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Numerical mathematics and advanced applications. ENUMATH 2017. Selected papers based on the presentations at the European conference, Bergen, Norway, September 25–29, 2017. (English) Zbl 1411.65009
Lecture Notes in Computational Science and Engineering 126. Cham: Springer (ISBN 978-3-319-96414-0/hbk; 978-3-319-96415-7/ebook). xviii, 1060 p. (2018).

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Publisher’s description: 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).
The articles of this volume will be reviewed individually.
Indexed articles:
Ballani, Jonas; Huynh, Phuong; Knezevic, David; Nguyen, Loi; Patera, Anthony T., PDE apps for acoustic ducts: a parametrized component-to-system model-order-reduction approach, 3-33 [Zbl 1435.65011]
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-André, Sub-voxel perfusion modeling in terms of coupled \(3d\)-\(1d\) problem, 35-47 [Zbl 1427.65167]
Both, Jakub Wiktor; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Iuliu Sorin; Radu, Florin Adrian, Iterative linearisation schemes for doubly degenerate parabolic equations, 49-63 [Zbl 1427.65237]
Hanson, Erik A.; Hodneland, Erlend; Lorentzen, Rolf J.; Nævdal, Geir; Nordbotten, Jan M.; Sævareid, Ove; Zanna, Antonella, Mathematics and medicine: how mathematics, modelling and simulations can lead to better diagnosis and treatments, 65-80 [Zbl 1427.92053]
Hubbert, Simon; Levesley, Jeremy, Convergence of multilevel stationary Gaussian convolution, 83-92 [Zbl 07136695]
Cavoretto, R.; De Rossi, A.; Fasshauer, G. E.; McCourt, M. J.; Perracchione, E., Anisotropic weights for RBF-PU interpolation with subdomains of variable shapes, 93-101 [Zbl 07136696]
Safdari-Vaighani, Ali, Radial basis function approximation method for pricing of basket options under jump diffusion model, 103-112 [Zbl 1427.91298]
Wittwar, Dominik; Haasdonk, Bernard, Greedy algorithms for matrix-valued kernels, 113-121 [Zbl 07136698]
Kůs, Pavel; Lederer, Hermann; Marek, Andreas, GPU optimization of large-scale eigenvalue solver, 123-131 [Zbl 07136699]
Hochbruck, Marlis; Köhler, Jonas, On the efficiency of the Peaceman-Rachford ADI-dG method for wave-type problems, 135-144 [Zbl 1427.65166]
Barucq, Hélène; Calandra, Henri; Diaz, Julien; Shishenina, Elvira, Trefftz-discontinuous Galerkin approach for solving elastodynamic problem, 145-153 [Zbl 1425.74449]
Prada, Daniele; Bertoluzza, Silvia; Pennacchio, Micol; Livesu, Marco, FETI-DP preconditioners for the virtual element method on general 2D meshes, 157-164 [Zbl 1427.65376]
Chernyshenko, Alexey; Olshanskii, Maxim, Modeling flow and transport in fractured media by a hybrid finite volume: finite element method, 165-172 [Zbl 1425.76160]
Burman, Erik; Ern, Alexandre, A cut cell hybrid high-order method for elliptic problems with curved boundaries, 173-181 [Zbl 1427.65350]
Burman, Erik; Hansbo, Peter; Larson, Mats G., A cut finite element method with boundary value correction for the incompressible Stokes equations, 183-192 [Zbl 1425.76133]
Heimann, Fabian; Lehrenfeld, Christoph, Numerical integration on hyperrectangles in isoparametric unfitted finite elements, 193-202 [Zbl 1427.65364]
Koskela, A.; Jarlebring, E., On a generalization of Neumann series of Bessel functions using Hessenberg matrices and matrix exponentials, 205-214 [Zbl 1428.33013]
Köcher, Uwe, Influence of the SIPG penalisation on the numerical properties of linear systems for elastic wave propagation, 215-223 [Zbl 1425.74476]
Dorostkar, Ali, Function-based algebraic multigrid method for the 3D Poisson problem on structured meshes, 225-233 [Zbl 1427.65402]
Chaplain, Mark A. J.; Lorenzi, Tommaso; Lorz, Alexander; Venkataraman, Chandrasekhar, Mathematical modelling of phenotypic selection within solid tumours, 237-245 [Zbl 1427.65241]
Vermolen, Fred, Uncertainty assessment of a hybrid cell-continuum based model for wound contraction, 247-255 [Zbl 1427.65265]
Rodríguez, Ana M. Alonso; Rapetti, Francesca, The discrete relations between fields and potentials with high order Whitney forms, 259-267 [Zbl 1427.65377]
Bhatt, Ashish; Fehr, Jörg; Haasdonk, Bernard, Model order reduction of an elastic body under large rigid motion, 269-277 [Zbl 1425.74453]
Kolář, Miroslav; Beneš, Michal; Ševčovič, Daniel, On surface area and length preserving flows of closed curves on a given surface, 279-287 [Zbl 1428.53106]
Dietrich, Felix; Merkert, Dennis; Simeon, Bernd, Derivation of higher-order terms in FFT-based numerical homogenization, 289-297 [Zbl 07136715]
Yadav, N. K.; ten Thije Boonkkamp, J. H. M.; IJzerman, W. L., A least-squares method for a Monge-Ampère equation with non-quadratic cost function applied to optical design, 301-309 [Zbl 07136716]
van Lith, Bart S.; ten Thije Boonkamp, Jan H. M.; IJzerman, Wilbert L., Solving inverse illumination problems with Liouville’s equation, 311-319 [Zbl 1425.78004]
Kober, Bernhard; Starke, Gerhard, Strong vs. weak symmetry in stress-based mixed finite element methods for linear elasticity, 323-333 [Zbl 1425.74475]
Muench, Ingo, Evolution of load-bearing structures with phase field modeling, 335-343 [Zbl 1425.74482]
Richter, Thomas; Mehlmann, Carolin, An accelerated Newton method for nonlinear materials in structure mechanics and fluid mechanics, 345-353 [Zbl 1432.76166]
Veeser, Andreas, Best error localizations for piecewise polynomial approximation of gradients, functions and functionals, 357-365 [Zbl 07136721]
Kane, Birane; Klöfkorn, Robert; Dedner, Andreas, Adaptive discontinuous Galerkin methods for flow in porous media, 367-378 [Zbl 1425.76140]
Abdi, Ebise A.; Hansen, Christian V.; Schroll, H. Joachim, An adaptive E-scheme for conservation laws, 379-387 [Zbl 1425.76170]
Falcone, Maurizio; Paolucci, Giulio; Tozza, Silvia, Adaptive filtered schemes for first order Hamilton-Jacobi equations, 389-398 [Zbl 1427.65160]
Kumor, Dustin; Rademacher, Andreas, Goal-oriented a posteriori error estimates in nearly incompressible linear elasticity, 399-406 [Zbl 1425.74480]
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha, Nitsche’s method for the obstacle problem of clamped Kirchhoff plates, 407-415 [Zbl 1425.74463]
Arara, Alemayehu Adugna; Debrabant, Kristian; Kværnø, Anne, Stochastic B-series and order conditions for exponential integrators, 419-427 [Zbl 1431.65106]
Curry, Charles; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans, What is a post-Lie algebra and why is it useful in geometric integration, 429-437 [Zbl 1431.65236]
Curry, Charles; Ebrahimi-Fard, Kurusch; Patras, Frédéric, On non-commutative stochastic exponentials, 439-447 [Zbl 07136729]
Droniou, Jérôme; Eymard, Robert; Gallouët, Thierry; Guichard, Cindy; Herbin, Raphaèle, An introduction to the gradient discretisation method, 451-459 [Zbl 1427.65358]
Veeser, Andreas; Zanotti, Pietro, Quasi-optimal nonconforming methods for second-order problems on domains with non-Lipschitz boundary, 461-469 [Zbl 1427.65380]
Kreuzer, Christian; Veeser, Andreas, Convergence of adaptive finite element methods with error-dominated oscillation, 471-479 [Zbl 1427.65368]
Niebuhr, Carsten; Schmidt, Alfred, Finite element methods for parabolic problems with time-dependent domains: application to a milling simulation, 481-489 [Zbl 1427.65254]
Congreve, Scott; Gedicke, Joscha; Perugia, Ilaria, Numerical investigation of the conditioning for plane wave discontinuous Galerkin methods, 493-500 [Zbl 1427.65355]
Berrone, S.; Benedetto, M. F.; Borio, Andrea; Pieraccini, S.; Scialò, S., The virtual element method for the transport of passive scalars in discrete fracture networks, 501-508 [Zbl 1425.76129]
Cicuttin, Matteo; Ern, Alexandre; Lemaire, Simon, On the implementation of a multiscale hybrid high-order method, 509-517 [Zbl 1456.65158]
Chinosi, Claudia, VEM for the Reissner-Mindlin plate based on the MITC approach: the element of degree 2, 519-527 [Zbl 1425.74457]
Feistauer, Miloslav; Hadrava, Martin; Horáček, Jaromír; Kosík, Adam, DGM for the solution of nonlinear dynamic elasticity, 531-540 [Zbl 1425.76135]
Borregales, Manuel; Radu, Florin Adrian, Higher order space-time elements for a non-linear Biot model, 541-549 [Zbl 1425.76131]
Bause, Markus, Iterative coupling of mixed and discontinuous Galerkin methods for poroelasticity, 551-560 [Zbl 1425.76127]
Balázsová, Monika; Vlasák, Miloslav, Stability of higher-order ALE-STDGM for nonlinear problems in time-dependent domains, 561-570 [Zbl 1425.74448]
Keilegavlen, Eirik; Fumagalli, Alessio; Berge, Runar; Stefansson, Ivar, Implementation of mixed-dimensional models for flow in fractured porous media, 573-580 [Zbl 1425.76141]
Kronbichler, Martin; Kormann, Katharina; Wall, Wolfgang A., Fast matrix-free evaluation of hybridizable discontinuous Galerkin operators, 581-589 [Zbl 1427.65369]
Turek, Stefan; Mierka, Otto; Bäumler, Kathrin, Numerical benchmarking for 3D multiphase flow: new results for a rising bubble, 593-601 [Zbl 1427.76149]
Seus, David; Radu, Florin A.; Rohde, Christian, A linear domain decomposition method for two-phase flow in porous media, 603-614 [Zbl 1425.76192]
Coronel, Aníbal; Lagos, Richard; Mulet, Pep; Sepúlveda, Mauricio, A numerical method for an inverse problem arising in two-phase fluid flow transport through a homogeneous porous medium, 615-623 [Zbl 1425.76161]
Kvashchuk, Anna; Radu, Florin Adrian, A fully-implicit, iterative scheme for the simulation of two-phase flow in porous media, 625-633 [Zbl 1425.76143]
Solovský, Jakub; Fučík, Radek, Mass lumping for MHFEM in two phase flow problems in porous media, 635-643 [Zbl 1425.76149]
Rahrah, Menel; Vermolen, Fred, Uncertainty quantification in injection and soil characteristics for Biot’s poroelasticity model, 645-652 [Zbl 1425.74486]
Berge, Runar L.; Berre, Inga; Keilegavlen, Eirik, Reactivation of fractures in subsurface reservoirs – a numerical approach using a static-dynamic friction model, 653-660 [Zbl 1425.76156]
Mechelli, Luca; Volkwein, Stefan, POD-based economic model predictive control for heat-convection phenomena, 663-671 [Zbl 1425.93133]
Tokoutsi, Zoi; Grepl, Martin; Veroy, Karen; Baragona, Marco; Maessen, Ralph, Real-time optimization of thermal ablation cancer treatments, 673-681 [Zbl 1427.65264]
Zimmermann, Ralf; Debrabant, Kristian, Parametric model reduction via interpolating orthonormal bases, 683-691 [Zbl 1427.65274]
Hess, Martin W.; Rozza, Gianluigi, A spectral element reduced basis method in parametric CFD, 693-701 [Zbl 1425.76175]
Gräßle, Carmen; Hinze, Michael; Scharmacher, Nicolas, POD for optimal control of the Cahn-Hilliard system using spatially adapted snapshots, 703-711 [Zbl 1427.65247]
Berrone, Stefano; Borio, Andrea; Pieraccini, Sandra; Scialò, Stefano, New strategies for the simulation of the flow in three dimensional poro-fractured media, 715-723 [Zbl 1425.76130]
Antonietti, Paola F.; Berrone, Stefano; Verani, Marco; Weißer, Steffen, The virtual element method on anisotropic polygonal discretizations, 725-733 [Zbl 1427.65347]
Korotov, Sergey; Plaza, Ángel; Suárez, José P.; Moreno, Tania, On Zlámal minimum angle condition for the longest-edge \(n\)-section algorithm with \(n \geq 4\), 737-742 [Zbl 1427.65397]
González, María; Strugaru, Magdalena, Adaptive solution of a singularly-perturbed convection-diffusion problem using a stabilized mixed finite element method, 743-751 [Zbl 1427.65359]
Vatne, Jon Eivind, Spaces of simplicial shapes, 753-760 [Zbl 1427.65399]
Brandts, Jan; Křížek, Michal, Simplicial vertex-normal duality with applications to well-centered simplices, 761-768 [Zbl 1429.51007]
Hannukainen, Antti; Korotov, Sergey; Křížek, Michal, Maximum angle condition for \(n\)-dimensional simplicial elements, 769-775 [Zbl 1427.65363]
Ferronato, Massimiliano; Honorio, Herminio T.; Janna, Carlo; Maliska, Clovis R., An oscillation-free finite volume method for poroelasticity, 779-787 [Zbl 1425.76162]
Both, Jakub W.; Köcher, Uwe, Numerical investigation on the fixed-stress splitting scheme for Biot’s equations: optimality of the tuning parameter, 789-797 [Zbl 1425.76132]
Landa-Marbán, David; Pop, Iuliu Sorin; Kumar, Kundan; Radu, Florin A., Numerical simulation of biofilm formation in a microchannel, 799-807 [Zbl 1425.76144]
Brogan, John P.; Yang, Yilin; Yu, Thomas P.-Y., Numerical methods for biomembranes based on piecewise linear surfaces, 809-817 [Zbl 1429.92066]
Martínez, Aurea; Alvarez-Vázquez, Lino J.; Rodríguez, Carmen; Vázquez-Méndez, Miguel E.; Vilar, Miguel A., Heavy metals phytoremediation: first mathematical modelling results, 819-827 [Zbl 07136767]
Alvarez-Vázquez, Lino J.; Fernández, Francisco J.; Martínez, Aurea; Vázquez-Méndez, Miguel E., Urban heat island effect in metropolitan areas: an optimal control perspective, 829-837 [Zbl 1425.90144]
Chouly, Franz; Hild, Patrick; Lleras, Vanessa; Renard, Yves, Nitsche-based finite element method for contact with Coulomb friction, 839-847 [Zbl 07136769]
Tezer-Sezgin, Munevver; Senel, Pelin, Electrically driven MHD flow between two parallel slipping and partly conducting infinite plates, 849-858 [Zbl 1441.76142]
Beneš, Luděk; Řezníček, Hynek, Two methods for the numerical modelling of the PM transport and deposition on the vegetation, 859-867 [Zbl 1441.76004]
Rafetseder, Katharina; Zulehner, Walter, On a new mixed formulation of Kirchhoff plates on curvilinear polygonal domains, 869-877 [Zbl 07136772]
Banholzer, Stefan; Makarov, Eugen; Volkwein, Stefan, POD-based multiobjective optimal control of time-variant heat phenomena, 881-888 [Zbl 1425.90145]
Brünnette, Tim; Santin, Gabriele; Haasdonk, Bernard, Greedy kernel methods for accelerating implicit integrators for parametric ODEs, 889-896 [Zbl 07136774]
Schmidtmann, Birte; Torrilhon, Manuel, Third-order limiter functions on non-equidistant grids, 899-907 [Zbl 1427.65212]
Knobloch, Petr, A linearity preserving algebraic flux correction scheme of upwind type satisfying the discrete maximum principle on arbitrary meshes, 909-918 [Zbl 1427.65366]
Gander, Martin J.; Vanzan, Tommaso, Optimized Schwarz methods for advection diffusion equations in bounded domains, 921-929 [Zbl 1427.65403]
Chaouqui, Faycal; Gander, Martin J.; Santugini-Repiquet, Kévin, Optimal coarse spaces for FETI and their approximation, 931-939 [Zbl 1427.65400]
Fabrini, Giulia; Falcone, Maurizio; Volkwein, Stefan, Coupling MPC and HJB for the computation of POD-based feedback laws, 941-949 [Zbl 07136779]
Carraro, Thomas; Geiger, Michael Ernst, Adaptive multiple shooting for nonlinear boundary value problems, 951-959 [Zbl 1431.65113]
Kučera, Václav; Shu, Chi-Wang, Exponential scaling and the time growth of the error of DG for advection-reaction problems, 963-971 [Zbl 1427.65251]
Swierczynski, Piotr; Wohlmuth, Barbara, Maximum norm estimates for energy-corrected finite element method, 973-981 [Zbl 1427.65379]
Vasilyev, Alexander; Vasilyev, Vladimir, Digital operators, discrete equations and error estimates, 983-991 [Zbl 1425.35242]
Erath, Christoph; Schorr, Robert, A simple boundary approximation for the non-symmetric coupling of the finite element method and the boundary element method for parabolic-elliptic interface problems, 993-1001 [Zbl 1427.65244]
Wahlsten, Markus; Nordström, Jan, Galerkin projection and numerical integration for a stochastic investigation of the viscous Burgers’ equation: an initial attempt, 1005-1013 [Zbl 07136785]
ten Thije Boonkkamp, J. H. M.; Kumar, N.; Koren, B.; van der Woude, D. A. M.; Linke, A., Nonlinear flux approximation scheme for Burgers equation derived from a local BVP, 1015-1023 [Zbl 1441.35201]
Tarman, Hakan I., A spectral solenoidal-Galerkin method for flow past a circular cylinder, 1025-1033 [Zbl 1441.76010]
Beltman, René; Anthonissen, Martijn; Koren, Barry, Conservative mimetic cut-cell method for incompressible Navier-Stokes equations, 1035-1043 [Zbl 1441.76031]
65-06 Proceedings, conferences, collections, etc. pertaining to numerical analysis
65Z05 Applications to the sciences
00A69 General applied mathematics
00B25 Proceedings of conferences of miscellaneous specific interest
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