Edit Profile (opens in new tab) Rannacher, Rolf Co-Author Distance Author ID: rannacher.rolf Published as: Rannacher, Rolf; Rannacher, R. Homepage: https://ganymed.math.uni-heidelberg.de/~rannache/ External Links: MGP · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 145 Publications since 1975, including 1 Book 26 Contributions as Editor · 1 Further Contribution Co-Authors: 95 Co-Authors with 130 Joint Publications 3,491 Co-Co-Authors all top 5 Co-Authors 42 single-authored 16 Becker, Roland 12 Heywood, John G. 9 Galdi, Giovanni Paolo 9 Turek, Stefan 7 Heuveline, Vincent 7 Vexler, Boris 6 Blum, Heribert 6 Braack, Malte 5 Bock, Hans Georg 5 Kanschat, Guido 4 Bangerth, Wolfgang 4 Carraro, Thomas 4 Richter, Thomas 4 Suttmeier, Franz-Theo 4 Wollner, Winnifried 3 Dunne, Thomas 3 Frehse, Jens 3 Führer, Christian 3 Geiger, Michael Ernst 3 Hebeker, Friedrich-Karl 3 Hoàng Xuân Phù 3 Jäger, Willi 3 Johnson, Claes G. L. 3 Meidner, Dominik 3 Meinköhn, Erik 3 Süli, Endre E. 3 Vihharev, Jevgeni 3 Wehrse, Rainer 3 Zhou, Guohui 2 Bönisch, Sebastian 2 Engell, Sebastian 2 Frei, Stefan 2 Friedmann, Elfriede 2 Griewank, Andreas 2 Hinze, Michael 2 Hujeirat, Ahmad 2 Kapp, Hartmut Ulrich 2 Kirkilionis, Markus A. 2 Körkel, Stefan 2 Kostina, Ekaterina A. 2 Krömker, Susanne 2 Leugering, Günter 2 Luskin, Mitchell 2 Maier, Matthias Sebastian 2 Schäfer, Michael 2 Schlöder, Johannes P. 2 Tomi, Friedrich 2 Ulbrich, Stefan 2 Wendland, Wolfgang L. 2 Wittum, Gabriel 1 Bader, Georg 1 Becker, Christian 1 Benner, Peter 1 Besier, Michael 1 Boman, Mats 1 Brezzi, Franco 1 Chen, Hongsen 1 Claus, Juliane 1 Dobrowolski, Manfred 1 Durst, Franz 1 Feistauer, Miloslav 1 Fursikov, Andreĭ Vladimirovich 1 Gerecht, Daniel 1 Glowinski, Roland 1 Hackbusch, Wolfgang 1 Harbrecht, Helmut 1 Hoppe, Ronald H. W. 1 Houston, Paul 1 Hu, Jun 1 Klingmüller, Ursula 1 Knabner, Peter 1 Knauf, Stefan 1 Kozel, Karel 1 Kunisch, Karl 1 Kunoth, Angela 1 Kuznetsov, Yuriĭ Alekseevich 1 Lin, Qun 1 Lisky, S. 1 Müller, Steffen 1 Nabh, Guido 1 Périaux, Jacques F. 1 Peter, Malte Andreas 1 Prohl, Andreas 1 Robertson, Anne M. 1 Schulz, Volker H. 1 Scott, Larkin Ridgway 1 Sequeira, Adélia 1 Shi, Zhongci 1 Szekeres, T. 1 Ulbrich, Michael 1 Verführt, Rüdiger 1 Verfürth, Rüdiger 1 Waguet, Cyrille 1 Warnatz, Jürgen 1 Westenberger, Ana 1 Xu, Xuejun all top 5 Serials 8 SIAM Journal on Numerical Analysis 7 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 6 Journal of Numerical Mathematics 5 East-West Journal of Numerical Mathematics 4 International Journal for Numerical Methods in Fluids 4 Numerische Mathematik 4 SIAM Journal on Control and Optimization 4 Computational Mechanics 4 Journal of Mathematical Fluid Mechanics 4 Oberwolfach Reports 3 Computer Methods in Applied Mechanics and Engineering 3 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Calcolo 2 Computing 2 Mathematische Zeitschrift 2 RAIRO. Analyse Numérique 2 Numerical Methods for Partial Differential Equations 2 Applications of Mathematics 2 SIAM Journal on Scientific Computing 2 Vietnam Journal of Mathematics 2 Computational Methods in Applied Mathematics 2 ISNM. International Series of Numerical Mathematics 2 Notes on Numerical Fluid Mechanics 2 Contributions in Mathematical and Computational Sciences 1 Applicable Analysis 1 Journal of Mathematical Biology 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Journal of Computational and Applied Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Journal of Computational Mathematics 1 Advances in Computational Mathematics 1 Computing and Visualization in Science 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Combustion Theory and Modelling 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Journal of Computational Acoustics 1 GAMM-Mitteilungen 1 Bonner Mathematische Schriften 1 Quaderni di Matematica 1 Oberwolfach Seminars 1 Communications in Mathematical Analysis 1 Discrete and Continuous Dynamical Systems. Series S 1 Advances in Mathematical Fluid Mechanics 1 Contemporary Challenges in Mathematical Fluid Dynamics and Its Applications all top 5 Fields 117 Numerical analysis (65-XX) 73 Fluid mechanics (76-XX) 71 Partial differential equations (35-XX) 27 General and overarching topics; collections (00-XX) 25 Mechanics of deformable solids (74-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 9 Biology and other natural sciences (92-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 5 Astronomy and astrophysics (85-XX) 5 Operations research, mathematical programming (90-XX) 4 History and biography (01-XX) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 136 Publications have been cited 5,327 times in 3,813 Documents Cited by ▼ Year ▼ Finite-element approximation of the nonstationary Navier-Stokes problem. IV: Error analysis for second-order time discretization. Zbl 0694.76014 Heywood, John G.; Rannacher, Rolf 546 1990 Finite element approximation of the nonstationary Navier-Stokes problem. I. Regularity of solutions and second-order error estimates for spatial discretization. Zbl 0487.76035 Heywood, John G.; Rannacher, Rolf 491 1982 An optimal control approach to a posteriori error estimation in finite element methods. Zbl 1105.65349 Becker, Roland; Rannacher, Rolf 464 2001 Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051 Rannacher, R.; Turek, S. 324 1992 Adaptive finite element methods for differential equations. Zbl 1020.65058 Bangerth, Wolfgang; Rannacher, Rolf 298 2003 Benchmark computations of laminar flow around a cylinder. (With support by F. Durst, E. Krause and R. Rannacher). Zbl 0874.76070 Schäfer, M.; Turek, S. 252 1996 Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Zbl 0863.76016 Heywood, John G.; Rannacher, Rolf; Turek, Stefan 243 1996 A feed-back approach to error control in finite element methods: Basic analysis and examples. Zbl 0868.65076 Becker, R.; Rannacher, R. 214 1996 On the boundary value problem of the biharmonic operator on domains with angular corners. Zbl 0445.35023 Blum, H.; Rannacher, R. 199 1980 Some optimal error estimates for piecewise linear finite element approximations. Zbl 0483.65007 Rannacher, Rolf; Scott, Ridgway 182 1982 Adaptive finite element methods for optimal control of partial differential equations: Basic concept. Zbl 0967.65080 Becker, Roland; Kapp, Hartmut; Rannacher, Rolf 148 2000 On Chorin’s projection method for the incompressible Navier-Stokes equations. Zbl 0769.76053 Rannacher, Rolf 102 1992 Finite element solution of diffusion problems with irregular data. Zbl 0512.65082 Rannacher, Rolf 93 1984 A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111 Heuveline, Vincent; Rannacher, Rolf 82 2001 Finite element approximation of the nonstationary Navier-Stokes problem. III: Smoothing property and higher order error estimates for spatial discretization. Zbl 0646.76036 Heywood, John G.; Rannacher, Rolf 81 1988 Weighted a posteriori error control in FE methods. Zbl 0968.65083 Becker, R.; Rannacher, R. 71 1998 Finite element approximation of the nonstationary Navier-Stokes problem. II. Stability of solutions and error estimates uniform in time. Zbl 0611.76036 Heywood, John G.; Rannacher, Rolf 70 1986 On the smoothing property of the Galerkin method for parabolic equations. Zbl 0483.65064 Luskin, Mitchell; Rannacher, Rolf 63 1982 Asymptotic error expansion and Richardson extrapolation for linear finite elements. Zbl 0594.65082 Blum, H.; Lin, Q.; Rannacher, R. 62 1986 Nonconforming finite element methods for eigenvalue problems in linear plate theory. Zbl 0394.65035 Rannacher, Rolf 62 1979 A feed-back approach to error control in finite element methods: Application to linear elasticity. Zbl 0894.73170 Rannacher, R.; Suttmeier, F.-T. 56 1997 Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1273.65087 May, S.; Rannacher, R.; Vexler, B. 56 2013 Adaptive Galerkin finite element methods for the wave equation. Zbl 1283.35053 Bangerth, W.; Geiger, Michael; Rannacher, R. 51 2010 Finite element approximation of the acoustic wave equation: Error control and mesh adaptation. Zbl 0948.65098 Bangerth, W.; Rannacher, R. 50 1999 Adaptive error control for multigrid finite element methods. Zbl 0848.65074 Becker, R.; Johnson, C.; Rannacher, R. 46 1995 On the smoothing property of the Crank-Nicolson scheme. Zbl 0476.65062 Luskin, Mitchell; Rannacher, Rolf 46 1982 Asymptotic \(L^\infty\)-error estimates for linear finite element approximations of quasilinear boundary value problems. Zbl 0386.65049 Frehse, Jens; Rannacher, Rolf 44 1978 A priori error estimates for finite element discretizations of parabolic optimization problems with pointwise state constraints in time. Zbl 1234.49029 Meidner, Dominik; Rannacher, Rolf; Vexler, Boris 41 2011 Goal-oriented space-time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow. Zbl 1412.76060 Besier, Michael; Rannacher, Rolf 40 2012 A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity. Zbl 0954.74070 Rannacher, Rolf; Suttmeier, Franz-Theo 37 1999 Finite element methods for the incompressible Navier-Stokes equations. Zbl 1107.76353 Rannacher, Rolf 36 2000 Numerics and hydrodynamic stability: Toward error control in computational fluid dynamics. Zbl 0833.76063 Johnson, Claes; Rannacher, Rolf; Boman, Mats 32 1995 A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity. Zbl 0910.73064 Rannacher, R.; Suttmeier, F.-T. 32 1998 A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115 Houston, Paul; Rannacher, Rolf; Süli, Endre 31 2000 Hemodynamical flows. Modeling, analysis and simulation. Papers based on the presentations at the Oberwolfach seminar ‘Hemodynamical flows: Aspects of modeling, analysis and simulation’, Oberwolfach, Germany, November 20–26, 2005. Zbl 1137.76005 31 2008 Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340 Meidner, D.; Rannacher, R.; Vihharev, J. 30 2009 Eine \(L^1\)-Fehlerabschätzung für diskrete Grundlösungen in der Methode der finiten Elemente. Zbl 0359.65093 Frehse, J.; Rannacher, R. 29 1976 Zur \(L^\infty\)-Konvergenz linearer finiter Elemente beim Dirichlet- Problem. Zbl 0321.65055 Rannacher, Rolf 26 1976 A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements. Zbl 1113.65102 Rannacher, R.; Vexler, B. 25 2006 On nonconforming and mixed finite element methods for plate bending problems. The linear case. Zbl 0425.35042 Rannacher, Rolf 25 1979 Adaptive finite element techniques for the acoustic wave equation. Zbl 1360.76122 Bangerth, Wolfgang; Rannacher, Rolf 24 2001 Duality-based adaptivity in the \(hp\)-finite element method. Zbl 1050.65111 Heuveline, V.; Rannacher, R. 23 2003 Adaptive Galerkin finite element methods for partial differential equations. Zbl 0976.65101 Rannacher, R. 23 2001 Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184 Rannacher, R.; Vihharev, J. 23 2013 Adaptive finite element approximation of fluid-structure interaction based on an Eulerian variational formulation. Zbl 1323.74082 Dunne, Thomas; Rannacher, Rolf 23 2006 Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001 23 2012 Numerical simulation of laminar flames at low Mach number by adaptive finite elements. Zbl 0951.76035 Becker, R.; Braack, M.; Rannacher, R. 21 1999 Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123 Rannacher, R.; Westenberger, A.; Wollner, W. 21 2010 Finite element methods for nonlinear elliptic systems of second order. Zbl 0444.65077 Dobrowolski, Manfred; Rannacher, Rolf 20 1980 On the question of turbulence modeling by approximate inertial manifolds and the nonlinear Galerkin method. Zbl 0791.76042 Heywood, John G.; Rannacher, Rolf 19 1993 Numerical simulation of fluid-structure interaction based on monolithic variational formulations. Zbl 1423.76227 Dunne, Th.; Rannacher, R.; Richter, Th. 19 2010 Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123 Kanschat, G.; Rannacher, R. 17 2002 Fundamental trends in fluid-structure interaction. Zbl 1410.76010 17 2010 Pointwise superconvergence of the streamline diffusion finite-element method. Zbl 0841.65092 Zhou, Guohui; Rannacher, Rolf 17 1996 A domain splitting algorithm for parabolic problems. Zbl 0767.65073 Blum, H.; Lisky, S.; Rannacher, R. 16 1992 On mixed finite element methods in plate bending analysis. I: The first Herrmann scheme. Zbl 0736.73061 Blum, H.; Rannacher, R. 16 1990 Adaptive finite element methods for PDE-constrained optimal control problems. Zbl 1398.76196 Becker, R.; Braack, M.; Meidner, D.; Rannacher, R.; Vexler, B. 16 2007 A posteriori error estimation in least-squares stabilized finite element schemes. Zbl 0934.65118 Rannacher, Rolf 15 1998 Error control in finite element computations. An introduction to error estimation and mesh-size adaptation. Zbl 0943.65123 Rannacher, R. 15 1999 Discretization of the heat equation with singular initial data. Zbl 0503.65060 Rannacher, R. 15 1982 Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method. Zbl 0649.65060 Blum, H.; Rannacher, R. 15 1988 On the numerical solution of the incompressible Navier-Stokes equations. Zbl 0798.76069 Rannacher, R. 14 1993 Finite element eigenvalue computation on domains with reentrant corners using Richardson extrapolation. Zbl 0719.65077 Blum, H.; Rannacher, R. 14 1990 Trends in PDE constrained optimization. Zbl 1306.49001 12 2014 Fundamental directions in mathematical fluid mechanics. Zbl 0948.00020 11 2000 Optimal Neumann control for the two-dimensional steady-state Navier-Stokes equations. Zbl 1200.35214 Fursikov, A. V.; Rannacher, R. 11 2010 Finite element solution of the incompressible Navier-Stokes equations on anisotropically refined meshes. Zbl 0880.76036 Becker, Roland; Rannacher, Rolf 10 1995 \(L^ \infty\)-stability estimates and asymptotic error expansion for parabolic finite element equations. Zbl 0748.65072 Rannacher, Rolf 10 1991 A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator. Zbl 1273.65164 Frei, S.; Rannacher, R.; Wollner, W. 10 2013 An optimal control approach to adaptivity in computational fluid mechanics. Zbl 1047.76016 Becker, R.; Heuveline, V.; Rannacher, R. 9 2002 Numerical analysis of the Navier-Stokes equations. Zbl 0798.76041 Rannacher, Rolf 9 1993 Adaptive FEM for eigenvalue problems. Zbl 1043.65122 Heuveline, V.; Rannacher, R. 9 2003 An analysis of stability concepts for the Navier-Stokes equations. Zbl 0598.35091 Heywood, John G.; Rannacher, Rolf 9 1986 An adaptive streamline-diffusion finite element method for hyperbolic conservation laws. Zbl 0885.65107 Führer, C.; Rannacher, R. 8 1997 An adaptive finite element method for unsteady convection-dominated flows with stiff source terms. Zbl 0959.76043 Hebeker, Friedrich K.; Rannacher, Rolf 8 1999 Indirect multiple shooting for nonlinear parabolic optimal control problems with control constraints. Zbl 1294.49017 Carraro, T.; Geiger, Michael; Rannacher, R. 8 2014 Implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. Zbl 0882.76056 Müller, S.; Prohl, A.; Rannacher, R.; Turek, S. 7 1995 The dual-weighted-residual method for error control and mesh adaptation in finite element methods. Zbl 0959.65117 Rannacher, Rolf 7 2000 Defect correction techniques in the finite element method. Zbl 0784.65081 Rannacher, R. 6 1991 Some asymptotic error estimates for finite element approximation of minimal surfaces. Zbl 0356.35034 Rannacher, Rolf 6 1977 Punktweise Konvergenz der Methode der finiten Elemente beim Plattenproblem. Zbl 0383.65061 Rannacher, Rolf 6 1976 Adaptive finite element methods for optimization problems. Zbl 0954.65048 Becker, R.; Kapp, H.; Rannacher, R. 6 2000 Numerics of fluid-structure interaction. Zbl 1145.76055 Bönisch, Sebastian; Dunne, Thomas; Rannacher, Rolf 6 2007 An adaptive finite element method for fluid-structure interaction problems based on a fully Eulerian formulation. Zbl 1214.76005 Rannacher, R.; Richter, T. 6 2010 On finite element approximation of general boundary value problems in nonlinear elasticity. Zbl 0468.73091 Rannacher, R. 6 1980 Well-posedness of a linear spatio-temporal model of the JAK2/STAT5 signaling pathway. Zbl 1277.35210 Friedmann, E.; Neumann, R.; Rannacher, R. 6 2013 A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. Zbl 1356.49052 Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried 6 2012 Towards a complete numerical description of lubricant film dynamics in ball bearings. Zbl 1398.76111 Knauf, Stefan; Frei, Stefan; Richter, Thomas; Rannacher, Rolf 6 2014 On the order of pointwise convergence of some boundary element methods. I: Operators of negative and zero order. Zbl 0579.65147 Rannacher, R.; Wendland, W. L. 5 1985 Finite element approximation of simply supported plates and the Babuska paradox. Zbl 0421.73072 Rannacher, R. 5 1979 Numerical methods in multidimensional radiative transfer. Zbl 1155.65004 5 2009 An adaptive finite element method for problems in perfect plasticity. Zbl 0944.74074 Rannacher, R.; Suttmeier, F. T. 4 1999 Fast and reliable solution of the Navier-Stokes equations including chemistry. Zbl 1067.76560 Becker, R.; Braack, M.; Rannacher, R.; Waguet, C. 4 1999 A priori error analysis for the finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1157.65405 May, S.; Rannacher, R.; Vexler, B. 4 2008 Methods for numerical flow simulation. Zbl 1144.76034 Rannacher, Rolf 4 2007 Stable finite element solutions to nonlinear parabolic problems of Navier-Stokes type. Zbl 0505.76049 Rannacher, Rolf 4 1982 Pointwise convergence of some boundary element methods. II. Zbl 0648.65092 Rannacher, Rolf; Wendland, Wolfgang L. 4 1988 A short course on numerical simulation of viscous flow: discretization, optimization and stability analysis. Zbl 1457.65132 Rannacher, Rolf 4 2012 Computational aspects of pseudospectra in hydrodynamic stability analysis. Zbl 1301.76048 Gerecht, D.; Rannacher, R.; Wollner, W. 4 2012 Mesh orientation and anisotropic refinement in the streamline diffusion method. Zbl 0812.76047 Zhou, Guohui; Rannacher, Rolf 3 1994 A duality-based optimization approach for model adaptivity in heterogeneous multiscale problems. Zbl 1445.35136 Maier, Matthias; Rannacher, Rolf 3 2018 Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Zbl 1351.65090 Maier, Matthias; Rannacher, Rolf 3 2016 Multiple shooting and time domain decomposition methods. MuS-TDD, Heidelberg, Germany, May 6–8, 2013. Zbl 1333.65003 3 2015 Trends in PDE constrained optimization. Zbl 1306.49001 12 2014 Indirect multiple shooting for nonlinear parabolic optimal control problems with control constraints. Zbl 1294.49017 Carraro, T.; Geiger, Michael; Rannacher, R. 8 2014 Towards a complete numerical description of lubricant film dynamics in ball bearings. Zbl 1398.76111 Knauf, Stefan; Frei, Stefan; Richter, Thomas; Rannacher, Rolf 6 2014 Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1273.65087 May, S.; Rannacher, R.; Vexler, B. 56 2013 Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184 Rannacher, R.; Vihharev, J. 23 2013 A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator. Zbl 1273.65164 Frei, S.; Rannacher, R.; Wollner, W. 10 2013 Well-posedness of a linear spatio-temporal model of the JAK2/STAT5 signaling pathway. Zbl 1277.35210 Friedmann, E.; Neumann, R.; Rannacher, R. 6 2013 Spatial aspects in the SMAD signaling pathway. Zbl 1277.92007 Claus, J.; Friedmann, E.; Klingmüller, U.; Rannacher, R.; Szekeres, T. 3 2013 Model based parameter estimation. Theory and applications. Based on the workshop on parameter estimation, Heidelberg, Germany, 2009. Zbl 1261.65002 Bock, Hans Georg 1 2013 Goal-oriented space-time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow. Zbl 1412.76060 Besier, Michael; Rannacher, Rolf 40 2012 Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001 23 2012 A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. Zbl 1356.49052 Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried 6 2012 A short course on numerical simulation of viscous flow: discretization, optimization and stability analysis. Zbl 1457.65132 Rannacher, Rolf 4 2012 Computational aspects of pseudospectra in hydrodynamic stability analysis. Zbl 1301.76048 Gerecht, D.; Rannacher, R.; Wollner, W. 4 2012 A priori error estimates for finite element discretizations of parabolic optimization problems with pointwise state constraints in time. Zbl 1234.49029 Meidner, Dominik; Rannacher, Rolf; Vexler, Boris 41 2011 Adaptive Galerkin finite element methods for the wave equation. Zbl 1283.35053 Bangerth, W.; Geiger, Michael; Rannacher, R. 51 2010 Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123 Rannacher, R.; Westenberger, A.; Wollner, W. 21 2010 Numerical simulation of fluid-structure interaction based on monolithic variational formulations. Zbl 1423.76227 Dunne, Th.; Rannacher, R.; Richter, Th. 19 2010 Fundamental trends in fluid-structure interaction. Zbl 1410.76010 17 2010 Optimal Neumann control for the two-dimensional steady-state Navier-Stokes equations. Zbl 1200.35214 Fursikov, A. V.; Rannacher, R. 11 2010 An adaptive finite element method for fluid-structure interaction problems based on a fully Eulerian formulation. Zbl 1214.76005 Rannacher, R.; Richter, T. 6 2010 Adaptive finite element discretization in PDE-based optimization. Zbl 1207.49023 Rannacher, Rolf; Vexler, Boris 3 2010 Adaptive FE eigenvalue computation with applications to hydrodynamic stability. Zbl 1374.76103 Rannacher, Rolf 3 2010 Advances in mathematical fluid mechanics. Dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday. Selected papers of the international conference on mathematical fluid mechanics, Estoril, Portugal, May 21–25, 2007. Zbl 1185.76020 1 2010 Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340 Meidner, D.; Rannacher, R.; Vihharev, J. 30 2009 Numerical methods in multidimensional radiative transfer. Zbl 1155.65004 5 2009 Hemodynamical flows. Modeling, analysis and simulation. Papers based on the presentations at the Oberwolfach seminar ‘Hemodynamical flows: Aspects of modeling, analysis and simulation’, Oberwolfach, Germany, November 20–26, 2005. Zbl 1137.76005 31 2008 A priori error analysis for the finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1157.65405 May, S.; Rannacher, R.; Vexler, B. 4 2008 Modeling, simulation and optimization of complex processes. Proceedings of the international conference on high performance scientific computing, March 6–10, 2006, Hanoi, Vietnam. Zbl 1142.90003 Bock, Hans Georg 1 2008 Adaptive finite element methods for PDE-constrained optimal control problems. Zbl 1398.76196 Becker, R.; Braack, M.; Meidner, D.; Rannacher, R.; Vexler, B. 16 2007 Numerics of fluid-structure interaction. Zbl 1145.76055 Bönisch, Sebastian; Dunne, Thomas; Rannacher, Rolf 6 2007 Methods for numerical flow simulation. Zbl 1144.76034 Rannacher, Rolf 4 2007 Determination of kinetic parameters in laminar flow reactors. I: Theoretical aspects. Zbl 1398.76227 Carraro, T.; Heuveline, V.; Rannacher, R. 3 2007 Mesh and model adaptivity for flow problems. Zbl 1398.76092 Becker, R.; Braack, M.; Rannacher, R.; Richter, T. 2 2007 Numerical methods for multidimensional radiative transfer. Zbl 1398.78010 Meinköhn, E.; Kanschat, G.; Rannacher, R.; Wehrse, R. 2 2007 A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements. Zbl 1113.65102 Rannacher, R.; Vexler, B. 25 2006 Adaptive finite element approximation of fluid-structure interaction based on an Eulerian variational formulation. Zbl 1323.74082 Dunne, Thomas; Rannacher, Rolf 23 2006 Duality techniques for error estimation and mesh adaptation in finite element methods. Zbl 1298.74235 Rannacher, Rolf 1 2005 Contributions to current challenges in mathematical fluid mechanics. Zbl 1047.76001 1 2004 Adaptive finite element methods for differential equations. Zbl 1020.65058 Bangerth, Wolfgang; Rannacher, Rolf 298 2003 Duality-based adaptivity in the \(hp\)-finite element method. Zbl 1050.65111 Heuveline, V.; Rannacher, R. 23 2003 Adaptive FEM for eigenvalue problems. Zbl 1043.65122 Heuveline, V.; Rannacher, R. 9 2003 Trends in nonlinear analysis. On the occasion of the 60th birthday of Willi Jäger. Zbl 1001.00073 1 2003 A numerical tool for flow simulation in a Wankel motor. Zbl 1076.76572 Rannacher, Rolf; Heuveline, Vincent 1 2003 Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123 Kanschat, G.; Rannacher, R. 17 2002 An optimal control approach to adaptivity in computational fluid mechanics. Zbl 1047.76016 Becker, R.; Heuveline, V.; Rannacher, R. 9 2002 Adaptive finite element methods for partial differential equations. Zbl 1003.65130 Rannacher, R. 2 2002 An optimal control approach to a posteriori error estimation in finite element methods. Zbl 1105.65349 Becker, Roland; Rannacher, Rolf 464 2001 A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111 Heuveline, Vincent; Rannacher, Rolf 82 2001 Adaptive finite element techniques for the acoustic wave equation. Zbl 1360.76122 Bangerth, Wolfgang; Rannacher, Rolf 24 2001 Adaptive Galerkin finite element methods for partial differential equations. Zbl 0976.65101 Rannacher, R. 23 2001 Adaptive finite element methods for flow problems. Zbl 1008.76037 Becker, Roland; Braack, Malte; Rannacher, Rolf 2 2001 Adaptive finite element methods for optimal control of partial differential equations: Basic concept. Zbl 0967.65080 Becker, Roland; Kapp, Hartmut; Rannacher, Rolf 148 2000 Finite element methods for the incompressible Navier-Stokes equations. Zbl 1107.76353 Rannacher, Rolf 36 2000 A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115 Houston, Paul; Rannacher, Rolf; Süli, Endre 31 2000 Fundamental directions in mathematical fluid mechanics. Zbl 0948.00020 11 2000 The dual-weighted-residual method for error control and mesh adaptation in finite element methods. Zbl 0959.65117 Rannacher, Rolf 7 2000 Adaptive finite element methods for optimization problems. Zbl 0954.65048 Becker, R.; Kapp, H.; Rannacher, R. 6 2000 Finite element approximation of the acoustic wave equation: Error control and mesh adaptation. Zbl 0948.65098 Bangerth, W.; Rannacher, R. 50 1999 A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity. Zbl 0954.74070 Rannacher, Rolf; Suttmeier, Franz-Theo 37 1999 Numerical simulation of laminar flames at low Mach number by adaptive finite elements. Zbl 0951.76035 Becker, R.; Braack, M.; Rannacher, R. 21 1999 Error control in finite element computations. An introduction to error estimation and mesh-size adaptation. Zbl 0943.65123 Rannacher, R. 15 1999 An adaptive finite element method for unsteady convection-dominated flows with stiff source terms. Zbl 0959.76043 Hebeker, Friedrich K.; Rannacher, Rolf 8 1999 An adaptive finite element method for problems in perfect plasticity. Zbl 0944.74074 Rannacher, R.; Suttmeier, F. T. 4 1999 Fast and reliable solution of the Navier-Stokes equations including chemistry. Zbl 1067.76560 Becker, R.; Braack, M.; Rannacher, R.; Waguet, C. 4 1999 A general concept of adaptivity in finite element methods with applications to problems in fluid and structural mechanics. Zbl 0937.65122 Becker, Roland; Rannacher, Rolf 1 1999 Weighted a posteriori error control in FE methods. Zbl 0968.65083 Becker, R.; Rannacher, R. 71 1998 A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity. Zbl 0910.73064 Rannacher, R.; Suttmeier, F.-T. 32 1998 A posteriori error estimation in least-squares stabilized finite element schemes. Zbl 0934.65118 Rannacher, Rolf 15 1998 Adaptive finite elements for reactive flows. Zbl 1068.76528 Braack, M.; Becker, R.; Rannacher, R. 3 1998 Evaluation of a CFD benchmark for laminar flows. Zbl 1075.76641 Schäfer, M.; Rannacher, R.; Turek, S. 3 1998 An adaptive finite element method for unsteady convection-dominated flows with stiff source terms. Zbl 0913.76048 Hebeker, F.-K.; Führer, Ch.; Rannacher, R. 1 1998 A method for computing compressible, highly stratified flows in astrophysics based on operator splitting. Zbl 0927.76059 Hujeirat, A.; Rannacher, R. 1 1998 A feed-back approach to error control in finite element methods: Application to linear elasticity. Zbl 0894.73170 Rannacher, R.; Suttmeier, F.-T. 56 1997 An adaptive streamline-diffusion finite element method for hyperbolic conservation laws. Zbl 0885.65107 Führer, C.; Rannacher, R. 8 1997 A comparative study of nonlinear Galerkin finite element methods for one-dimensional dissipative evolution problems. Zbl 0909.65065 Nabh, G.; Rannacher, R. 1 1997 Benchmark computations of laminar flow around a cylinder. (With support by F. Durst, E. Krause and R. Rannacher). Zbl 0874.76070 Schäfer, M.; Turek, S. 252 1996 Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Zbl 0863.76016 Heywood, John G.; Rannacher, Rolf; Turek, Stefan 243 1996 A feed-back approach to error control in finite element methods: Basic analysis and examples. Zbl 0868.65076 Becker, R.; Rannacher, R. 214 1996 Pointwise superconvergence of the streamline diffusion finite-element method. Zbl 0841.65092 Zhou, Guohui; Rannacher, Rolf 17 1996 Error analysis for the finite element approximation of a radiative transfer model. Zbl 0866.65093 Führer, Christian; Rannacher, Rolf 2 1996 Adaptive error control for multigrid finite element methods. Zbl 0848.65074 Becker, R.; Johnson, C.; Rannacher, R. 46 1995 Numerics and hydrodynamic stability: Toward error control in computational fluid dynamics. Zbl 0833.76063 Johnson, Claes; Rannacher, Rolf; Boman, Mats 32 1995 Finite element solution of the incompressible Navier-Stokes equations on anisotropically refined meshes. Zbl 0880.76036 Becker, Roland; Rannacher, Rolf 10 1995 Implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. Zbl 0882.76056 Müller, S.; Prohl, A.; Rannacher, R.; Turek, S. 7 1995 Parallel solution methods for the Navier-Stokes equations. Zbl 0867.76045 Rannacher, R. 1 1995 Mesh orientation and anisotropic refinement in the streamline diffusion method. Zbl 0812.76047 Zhou, Guohui; Rannacher, Rolf 3 1994 On errror control in CFD. Zbl 0874.76037 Johnson, Claes; Rannacher, Rolf 2 1994 Mesh adaptation via a predictor-corrector strategy in the streamline diffusion method for nonstationary hyperbolic systems. Zbl 0808.65098 Rannacher, Rolf; Zhou, Guohui 1 1994 Domain decomposition in the nonstationary streamline diffusion finite element method. Zbl 0813.76047 Rannacher, R. 1 1994 On the question of turbulence modeling by approximate inertial manifolds and the nonlinear Galerkin method. Zbl 0791.76042 Heywood, John G.; Rannacher, Rolf 19 1993 On the numerical solution of the incompressible Navier-Stokes equations. Zbl 0798.76069 Rannacher, R. 14 1993 Numerical analysis of the Navier-Stokes equations. Zbl 0798.76041 Rannacher, Rolf 9 1993 Local error expansions and Richardson extrapolation for the streamline diffusion finite element method. Zbl 0835.65122 Chen, H.; Rannacher, R. 1 1993 Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051 Rannacher, R.; Turek, S. 324 1992 On Chorin’s projection method for the incompressible Navier-Stokes equations. Zbl 0769.76053 Rannacher, Rolf 102 1992 A domain splitting algorithm for parabolic problems. Zbl 0767.65073 Blum, H.; Lisky, S.; Rannacher, R. 16 1992 ...and 36 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,059 Authors 108 He, Yinnian 84 Shi, Dongyang 45 Feng, Xinlong 45 Rannacher, Rolf 44 Zhang, Tong 38 Wick, Thomas 37 Huang, Pengzhan 32 Rebholz, Leo Gregory 32 Vexler, Boris 32 Yang, Yidu 31 Li, Jian 30 An, Rong 30 Carstensen, Carsten 29 Shang, Yueqiang 27 Novo, Julia 26 Chen, Zhangxin 26 Hou, Yanren 24 John, Volker 22 Chen, Yanping 22 Latché, Jean-Claude 22 Li, Buyang 22 Richter, Thomas 21 Brenner, Susanne Cecelia 21 Tavener, Simon J. 20 Bi, Hai 20 Estep, Donald J. 20 Gong, Wei 20 Houston, Paul 20 Mao, Shipeng 20 Sheen, Dongwoo 20 Yan, Ningning 19 Bause, Markus 19 Becker, Roland 19 García-Archilla, Bosco 19 Huang, Yunqing 19 Turek, Stefan 19 Wollner, Winnifried 18 Chamoin, Ludovic 18 Lin, Qun 18 Nataraj, Neela 17 Hu, Jun 17 Li, Kaitai 17 Li, Yuan 17 Vohralík, Martin 17 Xie, Hehu 17 Yang, Huaijun 17 Zhang, Zhimin 16 Pani, Amiya Kumar 16 Sung, Li-Yeng 15 Codina, Ramon 15 Herbin, Raphaèle 15 Jiang, Yaolin 15 Larson, Mats G. 15 Layton, William J. 15 Leykekhman, Dmitriy 15 Mora, David 15 Nochetto, Ricardo Horacio 15 Prudhomme, Serge 15 Shen, Jie 15 Shi, Zhongci 15 Wang, Kun 14 Burman, Erik 14 Chaudhry, Jehanzeb Hameed 14 de Frutos, Javier 14 Ding, Qianqian 14 Fidkowski, Krzysztof J. 14 Guan, Hongbo 14 Ladevèze, Pierre 14 Nicaise, Serge 14 Oden, John Tinsley 14 Sinha, Rajen Kumar 13 Hansbo, Peter 13 He, Wenming 13 He, Xiaoming 13 Lin, Yanping 13 Pažanin, Igor 13 Rojas-Medar, Marko Antonio 13 Schieweck, Friedhelm 13 Veneziani, Alessandro 13 Zhang, Shangyou 12 Benes, Michal 12 Darmofal, David L. 12 Dolejší, Vít 12 Han, Jiayu 12 Heuveline, Vincent 12 Hinze, Michael 12 Hoppe, Ronald H. W. 12 Liu, Huipo 12 Luo, Zhendong 12 Mahnken, Rolf 12 Mateos, Mariano 12 Neda, Monika 12 Olshanskii, Maxim A. 12 Picasso, Marco 12 Quarteroni, Alfio M. 12 Repin, Sergeĭ Igorevich 12 Si, Zhiyong 12 Yang, Yunbo 12 Zhang, Guodong 12 Zhou, Zhaojie ...and 3,959 more Authors all top 5 Cited in 302 Serials 359 Computer Methods in Applied Mechanics and Engineering 194 Computers & Mathematics with Applications 180 Journal of Computational Physics 179 Journal of Computational and Applied Mathematics 171 Journal of Scientific Computing 145 Applied Numerical Mathematics 140 Numerical Methods for Partial Differential Equations 136 Numerische Mathematik 124 Mathematics of Computation 109 Applied Mathematics and Computation 82 SIAM Journal on Numerical Analysis 76 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 74 International Journal for Numerical Methods in Engineering 61 SIAM Journal on Scientific Computing 53 Advances in Computational Mathematics 51 Computers and Fluids 42 International Journal for Numerical Methods in Fluids 42 Computational Mechanics 41 Journal of Mathematical Analysis and Applications 41 Numerical Algorithms 40 Mathematical Methods in the Applied Sciences 39 International Journal of Computer Mathematics 39 Computational Methods in Applied Mathematics 32 M\(^3\)AS. 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