Edit Profile (opens in new tab) Wittum, Gabriel Co-Author Distance Author ID: wittum.gabriel Published as: Wittum, Gabriel; Wittum, G. External Links: MGP · dblp · GND Documents Indexed: 116 Publications since 1986, including 3 Books and 2 Additional arXiv Preprints 17 Contributions as Editor Co-Authors: 119 Co-Authors with 118 Joint Publications 2,383 Co-Co-Authors all top 5 Co-Authors 13 single-authored 12 Hackbusch, Wolfgang 12 Logashenko, Dmitry 10 Nägel, Arne 9 Grillo, Alfio 8 Khoromskiĭ, Boris Nikolaevich 7 Bastian, Peter 7 Vogel, Andreas 6 Reiter, Sebastian 6 Wagner, Christian 5 Schulz, Volker H. 4 Bank, Randolph E. 4 Gordner, Achim 4 Hauser, Andreas 4 Jäger, Willi 3 Eberhard, Jens P. 3 Feuchter, Dirk 3 Höllbacher, Susanne 3 Johannsen, Klaus 3 Knodel, Markus M. 3 Lampe, Michael 3 Lang, Stefan M. 3 Lemke, Babett 3 Litvinenko, Alexander 3 Nägele, Sandra 3 Prohl, Raphael 3 Reichenberger, Volker 3 Rupp, Martin 3 Sauter, Stefan 3 Tempone, Raúl F. 3 Weiler, W. 3 Wieners, Christian 3 Xu, Jinchao 2 Attinger, Sabine 2 Bey, Jürgen 2 Birken, Klaus 2 Fischer, Torsten 2 Frolkovič, Peter 2 Grasedyck, Lars 2 Heisig, Michael 2 Heppner, Ingo 2 Herrmann, Eva 2 Hoffer, Michael 2 Keyes, David Elliot 2 Kinzelbach, Wolfgang 2 Krause, Rolf H. 2 Kreienbuehl, Andreas 2 Maar, Bernd 2 Mićunović, Milan V. 2 Mo, Zeyao 2 Muha, Ivo 2 Neuss, Nicolas 2 Rannacher, Rolf 2 Reichert, Henrik 2 Reisinger, Christoph 2 Ruprecht, Daniel 2 Shu, Shi 2 Stichel, Sabine 2 Wrobel, Christian 2 Zaleski, Stéphane 2 Zhong, Liuqiang 1 Albertini, Carlo 1 Bader, Georg 1 Baron, Romain 1 Bäuerle, Tobias 1 Chen, Long 1 Federico, Salvatore 1 Fritsche, R. 1 Giaquinta, Gaetano 1 Gilles, Ernst Dieter 1 Gillmann, Clarissa 1 Haar, H.-P. 1 Hebeker, Friedrich-Karl 1 Helmig, Rainer 1 Hillengaß, Jens 1 Hoffmann, Wolfgang 1 Horton, Graham 1 Ilmberger, J. 1 Jabs, Robert 1 Kawai, Hiroshi 1 Kawohl, Bernd 1 Kirkilionis, Markus A. 1 Knabner, Peter 1 Knirsch, Ralf 1 Kohlmeier, Eberhard 1 Kornhuber, Ralf 1 Kriemann, Ronald 1 Larisch, Lukas 1 Liebau, Frank 1 Liu, Yuhong 1 Löbbert, Christian 1 Mazurkevich, G. E. 1 Metzner, Michael 1 Mlynczak, Peter 1 Motz, S. 1 Paxion, S. 1 Popović, Dan 1 Qiao, Aike 1 Queisser, Gillian 1 Rentz-Reichert, Henrik 1 Schatz, Alfred H. ...and 19 more Co-Authors all top 5 Serials 28 Computing and Visualization in Science 9 Numerische Mathematik 8 Notes on Numerical Fluid Mechanics 5 Journal of Computational Physics 4 Oberwolfach Reports 3 Computing 3 SIAM Journal on Scientific Computing 3 Mathematics and Mechanics of Solids 2 Mathematics of Computation 2 IMPACT of Computing in Science and Engineering 2 Continuum Mechanics and Thermodynamics 2 Numerical Linear Algebra with Applications 2 Multiscale Modeling & Simulation 2 Lecture Notes in Computational Science and Engineering 1 Archive for Rational Mechanics and Analysis 1 Biological Cybernetics 1 Computer Methods in Applied Mechanics and Engineering 1 International Journal of Engineering Science 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 BIT 1 SIAM Journal on Scientific and Statistical Computing 1 Applied Mathematics and Mechanics. (English Edition) 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Journal of Numerical Mathematics 1 Theoretical and Applied Mechanics 1 GEM - International Journal on Geomathematics all top 5 Fields 99 Numerical analysis (65-XX) 56 Fluid mechanics (76-XX) 35 Partial differential equations (35-XX) 16 General and overarching topics; collections (00-XX) 16 Biology and other natural sciences (92-XX) 9 Mechanics of deformable solids (74-XX) 7 Geophysics (86-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Potential theory (31-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 758 times in 587 Documents Cited by ▼ Year ▼ Multi-grid methods for Stokes and Navier-Stokes equations. Transforming smoothers: Algorithms and numerical results. Zbl 0645.76031 Wittum, G. 55 1989 On the robustness of ILU smoothing. Zbl 0677.65096 Wittum, Gabriel 45 1989 Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. I: A smooth problem and globally quasi-uniform meshes. Zbl 0969.65099 Hoffmann, W.; Schatz, A. H.; Wahlbin, L. B.; Wittum, G. 40 2001 Two-phase flows on interface refined grids modeled with VOF, staggered finite volumes, and spline interpolants. Zbl 1030.76035 Ginzburg, I.; Wittum, G. 38 2001 Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Zbl 1263.78012 Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao 36 2012 Efficient hierarchical approximation of high-dimensional option pricing problems. Zbl 1151.91536 Reisinger, Christoph; Wittum, Gabriel 35 2007 Analysis and numerical studies of a problem of shape design. Zbl 0726.65071 Kawohl, Bernhard; Stara, Jana; Wittum, Gabriel 32 1991 Optimal error estimates for Nédélec edge elements for time-harmonic Maxwell’s equations. Zbl 1212.65467 Zhong, Liuqiang; Shu, Shi; Wittum, Gabriel; Xu, Jinchao 26 2009 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 26 2013 On the convergence of multi-grid methods with transforming smoothers. Zbl 0698.65061 Wittum, Gabriel 22 1990 Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193 Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore 21 2015 A massively parallel geometric multigrid solver on hierarchically distributed grids. Zbl 1380.65463 Reiter, Sebastian; Vogel, Andreas; Heppner, Ingo; Rupp, Martin; Wittum, Gabriel 19 2013 On multigrid for anisotropic equations and variational inequalities “pricing multi-dimensional European and American options”. Zbl 1111.91019 Reisinger, Christoph; Wittum, Gabriel 18 2004 Downwind numbering: Robust multigrid for convection-diffusion problems. Zbl 0879.65088 Bey, Jürgen; Wittum, Gabriel 18 1997 Homogenization and multigrid. Zbl 0992.35013 Neuss, N.; Jäger, W.; Wittum, G. 16 2001 Numerical solution of elliptic differential equations by reduction to the interface. Zbl 1043.65128 Khoromskij, Boris N.; Wittum, Gabriel 15 2004 Linear iterations as smoothers in multigrid methods: Theory with applications to incomplete decompositions. Zbl 0707.65020 Wittum, Gabriel 15 1989 A poroplastic model of structural reorganisation in porous media of biomechanical interest. Zbl 1348.74097 Grillo, Alfio; Prohl, Raphael; Wittum, Gabriel 15 2016 Parallel adaptive multigrid algorithm for 2-D 3-T diffusion equations. Zbl 1093.65091 Mo, Zeyao; Shen, Longjun; Wittum, Gabriel 13 2004 Adaptive filtering. Zbl 0897.65027 Wagner, Christian; Wittum, Gabriel 12 1997 A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods. Zbl 0928.65120 Bastian, Peter; Birken, Klaus; Johannsen, Klaus; Lang, Stefan; Reichenberger, Volker; Wieners, Christian; Wittum, Gabriel; Wrobel, Christian 12 1999 Additive and multiplicative multi-grid – a comparison. Zbl 0908.65107 Bastian, P.; Hackbusch, W.; Wittum, G. 11 1998 Adaptive multigrid methods: The UG concept. Zbl 0808.65126 Bastian, P.; Wittum, G. 11 1994 Schur-complement multigrid. A robust method for groundwater flow and transport problems. Zbl 0876.76066 Wagner, C.; Kinzelbach, W.; Wittum, G. 10 1997 Scalable shape optimization methods for structured inverse modeling in 3D diffusive processes. Zbl 1360.65240 Nägel, Arne; Schulz, Volker; Siebenborn, Martin; Wittum, Gabriel 10 2015 A generalization of the vertex-centered finite volume scheme to arbitrary high order. Zbl 1207.65128 Vogel, Andreas; Xu, Jinchao; Wittum, Gabriel 10 2010 Multigrid optimization methods for stationary parameter identification problems in groundwater flow. Zbl 0940.76080 Schulz, Volker; Wittum, Gabriel 8 1998 Filtering factorizations. Fast solvers for large scale systems of equations. (Filternde Zerlegungen. Schnelle Löser für große Gleichungssysteme.) Zbl 0748.65031 Wittum, Gabriel 8 1992 On robust and adaptive multi-grid methods. Zbl 0814.65114 Bastian, P.; Wittum, G. 8 1994 A generalised algorithm for anelastic processes in elastoplasticity and biomechanics. Zbl 1373.74105 Grillo, Alfio; Prohl, Raphael; Wittum, Gabriel 8 2017 Parallel tensor sampling in the hierarchical Tucker format. Zbl 1360.65042 Grasedyck, Lars; Kriemann, Ronald; Löbbert, Christian; Nägel, Arne; Wittum, Gabriel; Xylouris, Konstantinos 8 2015 Numerical simulation of skin transport using Parareal. Zbl 1360.65337 Kreienbuehl, Andreas; Naegel, Arne; Ruprecht, Daniel; Speck, Robert; Wittum, Gabriel; Krause, Rolf 8 2015 On the influence of different stabilisation methods for the incompressible Navier-Stokes equations. Zbl 1117.76040 Nägele, Sandra; Wittum, Gabriel 7 2007 Coarse graining for upscaling of flow in heterogeneous porous media. Zbl 1060.60054 Eberhard, Jens; Attinger, Sabine; Wittum, Gabriel 7 2004 Bridging the gap between geometric and algebraic multi-grid methods. Zbl 1030.65126 Feuchter, D.; Heppner, I.; Sauter, S. A.; Wittum, G. 7 2003 Robust multigrid methods for the incompressible Navier-Stokes equations. Zbl 0875.76459 Reichert, Henrik; Wittum, Gabriel 6 1995 A multiscale analysis of growth and diffusion dynamics in biological materials. Zbl 1213.74226 Grillo, Alfio; Wittum, Gabriel; Giaquinta, Gaetano; Mićunović, Milan V. 6 2009 Two-frequency decomposition. Zbl 1066.65049 Buzdin, A.; Wittum, G. 6 2004 Flux-based level set method for two-phase flow. Towards pure finite volume discretization of incompressible two-phase flow using a level set formulation. Zbl 1374.76166 Frolkovič, Peter; Logashenko, Dmitriy; Wittum, Gabriel 6 2008 Large-eddy simulation and multigrid methods. Zbl 1201.76093 Nägele, Sandra; Wittum, Gabriel 6 2003 A coarsening multigrid method for flow in heterogeneous porous media. Zbl 1134.76469 Eberhard, Jens; Wittum, Gabriel 5 2005 Three-dimensional simulation of the thermohaline-driven buoyancy of a brine parcel. Zbl 1216.76066 Grillo, Alfio; Lampe, Michael; Wittum, Gabriel 5 2010 Fast numerical integration for simulation of structured population equations. Zbl 1168.65327 Fischer, T.; Logashenko, D.; Kirkilionis, M.; Wittum, G. 4 2006 Parallel solution of partial differential equations with adaptive multigrid methods on unstructured grids. Zbl 0945.65139 Bastian, Peter; Birken, Klaus; Johannsen, Klaus; Lang, Stefan; Reichenberger, Volker; Wieners, Christian; Wittum, Gabriel; Wrobel, Christian 4 2000 Optimal geometrical design of Bingham parameter measurement devices. Zbl 1172.76317 Logashenko, Dmitriy; Maar, Bernd; Schulz, Volker; Wittum, Gabriel 4 2001 Robust interface reduction for highly anisotropic elliptic equations. Zbl 0926.65131 Khoromskij, Boris N.; Wittum, Gabriel 4 1998 Downwind numbering: A robust multigrid method for convection-diffusion problems on unstructured grids. Zbl 0880.76053 Bey, Jürgen; Wittum, Gabriel 4 1995 Frequency filtering for elliptic interface problems with Lagrange multipliers. Zbl 0943.65076 Khoromskij, B. N.; Mazurkevich, G. E.; Wittum, G. 3 1999 An ILU-based smoothing correction scheme. Zbl 0744.65029 Wittum, Gabriel 3 1991 Parallel frequency filtering. Zbl 0880.65080 Weiler, W.; Wittum, G. 3 1997 Distributive Iterationen für indefinite Systeme als Glätter in Mehrgitterverfahren am Beispiel der Stokes- und Navier-Stokes-Gleichungen mit Schwerpunkt auf unvollständigen Zerlegungen. (Distributive iterations for indefinite systems as smoothers in multigrid methods in the example of Stokes and Navier-Stokes equations with emphasis on incomplete splittings). Zbl 0623.65106 Wittum, Gabriel 3 1986 Forchheimer’s correction in modelling flow and transport in fractured porous media. Zbl 1388.76360 Grillo, Alfio; Logashenko, Dmitriy; Stichel, Sabine; Wittum, Gabriel 3 2012 Numerical simulation of contaminant transport in groundwater using software tools of \(r^3t\). Zbl 1360.76007 Frolkovič, Peter; Lampe, Michael; Wittum, Gabriel 3 2016 On truncated incomplete decompositions. Zbl 0687.65026 Wittum, Gabriel; Liebau, Frank 2 1989 Parallel large eddy simulation with UG. Zbl 1391.76222 Hauser, Andreas; Wittum, Gabriel 2 2007 Numerical methods for parameter estimation in Bingham fluids. Zbl 1076.76573 Wittum, Gabriel; Schulz, Volker; Maar, Bernd; Logashenko, Dmitriy 2 2003 Shifted iterations. Zbl 0885.65032 Wittum, G. 2 1997 Discretization and iterative solution of convection diffusion equations. Zbl 0787.65082 Kornhuber, R.; Wittum, G. 2 1993 Transforming smoothers for PDE constrained optimization problems. Zbl 1522.65107 Schulz, Volker; Wittum, Gabriel 2 2008 Dimension-wise decompositions and their efficient parallelization. Zbl 1275.91148 Schröder, Philipp; Mlynczak, Peter; Wittum, Gabriel 2 2013 An asymptotically optimal Schur complement reduction for the Stokes equation. Zbl 0947.76054 Khoromskij, Boris N.; Wittum, Gabriel 1 1999 Robust Schur complement method for strongly anisotropic elliptic equations. Zbl 0982.65133 Khoromskij, Boris N.; Wittum, Gabriel 1 1999 A geometry model for the simulation of drug diffusion through the stratum corneum. Zbl 1511.92031 Feuchter, D.; Heisig, M.; Wittum, G. 1 2006 Simulation of crystal growth and attrition in a stirred tank. Zbl 1512.76090 Logashenko, D.; Fischer, T.; Motz, S.; Gilles, E. D.; Wittum, G. 1 2006 A comparison of smoothers and numbering strategies for laminar flow around a cylinder. Zbl 0874.76067 Rentz-Reichert, Henrik; Wittum, Gabriel 1 1996 Boundary elements: implementation and analysis of advanced algorithms. Proceedings of the 12th GAMM-Seminar, Kiel, Germany, January 19-21, 1996. Zbl 0871.00042 1 1996 Robust iterative methods for elliptic problems with highly varying coefficients in thin substructures. Zbl 0857.65033 Khoromskij, B. N.; Wittum, G. 1 1996 Multigrid analysis of spatially resolved hepatitis C virus protein simulations. Zbl 1388.92004 Knodel, Markus M.; Nägel, Arne; Reiter, Sebastian; Rupp, Martin; Vogel, Andreas; Targett-Adams, Paul; Herrmann, Eva; Wittum, Gabriel 1 2015 Adaptive large eddy simulation. Zbl 1367.76031 Hauser, Andreas; Wittum, G. 1 2015 Rotational test spaces for a fully-implicit FVM and FEM for the DNS of fluid-particle interaction. Zbl 1452.76117 Höllbacher, Susanne; Wittum, Gabriel 1 2019 Gradient-consistent enrichment of finite element spaces for the DNS of fluid-particle interaction. Zbl 1453.76096 Höllbacher, Susanne; Wittum, Gabriel 1 2020 Mesh generation for thin layered domains and its application to parallel multigrid simulation of groundwater flow. Zbl 07704906 Reiter, Sebastian; Logashenko, Dmitry; Vogel, Andreas; Wittum, Gabriel 1 2020 IBLU decompositions based on Padé approximants. Zbl 1212.65124 Buzdin, A.; Logashenko, D.; Wittum, G. 1 2008 A sharp interface method using enriched finite elements for elliptic interface problems. Zbl 1464.65176 Höllbacher, Susanne; Wittum, Gabriel 1 2021 Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability. Zbl 1434.76016 Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David 1 2020 Propagation of uncertainties in density-driven flow. Zbl 1497.76097 Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David 1 2021 A sharp interface method using enriched finite elements for elliptic interface problems. Zbl 1464.65176 Höllbacher, Susanne; Wittum, Gabriel 1 2021 Propagation of uncertainties in density-driven flow. Zbl 1497.76097 Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David 1 2021 Gradient-consistent enrichment of finite element spaces for the DNS of fluid-particle interaction. Zbl 1453.76096 Höllbacher, Susanne; Wittum, Gabriel 1 2020 Mesh generation for thin layered domains and its application to parallel multigrid simulation of groundwater flow. Zbl 07704906 Reiter, Sebastian; Logashenko, Dmitry; Vogel, Andreas; Wittum, Gabriel 1 2020 Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability. Zbl 1434.76016 Litvinenko, Alexander; Logashenko, Dmitry; Tempone, Raul; Wittum, Gabriel; Keyes, David 1 2020 Rotational test spaces for a fully-implicit FVM and FEM for the DNS of fluid-particle interaction. Zbl 1452.76117 Höllbacher, Susanne; Wittum, Gabriel 1 2019 A generalised algorithm for anelastic processes in elastoplasticity and biomechanics. Zbl 1373.74105 Grillo, Alfio; Prohl, Raphael; Wittum, Gabriel 8 2017 A poroplastic model of structural reorganisation in porous media of biomechanical interest. Zbl 1348.74097 Grillo, Alfio; Prohl, Raphael; Wittum, Gabriel 15 2016 Numerical simulation of contaminant transport in groundwater using software tools of \(r^3t\). Zbl 1360.76007 Frolkovič, Peter; Lampe, Michael; Wittum, Gabriel 3 2016 Remodelling in statistically oriented fibre-reinforced materials and biological tissues. Zbl 1329.74193 Grillo, Alfio; Wittum, Gabriel; Tomic, Aleksandar; Federico, Salvatore 21 2015 Scalable shape optimization methods for structured inverse modeling in 3D diffusive processes. Zbl 1360.65240 Nägel, Arne; Schulz, Volker; Siebenborn, Martin; Wittum, Gabriel 10 2015 Parallel tensor sampling in the hierarchical Tucker format. Zbl 1360.65042 Grasedyck, Lars; Kriemann, Ronald; Löbbert, Christian; Nägel, Arne; Wittum, Gabriel; Xylouris, Konstantinos 8 2015 Numerical simulation of skin transport using Parareal. Zbl 1360.65337 Kreienbuehl, Andreas; Naegel, Arne; Ruprecht, Daniel; Speck, Robert; Wittum, Gabriel; Krause, Rolf 8 2015 Multigrid analysis of spatially resolved hepatitis C virus protein simulations. Zbl 1388.92004 Knodel, Markus M.; Nägel, Arne; Reiter, Sebastian; Rupp, Martin; Vogel, Andreas; Targett-Adams, Paul; Herrmann, Eva; Wittum, Gabriel 1 2015 Adaptive large eddy simulation. Zbl 1367.76031 Hauser, Andreas; Wittum, G. 1 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 26 2013 A massively parallel geometric multigrid solver on hierarchically distributed grids. Zbl 1380.65463 Reiter, Sebastian; Vogel, Andreas; Heppner, Ingo; Rupp, Martin; Wittum, Gabriel 19 2013 Dimension-wise decompositions and their efficient parallelization. Zbl 1275.91148 Schröder, Philipp; Mlynczak, Peter; Wittum, Gabriel 2 2013 Convergence and optimality of adaptive edge finite element methods for time-harmonic Maxwell equations. Zbl 1263.78012 Zhong, Liuqiang; Chen, Long; Shu, Shi; Wittum, Gabriel; Xu, Jinchao 36 2012 Forchheimer’s correction in modelling flow and transport in fractured porous media. Zbl 1388.76360 Grillo, Alfio; Logashenko, Dmitriy; Stichel, Sabine; Wittum, Gabriel 3 2012 A generalization of the vertex-centered finite volume scheme to arbitrary high order. Zbl 1207.65128 Vogel, Andreas; Xu, Jinchao; Wittum, Gabriel 10 2010 Three-dimensional simulation of the thermohaline-driven buoyancy of a brine parcel. Zbl 1216.76066 Grillo, Alfio; Lampe, Michael; Wittum, Gabriel 5 2010 Optimal error estimates for Nédélec edge elements for time-harmonic Maxwell’s equations. Zbl 1212.65467 Zhong, Liuqiang; Shu, Shi; Wittum, Gabriel; Xu, Jinchao 26 2009 A multiscale analysis of growth and diffusion dynamics in biological materials. Zbl 1213.74226 Grillo, Alfio; Wittum, Gabriel; Giaquinta, Gaetano; Mićunović, Milan V. 6 2009 Flux-based level set method for two-phase flow. Towards pure finite volume discretization of incompressible two-phase flow using a level set formulation. Zbl 1374.76166 Frolkovič, Peter; Logashenko, Dmitriy; Wittum, Gabriel 6 2008 Transforming smoothers for PDE constrained optimization problems. Zbl 1522.65107 Schulz, Volker; Wittum, Gabriel 2 2008 IBLU decompositions based on Padé approximants. Zbl 1212.65124 Buzdin, A.; Logashenko, D.; Wittum, G. 1 2008 Efficient hierarchical approximation of high-dimensional option pricing problems. Zbl 1151.91536 Reisinger, Christoph; Wittum, Gabriel 35 2007 On the influence of different stabilisation methods for the incompressible Navier-Stokes equations. Zbl 1117.76040 Nägele, Sandra; Wittum, Gabriel 7 2007 Parallel large eddy simulation with UG. Zbl 1391.76222 Hauser, Andreas; Wittum, Gabriel 2 2007 Fast numerical integration for simulation of structured population equations. Zbl 1168.65327 Fischer, T.; Logashenko, D.; Kirkilionis, M.; Wittum, G. 4 2006 A geometry model for the simulation of drug diffusion through the stratum corneum. Zbl 1511.92031 Feuchter, D.; Heisig, M.; Wittum, G. 1 2006 Simulation of crystal growth and attrition in a stirred tank. Zbl 1512.76090 Logashenko, D.; Fischer, T.; Motz, S.; Gilles, E. D.; Wittum, G. 1 2006 A coarsening multigrid method for flow in heterogeneous porous media. Zbl 1134.76469 Eberhard, Jens; Wittum, Gabriel 5 2005 On multigrid for anisotropic equations and variational inequalities “pricing multi-dimensional European and American options”. Zbl 1111.91019 Reisinger, Christoph; Wittum, Gabriel 18 2004 Numerical solution of elliptic differential equations by reduction to the interface. Zbl 1043.65128 Khoromskij, Boris N.; Wittum, Gabriel 15 2004 Parallel adaptive multigrid algorithm for 2-D 3-T diffusion equations. Zbl 1093.65091 Mo, Zeyao; Shen, Longjun; Wittum, Gabriel 13 2004 Coarse graining for upscaling of flow in heterogeneous porous media. Zbl 1060.60054 Eberhard, Jens; Attinger, Sabine; Wittum, Gabriel 7 2004 Two-frequency decomposition. Zbl 1066.65049 Buzdin, A.; Wittum, G. 6 2004 Bridging the gap between geometric and algebraic multi-grid methods. Zbl 1030.65126 Feuchter, D.; Heppner, I.; Sauter, S. A.; Wittum, G. 7 2003 Large-eddy simulation and multigrid methods. Zbl 1201.76093 Nägele, Sandra; Wittum, Gabriel 6 2003 Numerical methods for parameter estimation in Bingham fluids. Zbl 1076.76573 Wittum, Gabriel; Schulz, Volker; Maar, Bernd; Logashenko, Dmitriy 2 2003 Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. I: A smooth problem and globally quasi-uniform meshes. Zbl 0969.65099 Hoffmann, W.; Schatz, A. H.; Wahlbin, L. B.; Wittum, G. 40 2001 Two-phase flows on interface refined grids modeled with VOF, staggered finite volumes, and spline interpolants. Zbl 1030.76035 Ginzburg, I.; Wittum, G. 38 2001 Homogenization and multigrid. Zbl 0992.35013 Neuss, N.; Jäger, W.; Wittum, G. 16 2001 Optimal geometrical design of Bingham parameter measurement devices. Zbl 1172.76317 Logashenko, Dmitriy; Maar, Bernd; Schulz, Volker; Wittum, Gabriel 4 2001 Parallel solution of partial differential equations with adaptive multigrid methods on unstructured grids. Zbl 0945.65139 Bastian, Peter; Birken, Klaus; Johannsen, Klaus; Lang, Stefan; Reichenberger, Volker; Wieners, Christian; Wittum, Gabriel; Wrobel, Christian 4 2000 A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods. Zbl 0928.65120 Bastian, Peter; Birken, Klaus; Johannsen, Klaus; Lang, Stefan; Reichenberger, Volker; Wieners, Christian; Wittum, Gabriel; Wrobel, Christian 12 1999 Frequency filtering for elliptic interface problems with Lagrange multipliers. Zbl 0943.65076 Khoromskij, B. N.; Mazurkevich, G. E.; Wittum, G. 3 1999 An asymptotically optimal Schur complement reduction for the Stokes equation. Zbl 0947.76054 Khoromskij, Boris N.; Wittum, Gabriel 1 1999 Robust Schur complement method for strongly anisotropic elliptic equations. Zbl 0982.65133 Khoromskij, Boris N.; Wittum, Gabriel 1 1999 Additive and multiplicative multi-grid – a comparison. Zbl 0908.65107 Bastian, P.; Hackbusch, W.; Wittum, G. 11 1998 Multigrid optimization methods for stationary parameter identification problems in groundwater flow. Zbl 0940.76080 Schulz, Volker; Wittum, Gabriel 8 1998 Robust interface reduction for highly anisotropic elliptic equations. Zbl 0926.65131 Khoromskij, Boris N.; Wittum, Gabriel 4 1998 Downwind numbering: Robust multigrid for convection-diffusion problems. Zbl 0879.65088 Bey, Jürgen; Wittum, Gabriel 18 1997 Adaptive filtering. Zbl 0897.65027 Wagner, Christian; Wittum, Gabriel 12 1997 Schur-complement multigrid. A robust method for groundwater flow and transport problems. Zbl 0876.76066 Wagner, C.; Kinzelbach, W.; Wittum, G. 10 1997 Parallel frequency filtering. Zbl 0880.65080 Weiler, W.; Wittum, G. 3 1997 Shifted iterations. Zbl 0885.65032 Wittum, G. 2 1997 A comparison of smoothers and numbering strategies for laminar flow around a cylinder. Zbl 0874.76067 Rentz-Reichert, Henrik; Wittum, Gabriel 1 1996 Boundary elements: implementation and analysis of advanced algorithms. Proceedings of the 12th GAMM-Seminar, Kiel, Germany, January 19-21, 1996. Zbl 0871.00042 1 1996 Robust iterative methods for elliptic problems with highly varying coefficients in thin substructures. Zbl 0857.65033 Khoromskij, B. N.; Wittum, G. 1 1996 Robust multigrid methods for the incompressible Navier-Stokes equations. Zbl 0875.76459 Reichert, Henrik; Wittum, Gabriel 6 1995 Downwind numbering: A robust multigrid method for convection-diffusion problems on unstructured grids. Zbl 0880.76053 Bey, Jürgen; Wittum, Gabriel 4 1995 Adaptive multigrid methods: The UG concept. Zbl 0808.65126 Bastian, P.; Wittum, G. 11 1994 On robust and adaptive multi-grid methods. Zbl 0814.65114 Bastian, P.; Wittum, G. 8 1994 Discretization and iterative solution of convection diffusion equations. Zbl 0787.65082 Kornhuber, R.; Wittum, G. 2 1993 Filtering factorizations. Fast solvers for large scale systems of equations. (Filternde Zerlegungen. Schnelle Löser für große Gleichungssysteme.) Zbl 0748.65031 Wittum, Gabriel 8 1992 Analysis and numerical studies of a problem of shape design. Zbl 0726.65071 Kawohl, Bernhard; Stara, Jana; Wittum, Gabriel 32 1991 An ILU-based smoothing correction scheme. Zbl 0744.65029 Wittum, Gabriel 3 1991 On the convergence of multi-grid methods with transforming smoothers. Zbl 0698.65061 Wittum, Gabriel 22 1990 Multi-grid methods for Stokes and Navier-Stokes equations. Transforming smoothers: Algorithms and numerical results. Zbl 0645.76031 Wittum, G. 55 1989 On the robustness of ILU smoothing. Zbl 0677.65096 Wittum, Gabriel 45 1989 Linear iterations as smoothers in multigrid methods: Theory with applications to incomplete decompositions. Zbl 0707.65020 Wittum, Gabriel 15 1989 On truncated incomplete decompositions. Zbl 0687.65026 Wittum, Gabriel; Liebau, Frank 2 1989 Distributive Iterationen für indefinite Systeme als Glätter in Mehrgitterverfahren am Beispiel der Stokes- und Navier-Stokes-Gleichungen mit Schwerpunkt auf unvollständigen Zerlegungen. (Distributive iterations for indefinite systems as smoothers in multigrid methods in the example of Stokes and Navier-Stokes equations with emphasis on incomplete splittings). Zbl 0623.65106 Wittum, Gabriel 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 966 Authors 43 Wittum, Gabriel 15 Li, Jichun 13 Grillo, Alfio 12 Huang, Yunqing 10 Oosterlee, Cornelis Willebrordus 10 Schulz, Volker H. 10 Yang, Wei 9 Federico, Salvatore 9 Hackbusch, Wolfgang 9 Nägel, Arne 8 Casado-Díaz, Juan 8 Shu, Shi 8 Siebenborn, Martin 8 Xu, Jinchao 7 Chen, Long 7 Giorgio, Ivan 7 He, Wenming 7 Logashenko, Dmitry 6 Carstensen, Carsten 6 Demlow, Alan 6 Frolkovič, Peter 6 Khoromskiĭ, Boris Nikolaevich 6 Liu, Huipo 6 Nataf, Frédéric 5 Carfagna, Melania 5 dell’Isola, Francesco 5 Distefano, Salvatore 5 Gaspar, Francisco José 5 Gazzola, Filippo 5 Griebel, Michael 5 Grigori, Laura 5 Knodel, Markus M. 5 Ku, Jaeun 5 Niu, Qiang 5 Reiter, Sebastian 5 Rizzi, Nicola Luigi 5 Sauter, Stefan 5 Vogel, Andreas 5 Welker, Kathrin 5 Xu, Xiaowen 5 Zhong, Liuqiang 4 Borzì, Alfio 4 Bringmann, Philipp 4 Gander, Martin Jakob 4 Hoppe, Ronald H. W. 4 John, Volker 4 MacLachlan, Scott P. 4 Peng, Gang 4 Placidi, Luca 4 Queisser, Gillian 4 Scerrato, Daria 4 Turco, Emilio 4 Yue, Xiaoqiang 3 Alhasadi, Mawafag F. 3 An, Hengbin 3 Bank, Randolph E. 3 Bastian, Peter 3 Berchio, Elvise 3 Breit, Markus 3 Bungartz, Hans-Joachim 3 Cai, Zhiqiang 3 Chan, Tony Fan-Cheong 3 Chaumont-Frelet, Théophile 3 Chen, Huangxin 3 Company, Rafael 3 Conca, Carlos 3 Crasta, Graziano 3 Dolgov, Sergey V. 3 Efendiev, Yalchin R. 3 Egorova, Vera N. 3 Elman, Howard C. 3 Feng, Xinlong 3 Gao, Zhiming 3 Gomez, Pablo 3 Grasedyck, Lars 3 Guzmán, Johnny 3 He, Bin 3 He, Yunhui 3 Hernández, Juan José 3 Höllbacher, Susanne 3 Jódar Sanchez, Lucas Antonio 3 Kawohl, Bernd 3 Krause, Rolf H. 3 Kumar, Pawan 3 Lisbona Cortés, Francisco Javier 3 Litvinenko, Alexander 3 López, Joaquín 3 Lu, Peipei 3 Mikula, Karol 3 Notay, Yvan 3 Pavarino, Luca Franco 3 Qiu, Weifeng 3 Rodrigo, Carmen 3 Rupp, Martin 3 Schatz, Alfred H. 3 Shi, Ke 3 Soleymani, Fazlollah 3 Tempone, Raúl F. 3 Toivanen, Jari 3 Vásquez-Varas, Donato ...and 866 more Authors all top 5 Cited in 131 Serials 59 Journal of Computational Physics 43 Computing and Visualization in Science 35 Journal of Computational and Applied Mathematics 30 Computer Methods in Applied Mechanics and Engineering 22 Computers & Mathematics with Applications 20 Numerische Mathematik 20 Applied Numerical Mathematics 18 Mathematics of Computation 15 SIAM Journal on Scientific Computing 15 Numerical Linear Algebra with Applications 13 SIAM Journal on Numerical Analysis 13 Journal of Scientific Computing 12 ZAMP. 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Theory, Methods & Applications. Series A: Theory and Methods 1 Advances in Applied Mathematics 1 Applied Mathematics and Mechanics. (English Edition) 1 Chinese Annals of Mathematics. Series B 1 Computer Aided Geometric Design 1 Constructive Approximation 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Science in China. Series A 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Mathematical Analysis 1 SIAM Review 1 Journal of Dynamics and Differential Equations 1 SIAM Journal on Optimization 1 Calculus of Variations and Partial Differential Equations 1 Applied and Computational Harmonic Analysis 1 Fractals 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of Convex Analysis 1 Finance and Stochastics 1 Vietnam Journal of Mathematics 1 Mathematical Methods of Operations Research ...and 31 more Serials all top 5 Cited in 37 Fields 423 Numerical analysis (65-XX) 203 Partial differential equations (35-XX) 158 Fluid mechanics (76-XX) 85 Mechanics of deformable solids (74-XX) 59 Calculus of variations and optimal control; optimization (49-XX) 45 Optics, electromagnetic theory (78-XX) 41 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 28 Biology and other natural sciences (92-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 12 Probability theory and stochastic processes (60-XX) 12 Operations research, mathematical programming (90-XX) 8 Computer science (68-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Approximations and expansions (41-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Statistics (62-XX) 4 Systems theory; control (93-XX) 3 General and overarching topics; collections (00-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Combinatorics (05-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Quantum theory (81-XX) Citations by Year