Linear Systems for Elastic Wave Propagation (Uwe Köcher)....Pages 215-223
Function-Based Algebraic Multigrid Method for the 3D Poisson Problem on Structured Meshes (Ali Dorostkar)....Pages 225-233
Front Matter ....Pages 235-235
Mathematical Modelling of Phenotypic Selection Within Solid Tumours (Mark A. J. Chaplain, Tommaso Lorenzi, Alexander Lorz, Chandrasekhar Venkataraman)....Pages 237-245
Uncertainty Assessment of a Hybrid Cell-Continuum Based Model for Wound Contraction (Fred Vermolen)....Pages 247-255
Front Matter ....Pages 257-257
The Discrete Relations Between Fields and Potentials with High Order Whitney Forms (Ana M. Alonso Rodríguez, Francesca Rapetti)....Pages 259-267
Model Order Reduction of an Elastic Body Under Large Rigid Motion (Ashish Bhatt, Jörg Fehr, Bernard Haasdonk)....Pages 269-277
On Surface Area and Length Preserving Flows of Closed Curves on a Given Surface (Miroslav Kolář, Michal Beneš, Daniel Ševčovič)....Pages 279-287
Derivation of Higher-Order Terms in FFT-Based Numerical Homogenization (Felix Dietrich, Dennis Merkert, Bernd Simeon)....Pages 289-297
Front Matter ....Pages 299-299
A Least-Squares Method for a Monge-Ampère Equation with Non-quadratic Cost Function Applied to Optical Design (N. K. Yadav, J. H. M. ten Thije Boonkkamp, W. L. IJzerman)....Pages 301-309
Solving Inverse Illumination Problems with Liouville’s Equation (Bart S. van Lith, Jan H. M. ten Thije Boonkamp, Wilbert L. IJzerman)....Pages 311-319
Front Matter ....Pages 321-321
Strong vs. Weak Symmetry in Stress-Based Mixed Finite Element Methods for Linear Elasticity (Bernhard Kober, Gerhard Starke)....Pages 323-333
Evolution of Load-Bearing Structures with Phase Field Modeling (Ingo Muench)....Pages 335-343
An Accelerated Newton Method for Nonlinear Materials in Structure Mechanics and Fluid Mechanics (Thomas Richter, Carolin Mehlmann)....Pages 345-353
Front Matter ....Pages 355-355
Best Error Localizations for Piecewise Polynomial Approximation of Gradients, Functions and Functionals (Andreas Veeser)....Pages 357-365
Adaptive Discontinuous Galerkin Methods for Flow in Porous Media (Birane Kane, Robert Klöfkorn, Andreas Dedner)....Pages 367-378
An Adaptive E-Scheme for Conservation Laws (Ebise A. Abdi, Christian V. Hansen, H. Joachim Schroll)....Pages 379-387
Adaptive Filtered Schemes for First Order Hamilton-Jacobi Equations (Maurizio Falcone, Giulio Paolucci, Silvia Tozza)....Pages 389-398
Goal-Oriented a Posteriori Error Estimates in Nearly Incompressible Linear Elasticity (Dustin Kumor, Andreas Rademacher)....Pages 399-406
Nitsche’s Method for the Obstacle Problem of Clamped Kirchhoff Plates (Tom Gustafsson, Rolf Stenberg, Juha Videman)....Pages 407-415
Front Matter ....Pages 417-417
Stochastic B-Series and Order Conditions for Exponential Integrators (Alemayehu Adugna Arara, Kristian Debrabant, Anne Kværnø)....Pages 419-427
What Is a Post-Lie Algebra and Why Is It Useful in Geometric Integration (Charles Curry, Kurusch Ebrahimi-Fard, Hans Munthe-Kaas)....Pages 429-437
On Non-commutative Stochastic Exponentials (Charles Curry, Kurusch Ebrahimi-Fard, Frédéric Patras)....Pages 439-447
Front Matter ....Pages 449-449
An Introduction to the Gradient Discretisation Method (Jérôme Droniou, Robert Eymard, Thierry Gallouët, Cindy Guichard, Raphaèle Herbin)....Pages 451-459
Quasi-Optimal Nonconforming Methods for Second-Order Problems on Domains with Non-Lipschitz Boundary (Andreas Veeser, Pietro Zanotti)....Pages 461-469
Convergence of Adaptive Finite Element Methods with Error-Dominated Oscillation (Christian Kreuzer, Andreas Veeser)....Pages 471-479
Finite Element Methods for Parabolic Problems with Time-Dependent Domains: Application to a Milling Simulation (Carsten Niebuhr, Alfred Schmidt)....Pages 481-489
Front Matter ....Pages 491-491
Numerical Investigation of the Conditioning for Plane Wave Discontinuous Galerkin Methods (Scott Congreve, Joscha Gedicke, Ilaria Perugia)....Pages 493-500
The Virtual Element Method for the Transport of Passive Scalars in Discrete Fracture Networks (S. Berrone, M. F. Benedetto, Andrea Borio, S. Pieraccini, S. Scialò)....Pages 501-508
On the Implementation of a Multiscale Hybrid High-Order Method (Matteo Cicuttin, Alexandre Ern, Simon Lemaire)....Pages 509-517
VEM for the Reissner-Mindlin Plate Based on the MITC Approach: The Element of Degree 2 (Claudia Chinosi)....Pages 519-527
Front Matter ....Pages 529-529
DGM for the Solution of Nonlinear Dynamic Elasticity (Miloslav Feistauer, Martin Hadrava, Jaromír Horáček, Adam Kosík)....Pages 531-540
Higher Order Space-Time Elements for a Non-linear Biot Model (Manuel Borregales, Florin Adrian Radu)....Pages 541-549
Iterative Coupling of Mixed and Discontinuous Galerkin Methods for Poroelasticity (Markus Bause)....Pages 551-560
Stability of Higher-Order ALE-STDGM for Nonlinear Problems in Time-Dependent Domains (Monika Balázsová, Miloslav Vlasák)....Pages 561-570
Front Matter ....Pages 571-571
Implementation of Mixed-Dimensional Models for Flow in Fractured Porous Media (Eirik Keilegavlen, Alessio Fumagalli, Runar Berge, Ivar Stefansson)....Pages 573-580
Fast Matrix-Free Evaluation of Hybridizable Discontinuous Galerkin Operators (Martin Kronbichler, Katharina Kormann, Wolfgang A. Wall)....Pages 581-589
Front Matter ....Pages 591-591
Numerical Benchmarking for 3D Multiphase Flow: New Results for a Rising Bubble (Stefan Turek, Otto Mierka, Kathrin Bäumler)....Pages 593-601
A Linear Domain Decomposition Method for Two-Phase Flow in Porous Media (David Seus, Florin A. Radu, Christian Rohde)....Pages 603-614
A Numerical Method for an Inverse Problem Arising in Two-Phase Fluid Flow Transport Through a Homogeneous Porous Medium (Aníbal Coronel, Richard Lagos, Pep Mulet, Mauricio Sepúlveda)....Pages 615-623
A Fully-Implicit, Iterative Scheme for the Simulation of Two-Phase Flow in Porous Media (Anna Kvashchuk, Florin Adrian Radu)....Pages 625-633
Mass Lumping for MHFEM in Two Phase Flow Problems in Porous Media (Jakub Solovský, Radek Fučík)....Pages 635-643
Uncertainty Quantification in Injection and Soil Characteristics for Biot’s Poroelasticity Model (Menel Rahrah, Fred Vermolen)....Pages 645-652
Reactivation of Fractures in Subsurface Reservoirs—A Numerical Approach Using a Static-Dynamic Friction Model (Runar L. Berge, Inga Berre, Eirik Keilegavlen)....Pages 653-660
Front Matter ....Pages 661-661
POD-Based Economic Model Predictive Control for Heat-Convection Phenomena (Luca Mechelli, Stefan Volkwein)....Pages 663-671
Real-Time Optimization of Thermal Ablation Cancer Treatments (Zoi Tokoutsi, Martin Grepl, Karen Veroy, Marco Baragona, Ralph Maessen)....Pages 673-681
Parametric Model Reduction via Interpolating Orthonormal Bases (Ralf Zimmermann, Kristian Debrabant)....Pages 683-691
A Spectral Element Reduced Basis Method in Parametric CFD (Martin W. Hess, Gianluigi Rozza)....Pages 693-701
POD for Optimal Control of the Cahn-Hilliard System Using Spatially Adapted Snapshots (Carmen Gräßle, Michael Hinze, Nicolas Scharmacher)....Pages 703-711
Front Matter ....Pages 713-713
New Strategies for the Simulationof the Flow in Three Dimensional Poro-Fractured Media (Stefano Berrone, Andrea Borio, Sandra Pieraccini, Stefano Scialò)....Pages 715-723
The Virtual Element Method on Anisotropic Polygonal Discretizations (Paola F. Antonietti, Stefano Berrone, Marco Verani, Steffen Weißer)....Pages 725-733
Front Matter ....Pages 735-735
On Zlámal Minimum Angle Condition for the Longest-Edge n-Section Algorithm with n ≥ 4 (Sergey Korotov, Ángel Plaza, José P. Suárez, Tania Moreno)....Pages 737-742
Adaptive Solution of a Singularly-Perturbed Convection-Diffusion Problem Using a Stabilized Mixed Finite Element Method (María González, Magdalena Strugaru)....Pages 743-751
Spaces of Simplicial Shapes (Jon Eivind Vatne)....Pages 753-760
Simplicial Vertex-Normal Duality with Applications to Well-Centered Simplices (Jan Brandts, Michal Křížek)....Pages 761-768
Maximum Angle Condition for n-Dimensional Simplicial Elements (Antti Hannukainen, Sergey Korotov, Michal Křížek)....Pages 769-775
Front Matter ....Pages 777-777
An Oscillation-Free Finite Volume Method for Poroelasticity (Massimiliano Ferronato, Herminio T. Honorio, Carlo Janna, Clovis R. Maliska)....Pages 779-787
Numerical Investigation on the Fixed-Stress Splitting Scheme for Biot’s Equations: Optimality of the Tuning Parameter (Jakub W. Both, Uwe Köcher)....Pages 789-797
Numerical Simulation of Biofilm Formation in a Microchannel (David Landa-Marbán, Iuliu Sorin Pop, Kundan Kumar, Florin A. Radu)....Pages 799-807
Numerical Methods for Biomembranes Based on Piecewise Linear Surfaces (John P. Brogan, Yilin Yang, Thomas P. -Y. Yu)....Pages 809-817
Heavy Metals Phytoremediation: First Mathematical Modelling Results (Aurea Martínez, Lino J. Alvarez-Vázquez, Carmen Rodríguez, Miguel E. Vázquez-Méndez, Miguel A. Vilar)....Pages 819-827
Urban Heat Island Effect in Metropolitan Areas: An Optimal Control Perspective (Lino J. Alvarez-Vázquez, Francisco J. Fernández, Aurea Martínez, Miguel E. Vázquez-Méndez)....Pages 829-837
Nitsche-Based Finite Element Method for Contact with Coulomb Friction (Franz Chouly, Patrick Hild, Vanessa Lleras, Yves Renard)....Pages 839-847
Electrically Driven MHD Flow Between Two Parallel Slipping and Partly Conducting Infinite Plates (Munevver Tezer-Sezgin, Pelin Senel)....Pages 849-858
Two Methods for the Numerical Modelling of the PM Transport and Deposition on the Vegetation (Luděk Beneš, Hynek Řezníček)....Pages 859-867
On a New Mixed Formulation of Kirchhoff Plates on Curvilinear Polygonal Domains (Katharina Rafetseder, Walter Zulehner)....Pages 869-877
Front Matter ....Pages 879-879
POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena (Stefan Banholzer, Eugen Makarov, Stefan Volkwein)....Pages 881-888
Greedy Kernel Methods for Accelerating Implicit Integrators for Parametric ODEs (Tim Brünnette, Gabriele Santin, Bernard Haasdonk)....Pages 889-896
Front Matter ....Pages 897-897
Third-Order Limiter Functions on Non-equidistant Grids (Birte Schmidtmann, Manuel Torrilhon)....Pages 899-907
A Linearity Preserving Algebraic Flux Correction Scheme of Upwind Type Satisfying the Discrete Maximum Principle on Arbitrary Meshes (Petr Knobloch)....Pages 909-918
Front Matter ....Pages 919-919
Optimized Schwarz Methods for Advection Diffusion Equations in Bounded Domains (Martin J. Gander, Tommaso Vanzan)....Pages 921-929
Optimal Coarse Spaces for FETI and Their Approximation (Faycal Chaouqui, Martin J. Gander, Kévin Santugini-Repiquet)....Pages 931-939
Coupling MPC and HJB for the Computation of POD-Based Feedback Laws (Giulia Fabrini, Maurizio Falcone, Stefan Volkwein)....Pages 941-949
Adaptive Multiple Shooting for Nonlinear Boundary Value Problems (Thomas Carraro, Michael Ernst Geiger)....Pages 951-959
Front Matter ....Pages 961-961
Exponential Scaling and the Time Growth of the Error of DG for Advection-Reaction Problems (Václav Kučera, Chi-Wang Shu)....Pages 963-971
Maximum Norm Estimates for Energy-Corrected Finite Element Method (Piotr Swierczynski, Barbara Wohlmuth)....Pages 973-981
Digital Operators, Discrete Equations and Error Estimates (Alexander Vasilyev, Vladimir Vasilyev)....Pages 983-991
A Simple Boundary Approximation for the Non-symmetric Coupling of the Finite Element Method and the Boundary Element Method for Parabolic-Elliptic Interface Problems (Christoph Erath, Robert Schorr)....Pages 993-1001
Front Matter ....Pages 1003-1003
Galerkin Projection and Numerical Integration for a Stochastic Investigation of the Viscous Burgers’ Equation: An Initial Attempt (Markus Wahlsten, Jan Nordström)....Pages 1005-1013
Nonlinear Flux Approximation Scheme for Burgers Equation Derived from a Local BVP (J. H. M. ten Thije Boonkkamp, N. Kumar, B. Koren, D. A. M. van der Woude, A. Linke)....Pages 1015-1023
A Spectral Solenoidal-Galerkin Method for Flow Past a Circular Cylinder (Hakan I. Tarman)....Pages 1025-1033
Conservative Mimetic Cut-Cell Method for Incompressible Navier-Stokes Equations (René Beltman, Martijn Anthonissen, Barry Koren)....Pages 1035-1043
Back Matter ....Pages 1045-1070

✦ Subjects

Mathematics; Computational Science and Engineering; Partial Differential Equations; Numerical Analysis; Mathematics of Computing