# zbMATH — the first resource for mathematics

## Computing and Visualization in Science

 Short Title: Comput. Vis. Sci. Publisher: Springer, Berlin/Heidelberg ISSN: 1432-9360; 1433-0369/e Online: http://link.springer.com/journal/volumesAndIssues/791
 Documents Indexed: 298 Publications (since 1997) References Indexed: 175 Publications with 5,077 References.
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#### Latest Issues

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#### Authors

 19 Wittum, Gabriel 8 Quarteroni, Alfio M. 7 Bank, Randolph E. 7 Mikula, Karol 6 Espedal, Magne S. 6 Frolkovič, Peter 5 Hackbusch, Wolfgang 5 Nägel, Arne 5 Schulz, Volker H. 5 Veneziani, Alessandro 4 Grillo, Alfio 4 Krause, Rolf H. 4 Reiter, Sebastian 4 Saleri, Fausto 4 Sauter, Stefan A. 4 Vogel, Andreas 4 Xu, Jinchao 3 Börm, Steffen 3 Borzì, Alfio 3 Espig, Mike 3 Fladmark, Gunnar E. 3 Hoppe, Ronald H. W. 3 Iliev, Oleg P. 3 Knabner, Peter 3 Kriemann, Ronald 3 Kröhn, Klaus-Peter 3 Lai, Choi-Hong 3 Lampe, Michael 3 Lions, Pierre-Louis 3 Logashenko, Dmitry 3 Micheletti, Stefano 3 Ohlberger, Mario 3 Pericleous, Koulis A. 3 Rupp, Martin 3 Sander, Oliver 3 Vandewalle, Stefan G. 3 Wagner, Christian 3 Wieners, Christian 2 Amara, Mohamed 2 Bänsch, Eberhard 2 Bause, Markus 2 Boffi, Daniele 2 Bürger, Raimund 2 Capatina-Papaghiuc, Daniela 2 Carlini, Elisabetta 2 Celia, Michael A. 2 Chaib, Mohamed 2 Chinnamsetty, Sambasiva Rao 2 Coclici, Cristian-Aurelian 2 D’Ambra, Pasqua 2 Deotte, Chris 2 Deuflhard, Peter 2 di Serafino, Daniela 2 Douglas, Craig C. 2 Engquist, Bjorn E. 2 Eymard, Robert 2 Ferretti, Roberto Giorgio 2 Formaggia, Luca 2 Gallouët, Thierry 2 Gaspar, Francisco José 2 Gastaldi, Lucia 2 Giles, Michael B. 2 Grasedyck, Lars 2 Griebel, Michael 2 Grøttum, Per 2 Gustavsson, Katarina 2 Haase, Gundolf 2 Harbrecht, Helmut 2 Heppner, Ingo 2 Jäger, Willi 2 John, Volker 2 Knodel, Markus M. 2 Kornhuber, Ralf 2 Kozel, Karel 2 Kuhn, Michael A. 2 Kunisch, Karl 2 Langer, Ulrich 2 Lazarov, Raytcho D. 2 Le Borne, Sabine 2 Liebmann, Manfred 2 Lines, Glenn Terje 2 Mattheij, Robert M. M. 2 Miglio, Edie 2 Naraparaju, Kishore Kumar 2 Neuss, Nicolas 2 Oosterlee, Cornelis Willebrordus 2 Oppelstrup, Jesper 2 Reimer, Knut 2 Reusken, Arnold 2 Ruprecht, Daniel 2 Sacco, Riccardo 2 Scheichl, Robert 2 Schmidt, Stephan 2 Schneider, Jan 2 Schwab, Christoph 2 Siebenborn, Martin 2 Steinbach, Olaf 2 Tai, Xuecheng 2 Trujillo, David M. 2 Tveito, Aslak ...and 519 more Authors
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#### Fields

 162 Numerical analysis (65-XX) 116 Fluid mechanics (76-XX) 59 Partial differential equations (35-XX) 35 Biology and other natural sciences (92-XX) 34 Computer science (68-XX) 26 Mechanics of deformable solids (74-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 15 Classical thermodynamics, heat transfer (80-XX) 13 Geophysics (86-XX) 9 General and overarching topics; collections (00-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Optics, electromagnetic theory (78-XX) 8 Information and communication theory, circuits (94-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Probability theory and stochastic processes (60-XX) 4 Operations research, mathematical programming (90-XX) 3 Ordinary differential equations (34-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Approximations and expansions (41-XX) 2 Statistics (62-XX) 2 Systems theory; control (93-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

231 Publications have been cited 2,420 times in 2,247 Documents Cited by Year
Large eddy simulation and the variational multiscale method. Zbl 0998.76040
Hughes, Thomas J. R.; Mazzei, Luca; Jansen, Kenneth E.
2000
Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients. Zbl 1241.65012
Cliffe, K. A.; Giles, M. B.; Scheichl, R.; Teckentrup, A. L.
2011
NETGEN: An advancing front 2D/3D-mesh generator based on abstract rules. Zbl 0883.68130
Schöberl, Joachim
1997
Computational vascular fluid dynamics: problems, models and methods. Zbl 1096.76042
Quarteroni, Alfio; Tuveri, Massimiliano; Veneziani, Alessandro
2000
UG – a flexible software toolbox for solving partial differential equations. Zbl 0970.65129
Bastian, P.; Birken, K.; Johannsen, K.; Lang, S.; Neuß, N.; Rentz-Reichert, H.; Wieners, C.
1997
MooNMD – a program package based on mapped finite element methods. Zbl 1061.65124
John, Volker; Matthies, Gunnar
2004
Convergence analysis of a subdomain iterative method for the finite element approximation of the coupling of Stokes and Darcy equations. Zbl 1299.76252
Discacciati, Marco; Quarteroni, Alfio
2004
Multiscale modelling of the circulatory system: a preliminary analysis. Zbl 1067.76624
Formaggia, Luca; Nobile, Fabio; Quarteroni, Alfio; Veneziani, Alessandro
1999
Adaptive multigrid methods for Signorini’s problem in linear elasticity. Zbl 1051.74045
Kornhuber, Ralf; Krause, Rolf
2001
Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales. Zbl 0995.65101
Codina, Ramon; Blasco, Jordi
2002
A finite element based level-set method for multiphase flow applications. Zbl 1060.76578
Tornberg, Anna-Karin; Engquist, Björn
2000
A finite point method for incompressible flow problems. Zbl 1060.76629
Oñate, Eugenio; Sacco, Carlos; Idelsohn, Sergio
2000
Computational aspects of the stochastic finite element method. Zbl 1123.65004
Eiermann, Michael; Ernst, Oliver G.; Ullmann, Elisabeth
2007
A finite element based level set method for two-phase incompressible flows. Zbl 1119.76042
Groß, Sven; Reichelt, Volker; Reusken, Arnold
2006
Anisotropic mesh adaptation for finite volume and finite element methods on triangular meshes. Zbl 0917.68214
Dolejší, Vít
1998
Composite finite elements for problems containing small geometric details. II: Implementation and numerical results. Zbl 1001.65127
Hackbusch, W.; Sauter, S. A.
1997
Coupling between lumped and distributed models for blood flow problems. Zbl 1097.76615
Quarteroni, Alfio; Ragni, Stefania; Veneziani, Alessandro
2001
Realization of an integrated structural design process: analysis-suitable geometric modelling and isogeometric analysis. Zbl 1216.65019
Schmidt, R.; Kiendl, J.; Bletzinger, K.-U.; Wüchner, R.
2010
On an energy minimizing basis for algebraic multigrid methods. Zbl 1077.65130
Xu, Jinchao; Zikatanov, Ludmil
2004
An efficient algorithm for Hamilton-Jacobi equations in high dimension. Zbl 1070.65072
Carlini, Elisabetta; Falcone, Maurizio; Ferretti, Roberto
2004
An Eulerian approach to transport and diffusion on evolving implicit surfaces. Zbl 1220.65132
Dziuk, G.; Elliott, C. M.
2010
On numerical simulation of flow through oil filters. Zbl 1299.76255
Iliev, Oleg; Laptev, Vsevolod
2004
Geometric surface mesh optimization. Zbl 0911.68202
Frey, Pascal J.; Borouchaki, Houman
1998
HP90: A general and flexible Fortran 90 $$hp$$-FE code. Zbl 0912.68014
Demkowicz, L.; Gerdes, K.; Schwab, C.; Bajer, A.; Walsh, T.
1998
Computational model of three-dimensional cardiac electromechanics. Zbl 1001.92005
Usyk, Taras P.; LeGrice, Ian J.; McCulloch, Andrew D.
2002
A low Mach number scheme based on multi-scale asymptotics. Zbl 1060.76630
Roller, Sabine; Munz, Claus-Dieter
2000
Parallelization of structured, hierarchical adaptive mesh refinement algorithms. Zbl 0971.65089
Rendleman, Charles A.; Beckner, Vincent E.; Lijewski, Mike; Crutchfield, William; Bell, John B.
2000
Modeling the electrical activity of the heart: A bidomain model of the ventricles embedded in a torso. Zbl 1024.92006
Lines, Glenn Terje; Grottum, Per; Tveito, Aslak
2003
UG 4: a novel flexible software system for simulating PDE based models on high performance computers. Zbl 1375.35003
Vogel, Andreas; Reiter, Sebastian; Rupp, Martin; Nägel, Arne; Wittum, Gabriel
2013
The finite volume Scharfetter-Gummel method for steady convection diffusion equations. Zbl 0912.68084
Bank, Randolph E.; Coughran, W. M. jun.; Cowsar, Lawrence C.
1998
Progress in adjoint error correction for integral functionals. Zbl 1061.65091
Giles, Michael B.; Pierce, Niles; Süli, Endre
2004
A time-adaptive fluid-structure interaction method for thermal coupling. Zbl 1273.76369
Birken, Philipp; Quint, Karsten J.; Hartmann, Stefan; Meister, Andreas
2010
Mathematical models and numerical methods for the forward problem in cardiac electrophysiology. Zbl 1050.92017
Lines, G. T.; Buist, M. L.; Grøttum, P.; Pullan, A. J.; Sundnes, J.; Tveito, A.
2003
Nonlinear multigrid methods for total variation image denoising. Zbl 1071.65093
Frohn-Schauf, Claudia; Henn, Stefan; Witsch, Kristian
2004
Image segmentation using a multilayer level-set approach. Zbl 1216.65024
Chung, Ginmo; Vese, Luminita A.
2009
A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing. Zbl 1216.65164
Wieners, Christian
2010
Freeflow: An integrated simulation system for three-dimensional free surface flows. Zbl 0979.76067
Castello F., A.; Tomé, M. F.; César, C. N. L.; McKee, S.; Cuminato, J. A.
2000
Monotone difference approximations for the simulation of clarifier-thickener units. Zbl 1299.76283
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
2004
A Dirichlet-Neumann type algorithm for contact problems with friction. Zbl 1099.74536
Krause, Rolf H.; Wohlmuth, Barbara I.
2002
Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices. Zbl 1388.74035
Axelsson, Owe; Blaheta, Radim; Byczanski, Petr
2012
An adaptive subdivision technique for the approximation of attractors and invariant measures. Zbl 0970.65130
Dellnitz, Michael; Junge, Oliver
1998
Flux-based method of characteristics for contaminant transport in flowing groundwater. Zbl 1052.76578
Frolkovič, Peter
2002
Vorticity-velocity-pressure formulation for Navier-Stokes equations. Zbl 1299.76059
Amara, Mohamed; Capatina-Papaghiuc, Daniela; Chacón-Vera, Eliseo; Trujillo, David
2004
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C.
2010
An anisotropic a posteriori error estimate for a convection-diffusion problem. Zbl 1009.76051
Formaggia, Luca; Perotto, Simona; Zunino, Paolo
2001
Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Zbl 1388.65152
Langer, Ulrich; Toulopoulos, Ioannis
2015
A cascadic multigrid algorithm for variational inequalities. Zbl 1070.65046
Blum, H.; Braess, D.; Suttmeier, F. T.
2004
On multigrid for anisotropic equations and variational inequalities “pricing multi-dimensional European and American options”. Zbl 1111.91019
Reisinger, Christoph; Wittum, Gabriel
2004
Solving discretized optimization problems by partially reduced SQP methods. Zbl 0970.65066
Schulz, Volker H.
1998
Fourier two-level analysis for higher dimensional discontinuous Galerkin discretisation. Zbl 1071.65154
Hemker, P. W.; van Raalte, M. H.
2004
A POD framework to determine robust controls in PDE optimization. Zbl 1242.93025
Borzì, A.; von Winckel, G.
2011
Convergence analysis of multigrid methods with collective point smoothers for optimal control problems. Zbl 1250.65086
Takacs, Stefan; Zulehner, Walter
2011
Numerical simulation of interaction between turbulent flow and a vibrating airfoil. Zbl 1426.74127
Dubcová, Lenka; Feistauer, Miloslav; Horáček, Jaromír; Sváček, Petr
2009
Modelling and simulation of moving contact line problems with wetting effects. Zbl 1410.76173
Ganesan, Sashikumaar; Tobiska, Lutz
2009
From computer aided design to wavelet BEM. Zbl 1213.65146
Harbrecht, H.; Randrianarivony, M.
2010
A comparison of parallel solvers for the incompressible Navier-Stokes equations. Zbl 1015.76072
John, V.
1999
Mathematical model and numerical simulation of the liquid fluidization of polydisperse solid particle mixtures. Zbl 1299.76282
Berres, S.; Bürger, R.; Tory, E. M.
2004
Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows. Zbl 1402.92066
Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Schmid, Lothar; Willbold, Carina; Wixforth, Achim
2011
Comparison of models for finite plasticity: a numerical study. Zbl 1129.74303
Neff, Patrizio; Wieners, Christian
2003
Adaptive AMG with coarsening based on compatible weighted matching. Zbl 1376.65038
D’Ambra, Pasqua; Vassilevski, Panayot S.
2013
Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study. Zbl 1388.74086
Penta, Raimondo; Gerisch, Alf
2015
Numerical approximation of an elliptic-parabolic equation arising in environment. Zbl 1060.76075
Eymard, R.; Gallouët, T.; Gutnic, M.; Herbin, R.; Hilhorst, D.
2000
Two stable POD-based approximations to the Navier-Stokes equations. Zbl 1008.76076
Iollo, Angelo; Dervieux, Alain; Désidéri, Jean-Antoine; Lanteri, Stéphane
2000
Set-valued maps for image segmentation. Zbl 0995.68177
Lorenz, Thomas
2001
A note on $$B$$-stability of splitting methods. Zbl 1067.65077
Araújo, A.
2004
Finite element approximation of elliptic partial differential equations on implicit surfaces. Zbl 1173.65353
Burger, Martin
2008
A massively parallel geometric multigrid solver on hierarchically distributed grids. Zbl 1380.65463
Reiter, Sebastian; Vogel, Andreas; Heppner, Ingo; Rupp, Martin; Wittum, Gabriel
2013
Wave propagation characteristics of Parareal. Zbl 1398.65374
Ruprecht, Daniel
2018
Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems. Zbl 1358.76070
Frank, Florian; Ray, Nadja; Knabner, Peter
2011
Lagrangian data assimilation for river hydraulics simulations. Zbl 1426.86005
Honnorat, Marc; Monnier, Jérôme; Le Dimet, François-Xavier
2009
A coarsening finite element strategy in image selective smoothing. Zbl 0971.65084
Bänsch, Eberhard; Mikula, Karol
1997
Efficient calculation of intrinsic low-dimensional manifolds for the simplification of chemical kinetics. Zbl 0984.80008
Maas, Ulrich
1998
Automatic differentiation in C++ using expression templates and application to a flow control problem. Zbl 0966.68029
Aubert, Pierre; Di Césaré, Nicolas; Pironneau, Olivier
2001
Blood flow through compliant vessels after endovascular repair: wall deformations induced by the discontinuous wall properties. Zbl 0987.92011
Čanić, Sunčica
2002
On optimal $$L^2$$- and surface flux convergence in FEM. Zbl 1380.65370
Horger, T.; Melenk, J. M.; Wohlmuth, B.
2013
$$\mathcal H$$-LU factorization on many-core systems. Zbl 1388.65210
Kriemann, Ronald
2013
Optimization problems in contracted tensor networks. Zbl 1380.49059
Espig, Mike; Hackbusch, Wolfgang; Handschuh, Stefan; Schneider, Reinhold
2011
A multigrid finite element method for reaction-diffusion systems on surfaces. Zbl 1213.65128
Landsberg, Christoph; Voigt, Axel
2010
A generalization of the vertex-centered finite volume scheme to arbitrary high order. Zbl 1207.65128
Vogel, Andreas; Xu, Jinchao; Wittum, Gabriel
2010
An adaptive Rothe method for the wave equation. Zbl 0915.65105
Schemann, Martin; Bornemann, Folkmar A.
1998
A framework for computational anatomy. Zbl 1001.92032
Thompson, Paul M.; Toga, Arthur W.
2002
Modeling impulse propagation and extracellular potential distributions in anisotropic cardiac tissue using a finite volume element discretization. Zbl 1001.92022
Penland, R. Christian; Harrild, David M.; Henriquez, Craig S.
2002
Computer simulations of cardiac defibrillation: a look inside the heart. Zbl 0997.92026
Trayanova, Natalia; Eason, James; Aguel, Felipe
2002
TVD, WENO and blended BDF discretizations for Asian options. Zbl 1079.91039
Oosterlee, C. W.; Frisch, J. C.; Gaspar, F. J.
2004
Solution of linear systems in high spatial dimensions. Zbl 1388.65032
Hackbusch, Wolfgang
2015
Multigrid method for nonlinear poroelasticity equations. Zbl 1388.74013
Luo, P.; Rodrigo, Carmen; Gaspar, F. J.; Oosterlee, C. W.
2015
$$hp$$ adaptive finite elements based on derivative recovery and superconvergence. Zbl 1380.65358
Bank, Randolph E.; Nguyen, Hieu
2011
Stable free surface flows with the lattice Boltzmann method on adaptively coarsened grids. Zbl 1426.76055
Thürey, Nils; Rüde, Ulrich
2009
Comparison study for level set and direct Lagrangian methods for computing Willmore flow of closed planar curves. Zbl 1213.35033
Beneš, Michal; Mikula, Karol; Oberhuber, Tomáš; Ševčovič, Daniel
2009
Multigrid and sparse-grid schemes for elliptic control problems with random coefficients. Zbl 1213.65092
Borzì, A.
2010
Error estimators for the position of discontinuities in hyperbolic conservation laws with source terms which are solved using operator splitting. Zbl 0970.65100
Jeltsch, R.; Klingenstein, P.
1999
On the coupling of Navier-Stokes and linearised Euler equations for aeroacoustic simulation. Zbl 1030.76048
Djambazov, G. S.; Lai, C.-H.; Pericleous, K. A.
2000
Slow and fast diffusion effects in image processing. Zbl 0971.65085
Kacur, Jozef; Mikula, Karol
2001
On the numerical solution of a three-dimensional extrusion model. Zbl 0896.76039
Eikemo, M. S.; Espedal, M. S.; Fladmark, G.
1997
A fast preconditioner for the incompressible Navier-Stokes equations. Zbl 1299.76183
Gauthier, Alain; Saleri, Fausto; Veneziani, Alessandro
2004
Reduced-basis output bounds for approximately parametrized elliptic coercive partial differential equations. Zbl 1064.65140
Prud’homme, C.; Patera, A. T.
2004
Cell-centred multigrid revisited. Zbl 1070.65128
Mohr, Marcus; Wienands, Roman
2004
Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping. Zbl 1120.76321
Bause, Markus; Knabner, Peter
2004
A parallel, load-balanced MHD code on locally-adapted, unstructured grids in 3d. Zbl 1120.76338
Dedner, Andreas; Rohde, Christian; Schupp, Bernhard; Wesenberg, Matthias
2004
Nested multigrid methods for time-periodic, parabolic optimal control problems. Zbl 1241.65061
Abbeloos, Dirk; Diehl, Moritz; Hinze, Michael; Vandewalle, Stefan
2011
Wave propagation characteristics of Parareal. Zbl 1398.65374
Ruprecht, Daniel
2018
Fast multipole preconditioners for sparse matrices arising from elliptic equations. Zbl 1398.65039
Ibeid, Huda; Yokota, Rio; Pestana, Jennifer; Keyes, David
2018
Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem. Zbl 1398.65244
Aizinger, Vadym; Bungert, Leon; Fried, Michael
2018
Lossy data compression reduces communication time in hybrid time-parallel integrators. Zbl 1398.65372
Fischer, Lisa; Götschel, Sebastian; Weiser, Martin
2018
Time-parallel simulation of the decay of homogeneous turbulence using Parareal with spatial coarsening. Zbl 1396.76044
Lunet, Thibaut; Bodart, Julien; Gratton, Serge; Vasseur, Xavier
2018
A numerical study of a semi-Lagrangian Parareal method applied to the viscous Burgers’ equation. Zbl 1398.65375
Schmitt, A.; Schreiber, M.; Peixoto, P.; Schäfer, M.
2018
An error-resilient redundant subspace correction method. Zbl 1364.65275
Cui, Tao; Xu, Jinchao; Zhang, Chen-Song
2017
The spherical design algorithm in the numerical simulation of biological tissues with statistical fibre-reinforcement. Zbl 1390.74175
Carfagna, Melania; Grillo, Alfio
2017
Multigrid methods with space-time concurrency. Zbl 1448.65146
Falgout, R. D.; Friedhoff, S.; Kolev, Tz. V.; MacLachlan, S. P.; Schroder, J. B.; Vandewalle, S.
2017
Numerical studies of a class of linear solvers for fine-scale petroleum reservoir simulation. Zbl 1364.76157
Li, Zheng; Wu, Shuhong; Zhang, Chen-Song; Xu, Jinchao; Feng, Chunsheng; Hu, Xiaozhe
2017
A parallel multigrid method for constrained minimization problems and its application to friction, contact, and obstacle problems. Zbl 1360.65175
Krause, Rolf; Rigazzi, Alessandro; Steiner, Johannes
2016
Numerical simulation of contaminant transport in groundwater using software tools of $$r^3t$$. Zbl 1360.76007
Frolkovič, Peter; Lampe, Michael; Wittum, Gabriel
2016
Flux-based level-set method for two-phase flows on unstructured grids. Zbl 1360.76159
Frolkovič, Peter; Logashenko, Dmitriy; Wehner, Christian
2016
Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Zbl 1388.65152
Langer, Ulrich; Toulopoulos, Ioannis
2015
Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study. Zbl 1388.74086
Penta, Raimondo; Gerisch, Alf
2015
Solution of linear systems in high spatial dimensions. Zbl 1388.65032
Hackbusch, Wolfgang
2015
Multigrid method for nonlinear poroelasticity equations. Zbl 1388.74013
Luo, P.; Rodrigo, Carmen; Gaspar, F. J.; Oosterlee, C. W.
2015
Scalable shape optimization methods for structured inverse modeling in 3D diffusive processes. Zbl 1360.65240
Nägel, Arne; Schulz, Volker; Siebenborn, Martin; Wittum, Gabriel
2015
Parallel tensor sampling in the hierarchical Tucker format. Zbl 1360.65042
Grasedyck, Lars; Kriemann, Ronald; Löbbert, Christian; Nägel, Arne; Wittum, Gabriel; Xylouris, Konstantinos
2015
Numerical simulation of skin transport using Parareal. Zbl 1360.65337
Kreienbuehl, Andreas; Naegel, Arne; Ruprecht, Daniel; Speck, Robert; Wittum, Gabriel; Krause, Rolf
2015
Convergence of goal-oriented adaptive finite element methods for semilinear problems. Zbl 1388.65149
Holst, Michael; Pollock, Sara; Zhu, Yunrong
2015
Two-grid optimality for Galerkin linear systems based on B-splines. Zbl 1388.65176
Donatelli, Marco; Garoni, Carlo; Manni, Carla; Serra-Capizzano, Stefano; Speleers, Hendrik
2015
$$\mathcal H$$-FAINV: hierarchically factored approximate inverse preconditioners. Zbl 1388.65027
Kriemann, Ronald; Le Borne, S.
2015
A generalized Suzuki-Trotter type method in optimal control of coupled Schrödinger equations. Zbl 1367.49004
Henneke, Felix; Liebmann, Manfred
2015
UG 4: a novel flexible software system for simulating PDE based models on high performance computers. Zbl 1375.35003
Vogel, Andreas; Reiter, Sebastian; Rupp, Martin; Nägel, Arne; Wittum, Gabriel
2013
Adaptive AMG with coarsening based on compatible weighted matching. Zbl 1376.65038
D&rsquo;Ambra, Pasqua; Vassilevski, Panayot S.
2013
A massively parallel geometric multigrid solver on hierarchically distributed grids. Zbl 1380.65463
Reiter, Sebastian; Vogel, Andreas; Heppner, Ingo; Rupp, Martin; Wittum, Gabriel
2013
On optimal $$L^2$$- and surface flux convergence in FEM. Zbl 1380.65370
Horger, T.; Melenk, J. M.; Wohlmuth, B.
2013
$$\mathcal H$$-LU factorization on many-core systems. Zbl 1388.65210
Kriemann, Ronald
2013
Le Borne, Sabine; Rebholz, Leo G.
2013
Saturation estimates for $$hp$$-finite element methods. Zbl 1380.65359
Bank, Randolph E.; Parsania, Asieh; Sauter, Stefan
2013
Efficient arithmetic operations for rank-structured matrices based on hierarchical low-rank updates. Zbl 1380.65461
Börm, Steffen; Reimer, Knut
2013
On the robustness and optimality of algebraic multilevel methods for reaction-diffusion type problems. Zbl 1380.65377
Kraus, Johannes; Wolfmayr, Monika
2013
An error analysis of some higher order space-time moving finite elements. Zbl 1380.65247
Bank, Randolph E.; Metti, Maximilian S.
2013
Parallel algebraic multilevel Schwarz preconditioners for a class of elliptic PDE systems. Zbl 1376.65032
Borzì, Alfio; De Simone, Valentina; di Serafino, Daniela
2013
A balanced accumulation scheme for parallel PDE solvers. Zbl 1380.65462
Liebmann, Manfred; Neic, Aurel; Haase, Gundolf
2013
Computing the eigenvalues of symmetric $$\mathcal{H}^2$$-matrices by slicing the spectrum. Zbl 1376.65044
Benner, Peter; Börm, Steffen; Mach, Thomas; Reimer, Knut
2013
Solving an elliptic PDE eigenvalue problem via automated multi-level substructuring and hierarchical matrices. Zbl 1380.65352
Gerds, Peter; Grasedyck, Lars
2013
Matrix-free GPU implementation of a preconditioned conjugate gradient solver for anisotropic elliptic PDEs. Zbl 1376.65041
Müller, Eike; Guo, Xu; Scheichl, Robert; Shi, Sinan
2013
Towards an efficient numerical simulation of complex 3D knee joint motion. Zbl 1388.74108
Sander, Oliver; Klapproth, Corinna; Youett, Jonathan; Kornhuber, Ralf; Deuflhard, Peter
2013
Stable discretization of poroelasticity problems and efficient preconditioners for arising saddle point type matrices. Zbl 1388.74035
Axelsson, Owe; Blaheta, Radim; Byczanski, Petr
2012
Hysteretic upscaled constitutive relationships for vertically integrated porous media flow. Zbl 1388.76358
Doster, Florian; Nordbotten, Jan M.; Celia, Michael A.
2012
A note on tensor chain approximation. Zbl 1360.15027
Espig, Mike; Naraparaju, Kishore Kumar; Schneider, Jan
2012
Topology optimization of electric machines based on topological sensitivity analysis. Zbl 1360.49036
Gangl, Peter; Langer, Ulrich
2012
On surface meshes induced by level set functions. Zbl 1388.65157
Olshanskii, Maxim A.; Reusken, Arnold; Xu, Xianmin
2012
Developing a modelling tool for density-driven flow in complex hydrogeological structures. Zbl 1388.76006
Schneider, Anke; Kröhn, Klaus-Peter; Püschel, Anne
2012
Forchheimer’s correction in modelling flow and transport in fractured porous media. Zbl 1388.76360
Grillo, Alfio; Logashenko, Dmitriy; Stichel, Sabine; Wittum, Gabriel
2012
Modeling carbon sequestration in the Illinois Basin using a vertically-integrated approach. Zbl 1388.76352
Bandilla, Karl W.; Celia, Michael A.; Elliot, Thomas R.; Person, Mark; Ellett, Kevin M.; Rupp, John A.; Gable, Carl; Zhang, Yipeng
2012
Parallel $$\mathcal {H}$$-matrix arithmetic on distributed-memory systems. Zbl 1388.65209
2012
Numerical simulation of gas migration through engineered and geological barriers for a deep repository for radioactive waste. Zbl 1388.86002
Amaziane, Brahim; El Ossmani, Mustapha; Jurak, Mladen
2012
Qualifying a computer program for simulating fracture flow. Zbl 1388.76364
Kröhn, Klaus-Peter
2012
A curved-element unstructured discontinuous Galerkin method on GPUs for the Euler equations. Zbl 1388.65108
Siebenborn, M.; Schulz, Volker; Schmidt, S.
2012
Tensor structured evaluation of singular volume integrals. Zbl 1388.65023
Ballani, Jonas; Meszmer, Peter
2012
Multilevel Monte Carlo methods and applications to elliptic PDEs with random coefficients. Zbl 1241.65012
Cliffe, K. A.; Giles, M. B.; Scheichl, R.; Teckentrup, A. L.
2011
A POD framework to determine robust controls in PDE optimization. Zbl 1242.93025
Borzì, A.; von Winckel, G.
2011
Convergence analysis of multigrid methods with collective point smoothers for optimal control problems. Zbl 1250.65086
Takacs, Stefan; Zulehner, Walter
2011
Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows. Zbl 1402.92066
Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Schmid, Lothar; Willbold, Carina; Wixforth, Achim
2011
Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems. Zbl 1358.76070
Frank, Florian; Ray, Nadja; Knabner, Peter
2011
Optimization problems in contracted tensor networks. Zbl 1380.49059
Espig, Mike; Hackbusch, Wolfgang; Handschuh, Stefan; Schneider, Reinhold
2011
$$hp$$ adaptive finite elements based on derivative recovery and superconvergence. Zbl 1380.65358
Bank, Randolph E.; Nguyen, Hieu
2011
Nested multigrid methods for time-periodic, parabolic optimal control problems. Zbl 1241.65061
Abbeloos, Dirk; Diehl, Moritz; Hinze, Michael; Vandewalle, Stefan
2011
A 2589 line topology optimization code written for the graphics card. Zbl 1380.74100
Schmidt, Stephan; Schulz, Volker
2011
Generalized cross approximation for 3D-tensors. Zbl 1250.65060
Naraparaju, Kishore Kumar; Schneider, Jan
2011
Boundary element methods for magnetostatic field problems: a critical view. Zbl 1243.78047
Andjelic, Zoran; Of, Günther; Steinbach, Olaf; Urthaler, Peter
2011
A parallel Newton-Krylov method for optimal control of the monodomain model in cardiac electrophysiology. Zbl 1380.92039
Kunisch, Karl; Nagaiah, Chamakuri; Wagner, Marcus
2011
A convection-diffusion-shape model for aberrant colonic crypt morphogenesis. Zbl 1238.92018
Figueiredo, Isabel N.; Leal, Carlos; Romanazzi, Giuseppe; Engquist, Bjorn; Figueiredo, Pedro N.
2011
Formulation and multigrid solution of Cauchy-Riemann optimal control problems. Zbl 1308.35318
Butt, M. M.; Borzì, A.
2011
Photorealistic visualization and fluid animation: coupling of Maya with a two-phase Navier-Stokes fluid solver. Zbl 1358.76026
Zaspel, Peter; Griebel, Michael
2011
On the modeling and simulation of non-hydrostatic dam break flows. Zbl 1358.76037
Caboussat, Alexandre; Boyaval, Sébastien; Masserey, Alexandre
2011
Lifting in hybrid lattice Boltzmann and PDE models. Zbl 1310.82035
Vanderhoydonc, Y.; Vanroose, W.
2011
The least squares AMG solver for the one-dimensional Helmholtz operator. Zbl 1241.65068
Livshits, Irene
2011
Higher-order schemes for the Laplace transformation method for parabolic problems. Zbl 1241.65078
Douglas, C.; Kim, I.; Lee, H.; Sheen, D.
2011
The PSurface library. Zbl 1360.65012
Sander, Oliver
2011
Realization of an integrated structural design process: analysis-suitable geometric modelling and isogeometric analysis. Zbl 1216.65019
Schmidt, R.; Kiendl, J.; Bletzinger, K.-U.; Wüchner, R.
2010
An Eulerian approach to transport and diffusion on evolving implicit surfaces. Zbl 1220.65132
Dziuk, G.; Elliott, C. M.
2010
A time-adaptive fluid-structure interaction method for thermal coupling. Zbl 1273.76369
Birken, Philipp; Quint, Karsten J.; Hartmann, Stefan; Meister, Andreas
2010
A geometric data structure for parallel finite elements and the application to multigrid methods with block smoothing. Zbl 1216.65164
Wieners, Christian
2010
Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. Zbl 1220.65074
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C.
2010
From computer aided design to wavelet BEM. Zbl 1213.65146
Harbrecht, H.; Randrianarivony, M.
2010
A multigrid finite element method for reaction-diffusion systems on surfaces. Zbl 1213.65128
Landsberg, Christoph; Voigt, Axel
2010
A generalization of the vertex-centered finite volume scheme to arbitrary high order. Zbl 1207.65128
Vogel, Andreas; Xu, Jinchao; Wittum, Gabriel
2010
Multigrid and sparse-grid schemes for elliptic control problems with random coefficients. Zbl 1213.65092
Borzì, A.
2010
Reservoir description using a binary level set model. Zbl 1426.76692
Nielsen, Lars Kristian; Li, Hongwei; Tai, Xue-Cheng; Aanonsen, Sigurd Ivar; Espedal, Magne
2010
Fast numerical upscaling of heat equation for fibrous materials. Zbl 1419.74099
Iliev, Oleg; Lazarov, Raytcho; Willems, Joerg
2010
Robust multigrid preconditioners for cell-centered finite volume discretization of the high-contrast diffusion equation. Zbl 1215.65055
Aksoylu, Burak; Yeter, Zuhal
2010
Substructuring of a Signorini-type problem and Robin’s method for the Richards equation in heterogeneous soil. Zbl 1337.74035
Berninger, Heiko; Sander, Oliver
2010
Three-dimensional simulation of the thermohaline-driven buoyancy of a brine parcel. Zbl 1216.76066
Grillo, Alfio; Lampe, Michael; Wittum, Gabriel
2010
Simulation and visualization of the Saint-Venant system using GPUs. Zbl 1273.76338
Brodtkorb, André R.; Hagen, Trond R.; Lie, Knut-Andreas; Natvig, Jostein R.
2010
Coupling impedance boundary conditions for absorptive structures with spectral finite elements in room acoustical simulations. Zbl 1273.76250
Buchschmid, Martin; Pospiech, Martina; Müller, Gerhard
2010
Highly interactive computational steering for coupled 3D flow problems utilizing multiple GPUs. Zbl 1273.76339
Linxweiler, Jan; Krafczyk, Manfred; Tölke, Jonas
2010
Efficient multi-scale computation of products of orbitals in electronic structure calculations. Zbl 1237.65016
Chinnamsetty, Sambasiva Rao; Hackbusch, Wolfgang; Flad, Heinz-Jürgen
2010
Efficient monolithic simulation techniques for the stationary lattice Boltzmann equation on general meshes. Zbl 1426.35010
Hübner, T.; Turek, S.
2010
Image segmentation using a multilayer level-set approach. Zbl 1216.65024
Chung, Ginmo; Vese, Luminita A.
2009
Numerical simulation of interaction between turbulent flow and a vibrating airfoil. Zbl 1426.74127
Dubcová, Lenka; Feistauer, Miloslav; Horáček, Jaromír; Sváček, Petr
2009
Modelling and simulation of moving contact line problems with wetting effects. Zbl 1410.76173
Ganesan, Sashikumaar; Tobiska, Lutz
2009
Lagrangian data assimilation for river hydraulics simulations. Zbl 1426.86005
Honnorat, Marc; Monnier, Jérôme; Le Dimet, François-Xavier
2009
Stable free surface flows with the lattice Boltzmann method on adaptively coarsened grids. Zbl 1426.76055
Thürey, Nils; Rüde, Ulrich
2009
Comparison study for level set and direct Lagrangian methods for computing Willmore flow of closed planar curves. Zbl 1213.35033
Beneš, Michal; Mikula, Karol; Oberhuber, Tomáš; Ševčovič, Daniel
2009
Flux-based level set method on rectangular grids and computation of first arrival time functions. Zbl 1213.65124
Frolkovič, Peter; Wehner, Christian
2009
Propagation and bifurcation of cracks based on implicit surfaces and discontinuous velocities. Zbl 1419.74215
Kovtunenko, V. A.; Kunisch, K.; Ring, W.
2009
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#### Cited by 3,641 Authors

 46 John, Volker 29 Quarteroni, Alfio M. 28 Wittum, Gabriel 25 Wohlmuth, Barbara I. 22 Hughes, Thomas J. R. 22 Matthies, Gunar 20 Bazilevs, Yuri 20 Nobile, Fabio 18 Gravemeier, Volker 17 Oñate Ibáñez de Navarra, Eugenio 16 Hsu, Ming-Chen 16 Krause, Rolf H. 15 Schillinger, Dominik 15 Wall, Wolfgang A. 15 Wieners, Christian 14 Scheichl, Robert 14 Tempone, Raúl F. 14 Tobiska, Lutz 13 Ahmed, Naveed 13 Bürger, Raimund 13 Codina, Ramon 13 Hou, Yanren 13 Langer, Ulrich 12 Gaspar, Francisco José 12 Gunzburger, Max D. 12 Sacco, Riccardo 12 Schwab, Christoph 12 Vassilevski, Panayot Spirov 11 Dumbser, Michael 11 Ganesan, Sashikumaar 11 Grillo, Alfio 11 Idelsohn, Sergio Rodolfo 11 Layton, William J. 11 Schöberl, Joachim 11 Schulz, Volker H. 10 Calo, Victor Manuel 10 Čanić, Sunčica 10 Chacón Rebollo, Tomás 10 Chen, Ke 10 Formaggia, Luca 10 Hoppe, Ronald H. W. 10 Oberai, Assad A. 10 Reusken, Arnold 10 Veneziani, Alessandro 10 Xu, Jinchao 10 Zheng, Haibiao 9 Badia, Santiago 9 Dolejší, Vít 9 Dostál, Zdeněk 9 Efendiev, Yalchin R. 9 Feistauer, Miloslav 9 Frolkovič, Peter 9 Harbrecht, Helmut 9 Houston, Paul 9 Jansen, Kenneth E. 9 Lehrenfeld, Christoph 9 Oosterlee, Cornelis Willebrordus 9 Penta, Raimondo 9 Rodrigo, Carmen 9 Tomé, Murilo F. 9 Vergara, Christian 9 Voigt, Axel 9 Zuo, Liyun 8 Giles, Michael B. 8 Hackbusch, Wolfgang 8 He, Xiaoming 8 Hofer, Christoph D. 8 Houzeaux, Guillaume 8 Iliescu, Traian 8 Lederer, Philip Lukas 8 Neff, Patrizio 8 Novo, Julia 8 Radu, Florin Adrian 8 Reali, Alessandro 8 Rozza, Gianluigi 8 Sander, Oliver 8 Sauter, Stefan A. 8 Ullmann, Elisabeth 8 Vandewalle, Stefan G. 7 Antonietti, Paola Francesca 7 Blanco, Pablo Javier 7 Bletzinger, Kai-Uwe 7 Boscheri, Walter 7 Cuminato, José Alberto 7 Dede, Luca 7 Demkowicz, Leszek F. 7 Geiser, Jürgen 7 Iliev, Oleg P. 7 Karlsen, Kenneth Hvistendahl 7 Knabner, Peter 7 Knobloch, Petr 7 Kornhuber, Ralf 7 Kunisch, Karl 7 Linsenmann, Christopher 7 McKee, Sean 7 Miglio, Edie 7 Mikula, Karol 7 Nägel, Arne 7 Nannen, Lothar 7 Rebholz, Leo G. ...and 3,541 more Authors
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#### Cited in 260 Journals

 260 Computer Methods in Applied Mechanics and Engineering 197 Journal of Computational Physics 90 Journal of Computational and Applied Mathematics 84 SIAM Journal on Scientific Computing 79 Computers & Mathematics with Applications 73 Computers and Fluids 64 Journal of Scientific Computing 61 Applied Numerical Mathematics 58 Computing and Visualization in Science 47 Numerische Mathematik 39 Computational Mechanics 35 Applied Mathematics and Computation 35 SIAM/ASA Journal on Uncertainty Quantification 34 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 32 International Journal for Numerical Methods in Engineering 30 International Journal for Numerical Methods in Fluids 28 Mathematics of Computation 27 SIAM Journal on Numerical Analysis 27 Numerical Linear Algebra with Applications 23 Numerical Methods for Partial Differential Equations 22 Physics of Fluids 22 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 21 Computational Geosciences 19 Computing 19 International Journal of Computer Mathematics 17 Archives of Computational Methods in Engineering 16 BIT 16 Mathematics and Computers in Simulation 14 Advances in Computational Mathematics 13 Journal of Mathematical Analysis and Applications 13 Applied Mathematical Modelling 11 Mathematical Problems in Engineering 10 Mathematical Biosciences 10 Mathematical Methods in the Applied Sciences 10 Computational Optimization and Applications 10 Engineering Analysis with Boundary Elements 10 Nonlinear Analysis. Real World Applications 8 Journal of Fluid Mechanics 8 Calcolo 8 Journal of Differential Equations 8 SIAM Journal on Matrix Analysis and Applications 8 Numerical Algorithms 8 Journal of Mathematical Imaging and Vision 8 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 8 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 8 Multiscale Modeling & Simulation 8 Stochastic and Partial Differential Equations. Analysis and Computations 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Mathematical and Computer Modelling 7 International Journal of Computational Fluid Dynamics 7 Vietnam Journal of Mathematics 7 Computational Methods in Applied Mathematics 7 Computational & Mathematical Methods in Medicine 7 International Journal for Numerical Methods in Biomedical Engineering 6 International Journal of Engineering Science 6 ACM Transactions on Mathematical Software 6 Kybernetika 6 SIAM Journal on Control and Optimization 6 Applied Mathematics Letters 6 Applications of Mathematics 6 SIAM Journal on Applied Mathematics 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Continuum Mechanics and Thermodynamics 6 Journal of Numerical Mathematics 6 Acta Numerica 5 Journal of Engineering Mathematics 5 SIAM Review 5 Communications in Numerical Methods in Engineering 5 Mathematics and Mechanics of Solids 5 Optimization Methods & Software 5 European Journal of Mechanics. A. Solids 5 European Journal of Mechanics. B. Fluids 5 Combustion Theory and Modelling 5 Discrete and Continuous Dynamical Systems. Series B 5 Acta Mechanica Sinica 5 Inverse Problems and Imaging 5 Mathematical Modelling of Natural Phenomena 5 Mathematical Control and Related Fields 4 Acta Mechanica 4 Applicable Analysis 4 Journal of Mathematical Biology 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Automatica 4 Computer Aided Geometric Design 4 Physica D 4 Archive of Applied Mechanics 4 SIAM Journal on Optimization 4 Journal of Nonlinear Science 4 International Journal of Numerical Methods for Heat & Fluid Flow 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Mathematical Fluid Mechanics 4 Engineering Computations 4 Journal of Turbulence 4 Foundations of Computational Mathematics 4 Journal of Applied Mathematics 4 Journal of Applied Mathematics and Computing 4 Journal of Computational Acoustics 4 Mathematical Biosciences and Engineering 4 Inverse Problems in Science and Engineering 4 SIAM Journal on Imaging Sciences ...and 160 more Journals
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#### Cited in 40 Fields

 1,409 Numerical analysis (65-XX) 1,042 Fluid mechanics (76-XX) 640 Partial differential equations (35-XX) 363 Mechanics of deformable solids (74-XX) 242 Biology and other natural sciences (92-XX) 167 Calculus of variations and optimal control; optimization (49-XX) 101 Probability theory and stochastic processes (60-XX) 68 Computer science (68-XX) 57 Classical thermodynamics, heat transfer (80-XX) 51 Optics, electromagnetic theory (78-XX) 50 Information and communication theory, circuits (94-XX) 48 Systems theory; control (93-XX) 41 Statistics (62-XX) 38 Geophysics (86-XX) 37 Statistical mechanics, structure of matter (82-XX) 37 Operations research, mathematical programming (90-XX) 31 Ordinary differential equations (34-XX) 30 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 16 Dynamical systems and ergodic theory (37-XX) 14 Operator theory (47-XX) 13 Global analysis, analysis on manifolds (58-XX) 10 Differential geometry (53-XX) 8 Approximations and expansions (41-XX) 7 Integral equations (45-XX) 7 Mechanics of particles and systems (70-XX) 6 Quantum theory (81-XX) 4 Measure and integration (28-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Real functions (26-XX) 3 Potential theory (31-XX) 3 Functional analysis (46-XX) 2 Functions of a complex variable (30-XX) 1 History and biography (01-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Astronomy and astrophysics (85-XX)