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## Rannacher, Rolf

Compute Distance To:
 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
 Documents Indexed: 169 Publications since 1975, including 25 Books
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#### Co-Authors

 42 single-authored 16 Becker, Roland 10 Heywood, John G. 8 Turek, Stefan 7 Galdi, Giovanni Paolo 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 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 Jäger, Willi 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 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 Claus, Juliane 1 Dobrowolski, Manfred 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, Yurii 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 Schäfer, Michael 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, A. 1 Xu, Xuejun
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#### 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 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 Journal of Mathematical Fluid Mechanics 2 Computational Methods in Applied Mathematics 2 ISNM. International Series of Numerical Mathematics 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
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#### Fields

 117 Numerical analysis (65-XX) 72 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) 3 Ordinary differential equations (34-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 History and biography (01-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)

#### Citations contained in zbMATH Open

129 Publications have been cited 3,817 times in 2,750 Documents Cited by Year
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
1982
An optimal control approach to a posteriori error estimation in finite element methods. Zbl 1105.65349
Becker, Roland; Rannacher, Rolf
2001
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
1990
Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051
Rannacher, R.; Turek, S.
1992
Adaptive finite element methods for differential equations. Zbl 1020.65058
Bangerth, Wolfgang; Rannacher, Rolf
2003
Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Zbl 0863.76016
Heywood, John G.; Rannacher, Rolf; Turek, Stefan
1996
A feed-back approach to error control in finite element methods: Basic analysis and examples. Zbl 0868.65076
Becker, R.; Rannacher, R.
1996
Some optimal error estimates for piecewise linear finite element approximations. Zbl 0483.65007
Rannacher, Rolf; Scott, Ridgway
1982
On the boundary value problem of the biharmonic operator on domains with angular corners. Zbl 0445.35023
Blum, H.; Rannacher, R.
1980
Adaptive finite element methods for optimal control of partial differential equations: Basic concept. Zbl 0967.65080
Becker, Roland; Kapp, Hartmut; Rannacher, Rolf
2000
On Chorin’s projection method for the incompressible Navier-Stokes equations. Zbl 0769.76053
Rannacher, Rolf
1992
Finite element solution of diffusion problems with irregular data. Zbl 0512.65082
Rannacher, Rolf
1984
A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111
Heuveline, Vincent; Rannacher, Rolf
2001
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
1986
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
1988
Asymptotic error expansion and Richardson extrapolation for linear finite elements. Zbl 0594.65082
Blum, H.; Lin, Q.; Rannacher, R.
1986
Weighted a posteriori error control in FE methods. Zbl 0968.65083
Becker, R.; Rannacher, R.
1998
On the smoothing property of the Galerkin method for parabolic equations. Zbl 0483.65064
Luskin, Mitchell; Rannacher, Rolf
1982
A feed-back approach to error control in finite element methods: Application to linear elasticity. Zbl 0894.73170
Rannacher, R.; Suttmeier, F.-T.
1997
Nonconforming finite element methods for eigenvalue problems in linear plate theory. Zbl 0394.65035
Rannacher, Rolf
1979
Adaptive error control for multigrid finite element methods. Zbl 0848.65074
Becker, R.; Johnson, C.; Rannacher, R.
1995
Asymptotic $$L^\infty$$-error estimates for linear finite element approximations of quasilinear boundary value problems. Zbl 0386.65049
Frehse, Jens; Rannacher, Rolf
1978
Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1273.65087
May, S.; Rannacher, R.; Vexler, B.
2013
Finite element approximation of the acoustic wave equation: Error control and mesh adaptation. Zbl 0948.65098
Bangerth, W.; Rannacher, R.
1999
On the smoothing property of the Crank-Nicolson scheme. Zbl 0476.65062
Luskin, Mitchell; Rannacher, Rolf
1982
A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity. Zbl 0954.74070
Rannacher, Rolf; Suttmeier, Franz-Theo
1999
Numerics and hydrodynamic stability: Toward error control in computational fluid dynamics. Zbl 0833.76063
Johnson, Claes; Rannacher, Rolf; Boman, Mats
1995
A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity. Zbl 0910.73064
Rannacher, R.; Suttmeier, F.-T.
1998
Finite element methods for the incompressible Navier-Stokes equations. Zbl 1107.76353
Rannacher, Rolf
2000
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
2011
Adaptive Galerkin finite element methods for the wave equation. Zbl 1283.35053
Bangerth, W.; Geiger, Michael; Rannacher, R.
2010
Zur $$L^\infty$$-Konvergenz linearer finiter Elemente beim Dirichlet- Problem. Zbl 0321.65055
Rannacher, Rolf
1976
Eine $$L^1$$-Fehlerabschätzung für diskrete Grundlösungen in der Methode der finiten Elemente. Zbl 0359.65093
Frehse, J.; Rannacher, R.
1976
Duality-based adaptivity in the $$hp$$-finite element method. Zbl 1050.65111
Heuveline, V.; Rannacher, R.
2003
A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115
Houston, Paul; Rannacher, Rolf; Süli, Endre
2000
Adaptive Galerkin finite element methods for partial differential equations. Zbl 0976.65101
Rannacher, R.
2001
Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340
Meidner, D.; Rannacher, R.; Vihharev, J.
2009
Numerical simulation of laminar flames at low Mach number by adaptive finite elements. Zbl 0951.76035
Becker, R.; Braack, M.; Rannacher, R.
1999
On nonconforming and mixed finite element methods for plate bending problems. The linear case. Zbl 0425.35042
Rannacher, Rolf
1979
A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements. Zbl 1113.65102
Rannacher, R.; Vexler, B.
2006
On the question of turbulence modeling by approximate inertial manifolds and the nonlinear Galerkin method. Zbl 0791.76042
Heywood, John G.; Rannacher, Rolf
1993
Finite element methods for nonlinear elliptic systems of second order. Zbl 0444.65077
Dobrowolski, Manfred; Rannacher, Rolf
1980
Pointwise superconvergence of the streamline diffusion finite-element method. Zbl 0841.65092
Zhou, Guohui; Rannacher, Rolf
1996
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
Galdi, Giovanni P. (ed.); Rannacher, Rolf (ed.); Robertson, Anne M. (ed.); Turek, Stefan (ed.)
2008
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123
Rannacher, R.; Westenberger, A.; Wollner, W.
2010
Adaptive finite element techniques for the acoustic wave equation. Zbl 1360.76122
Bangerth, Wolfgang; Rannacher, Rolf
2001
A domain splitting algorithm for parabolic problems. Zbl 0767.65073
Blum, H.; Lisky, S.; Rannacher, R.
1992
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123
Kanschat, G.; Rannacher, R.
2002
A posteriori error estimation in least-squares stabilized finite element schemes. Zbl 0934.65118
Rannacher, Rolf
1998
Error control in finite element computations. An introduction to error estimation and mesh-size adaptation. Zbl 0943.65123
Rannacher, R.
1999
Discretization of the heat equation with singular initial data. Zbl 0503.65060
Rannacher, R.
1982
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
2012
On the numerical solution of the incompressible Navier-Stokes equations. Zbl 0798.76069
Rannacher, R.
1993
Adaptive finite element approximation of fluid-structure interaction based on an Eulerian variational formulation. Zbl 1323.74082
Dunne, Thomas; Rannacher, Rolf
2006
Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method. Zbl 0649.65060
Blum, H.; Rannacher, R.
1988
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
2013
Adaptive finite element methods for PDE-constrained optimal control problems. Zbl 1398.76196
Becker, R.; Braack, M.; Meidner, D.; Rannacher, R.; Vexler, B.
2007
Finite element eigenvalue computation on domains with reentrant corners using Richardson extrapolation. Zbl 0719.65077
Blum, H.; Rannacher, R.
1990
On mixed finite element methods in plate bending analysis. I: The first Herrmann scheme. Zbl 0736.73061
Blum, H.; Rannacher, R.
1990
Finite element solution of the incompressible Navier-Stokes equations on anisotropically refined meshes. Zbl 0880.76036
Becker, Roland; Rannacher, Rolf
1995
Adaptive FEM for eigenvalue problems. Zbl 1043.65122
Heuveline, V.; Rannacher, R.
2003
$$L^ \infty$$-stability estimates and asymptotic error expansion for parabolic finite element equations. Zbl 0748.65072
Rannacher, Rolf
1991
Numerical analysis of the Navier-Stokes equations. Zbl 0798.76041
Rannacher, Rolf
1993
An adaptive finite element method for unsteady convection-dominated flows with stiff source terms. Zbl 0959.76043
Hebeker, Friedrich K.; Rannacher, Rolf
1999
An adaptive streamline-diffusion finite element method for hyperbolic conservation laws. Zbl 0885.65107
Führer, C.; Rannacher, R.
1997
Optimal Neumann control for the two-dimensional steady-state Navier-Stokes equations. Zbl 1200.35214
Fursikov, A. V.; Rannacher, R.
2010
Fundamental trends in fluid-structure interaction. Zbl 1410.76010
Galdi, Giovanni P. (ed.); Rannacher, Rolf (ed.)
2010
An analysis of stability concepts for the Navier-Stokes equations. Zbl 0598.35091
Heywood, John G.; Rannacher, Rolf
1986
An optimal control approach to adaptivity in computational fluid mechanics. Zbl 1047.76016
Becker, R.; Heuveline, V.; Rannacher, R.
2002
Implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. Zbl 0882.76056
Müller, S.; Prohl, A.; Rannacher, R.; Turek, S.
1995
Defect correction techniques in the finite element method. Zbl 0784.65081
Rannacher, R.
1991
Well-posedness of a linear spatio-temporal model of the JAK2/STAT5 signaling pathway. Zbl 1277.35210
Friedmann, E.; Neumann, R.; Rannacher, R.
2013
Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001
Leugering, Günter (ed.); Engell, Sebastian (ed.); Griewank, Andreas (ed.); Hinze, Michael (ed.); Rannacher, Rolf (ed.); Schulz, Volker (ed.); Ulbrich, Michael (ed.); Ulbrich, Stefan (ed.)
2012
Punktweise Konvergenz der Methode der finiten Elemente beim Plattenproblem. Zbl 0383.65061
Rannacher, Rolf
1976
Some asymptotic error estimates for finite element approximation of minimal surfaces. Zbl 0356.35034
Rannacher, Rolf
1977
Adaptive finite element methods for optimization problems. Zbl 0954.65048
Becker, R.; Kapp, H.; Rannacher, R.
2000
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.
1985
Indirect multiple shooting for nonlinear parabolic optimal control problems with control constraints. Zbl 1294.49017
Carraro, T.; Geiger, Michael; Rannacher, R.
2014
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.
2013
On finite element approximation of general boundary value problems in nonlinear elasticity. Zbl 0468.73091
Rannacher, R.
1980
A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. Zbl 1356.49052
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried
2012
Numerical methods in multidimensional radiative transfer. Zbl 1155.65004
Kanschat, Guido (ed.); Meinköhn, Erik (ed.); Rannacher, Rolf (ed.); Wehrse, Rainer (ed.)
2009
The dual-weighted-residual method for error control and mesh adaptation in finite element methods. Zbl 0959.65117
Rannacher, Rolf
2000
Pointwise convergence of some boundary element methods. II. Zbl 0648.65092
Rannacher, Rolf; Wendland, Wolfgang L.
1988
An adaptive finite element method for fluid-structure interaction problems based on a fully Eulerian formulation. Zbl 1214.76005
Rannacher, R.; Richter, T.
2010
A short course on numerical simulation of viscous flow: discretization, optimization and stability analysis. Zbl 1457.65132
Rannacher, Rolf
2012
Computational aspects of pseudospectra in hydrodynamic stability analysis. Zbl 1301.76048
Gerecht, D.; Rannacher, R.; Wollner, W.
2012
An adaptive finite element method for problems in perfect plasticity. Zbl 0944.74074
Rannacher, R.; Suttmeier, F. T.
1999
Fast and reliable solution of the Navier-Stokes equations including chemistry. Zbl 1067.76560
Becker, R.; Braack, M.; Rannacher, R.; Waguet, C.
1999
Adaptive finite element discretization in PDE-based optimization. Zbl 1207.49023
Rannacher, Rolf; Vexler, Boris
2010
Mesh orientation and anisotropic refinement in the streamline diffusion method. Zbl 0812.76047
Zhou, Guohui; Rannacher, Rolf
1994
Towards a complete numerical description of lubricant film dynamics in ball bearings. Zbl 1398.76111
Knauf, Stefan; Frei, Stefan; Richter, Thomas; Rannacher, Rolf
2014
Spatial aspects in the SMAD signaling pathway. Zbl 1277.92007
Claus, J.; Friedmann, E.; Klingmüller, U.; Rannacher, R.; Szekeres, T.
2013
Adaptive FE eigenvalue computation with applications to hydrodynamic stability. Zbl 1374.76103
Rannacher, Rolf
2010
Determination of kinetic parameters in laminar flow reactors. I: Theoretical aspects. Zbl 1398.76227
Carraro, T.; Heuveline, V.; Rannacher, R.
2007
Zur asymptotischen Störungstheorie für Eigenwertaufgaben mit diskreten Teilspektren. Zbl 0295.47019
Rannacher, Rolf
1975
Stable finite element solutions to nonlinear parabolic problems of Navier-Stokes type. Zbl 0505.76049
Rannacher, Rolf
1982
Adaptive finite elements for reactive flows. Zbl 1068.76528
Braack, M.; Becker, R.; Rannacher, R.
1998
Evaluation of a CFD benchmark for laminar flows. Zbl 1075.76641
Schäfer, M.; Rannacher, R.; Turek, S.
1998
A priori error analysis for the finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1157.65405
May, S.; Rannacher, R.; Vexler, B.
2008
Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. Zbl 1351.65090
Maier, Matthias; Rannacher, Rolf
2016
Indirect multiple shooting for nonlinear parabolic optimal control problems with control constraints. Zbl 1294.49017
Carraro, T.; Geiger, Michael; Rannacher, R.
2014
Towards a complete numerical description of lubricant film dynamics in ball bearings. Zbl 1398.76111
Knauf, Stefan; Frei, Stefan; Richter, Thomas; Rannacher, Rolf
2014
Trends in PDE constrained optimization. Zbl 1306.49001
Leugering, Günter; Benner, Peter; Engell, Sebastian; Griewank, Andreas; Harbrecht, Helmut; Hinze, Michael; Rannacher, Rolf; Ulbrich, Stefan
2014
Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1273.65087
May, S.; Rannacher, R.; Vexler, B.
2013
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. Zbl 1267.65184
Rannacher, R.; Vihharev, J.
2013
Well-posedness of a linear spatio-temporal model of the JAK2/STAT5 signaling pathway. Zbl 1277.35210
Friedmann, E.; Neumann, R.; Rannacher, R.
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.
2013
Spatial aspects in the SMAD signaling pathway. Zbl 1277.92007
Claus, J.; Friedmann, E.; Klingmüller, U.; Rannacher, R.; Szekeres, T.
2013
Model based parameter estimation. Theory and applications. Based on the workshop on parameter estimation, Heidelberg, Germany, 2009. Zbl 1261.65002
Bock, Hans Georg; Carraro, Thomas; Jäger, Willi; Körkel, Stefan; Rannacher, Rolf; Schlöder, Johannes P.
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
2012
Constrained optimization and optimal control for partial differential equations. Zbl 1231.49001
Leugering, Günter; Engell, Sebastian; Griewank, Andreas; Hinze, Michael; Rannacher, Rolf; Schulz, Volker; Ulbrich, Michael; Ulbrich, Stefan
2012
A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. Zbl 1356.49052
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried
2012
A short course on numerical simulation of viscous flow: discretization, optimization and stability analysis. Zbl 1457.65132
Rannacher, Rolf
2012
Computational aspects of pseudospectra in hydrodynamic stability analysis. Zbl 1301.76048
Gerecht, D.; Rannacher, R.; Wollner, W.
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
2011
Adaptive Galerkin finite element methods for the wave equation. Zbl 1283.35053
Bangerth, W.; Geiger, Michael; Rannacher, R.
2010
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. Zbl 1222.65123
Rannacher, R.; Westenberger, A.; Wollner, W.
2010
Optimal Neumann control for the two-dimensional steady-state Navier-Stokes equations. Zbl 1200.35214
Fursikov, A. V.; Rannacher, R.
2010
Fundamental trends in fluid-structure interaction. Zbl 1410.76010
Galdi, Giovanni P.; Rannacher, Rolf
2010
An adaptive finite element method for fluid-structure interaction problems based on a fully Eulerian formulation. Zbl 1214.76005
Rannacher, R.; Richter, T.
2010
Adaptive finite element discretization in PDE-based optimization. Zbl 1207.49023
Rannacher, Rolf; Vexler, Boris
2010
Adaptive FE eigenvalue computation with applications to hydrodynamic stability. Zbl 1374.76103
Rannacher, Rolf
2010
Numerical simulation of fluid-structure interaction based on monolithic variational formulations. Zbl 1423.76227
Dunne, Th.; Rannacher, R.; Richter, Th.
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
Rannacher, Rolf; Sequeira, Adélia
2010
Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340
Meidner, D.; Rannacher, R.; Vihharev, J.
2009
Numerical methods in multidimensional radiative transfer. Zbl 1155.65004
Kanschat, Guido; Meinköhn, Erik; Rannacher, Rolf; Wehrse, Rainer
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
Galdi, Giovanni P.; Rannacher, Rolf; Robertson, Anne M.; Turek, Stefan
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.
2008
Adaptive finite element methods for PDE-constrained optimal control problems. Zbl 1398.76196
Becker, R.; Braack, M.; Meidner, D.; Rannacher, R.; Vexler, B.
2007
Determination of kinetic parameters in laminar flow reactors. I: Theoretical aspects. Zbl 1398.76227
Carraro, T.; Heuveline, V.; Rannacher, R.
2007
Numerics of fluid-structure interaction. Zbl 1145.76055
Bönisch, Sebastian; Dunne, Thomas; Rannacher, Rolf
2007
Mesh and model adaptivity for flow problems. Zbl 1398.76092
Becker, R.; Braack, M.; Rannacher, R.; Richter, T.
2007
Methods for numerical flow simulation. Zbl 1144.76034
Rannacher, Rolf
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.
2006
Adaptive finite element approximation of fluid-structure interaction based on an Eulerian variational formulation. Zbl 1323.74082
Dunne, Thomas; Rannacher, Rolf
2006
Contributions to current challenges in mathematical fluid mechanics. Zbl 1047.76001
Galdi, Giovanni P.; Heywood, John G.; Rannacher, Rolf
2004
Adaptive finite element methods for differential equations. Zbl 1020.65058
Bangerth, Wolfgang; Rannacher, Rolf
2003
Duality-based adaptivity in the $$hp$$-finite element method. Zbl 1050.65111
Heuveline, V.; Rannacher, R.
2003
Adaptive FEM for eigenvalue problems. Zbl 1043.65122
Heuveline, V.; Rannacher, R.
2003
Trends in nonlinear analysis. On the occasion of the 60th birthday of Willi Jäger. Zbl 1001.00073
Kirkilionis, Markus; Krömker, Susanne; Rannacher, Rolf; Tomi, Friedrich
2003
A numerical tool for flow simulation in a Wankel motor. Zbl 1076.76572
Rannacher, Rolf; Heuveline, Vincent
2003
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. Zbl 1022.65123
Kanschat, G.; Rannacher, R.
2002
An optimal control approach to adaptivity in computational fluid mechanics. Zbl 1047.76016
Becker, R.; Heuveline, V.; Rannacher, R.
2002
Adaptive finite element methods for partial differential equations. Zbl 1003.65130
Rannacher, R.
2002
An optimal control approach to a posteriori error estimation in finite element methods. Zbl 1105.65349
Becker, Roland; Rannacher, Rolf
2001
A posteriori error control for finite element approximations of elliptic eigenvalue problems. Zbl 0995.65111
Heuveline, Vincent; Rannacher, Rolf
2001
Adaptive Galerkin finite element methods for partial differential equations. Zbl 0976.65101
Rannacher, R.
2001
Adaptive finite element techniques for the acoustic wave equation. Zbl 1360.76122
Bangerth, Wolfgang; Rannacher, Rolf
2001
Adaptive finite element methods for flow problems. Zbl 1008.76037
Becker, Roland; Braack, Malte; Rannacher, Rolf
2001
Adaptive finite element methods for optimal control of partial differential equations: Basic concept. Zbl 0967.65080
Becker, Roland; Kapp, Hartmut; Rannacher, Rolf
2000
Finite element methods for the incompressible Navier-Stokes equations. Zbl 1107.76353
Rannacher, Rolf
2000
A posteriori error analysis for stabilised finite element approximations of transport problems. Zbl 0970.65115
Houston, Paul; Rannacher, Rolf; Süli, Endre
2000
Adaptive finite element methods for optimization problems. Zbl 0954.65048
Becker, R.; Kapp, H.; Rannacher, R.
2000
The dual-weighted-residual method for error control and mesh adaptation in finite element methods. Zbl 0959.65117
Rannacher, Rolf
2000
Fundamental directions in mathematical fluid mechanics. Zbl 0948.00020
Galdi, Giovanni P.; Heywood, John G.; Rannacher, Rolf
2000
Finite element approximation of the acoustic wave equation: Error control and mesh adaptation. Zbl 0948.65098
Bangerth, W.; Rannacher, R.
1999
A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity. Zbl 0954.74070
Rannacher, Rolf; Suttmeier, Franz-Theo
1999
Numerical simulation of laminar flames at low Mach number by adaptive finite elements. Zbl 0951.76035
Becker, R.; Braack, M.; Rannacher, R.
1999
Error control in finite element computations. An introduction to error estimation and mesh-size adaptation. Zbl 0943.65123
Rannacher, R.
1999
An adaptive finite element method for unsteady convection-dominated flows with stiff source terms. Zbl 0959.76043
Hebeker, Friedrich K.; Rannacher, Rolf
1999
An adaptive finite element method for problems in perfect plasticity. Zbl 0944.74074
Rannacher, R.; Suttmeier, F. T.
1999
Fast and reliable solution of the Navier-Stokes equations including chemistry. Zbl 1067.76560
Becker, R.; Braack, M.; Rannacher, R.; Waguet, C.
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
1999
Weighted a posteriori error control in FE methods. Zbl 0968.65083
Becker, R.; Rannacher, R.
1998
A posteriori error control in finite element methods via duality techniques: Application to perfect plasticity. Zbl 0910.73064
Rannacher, R.; Suttmeier, F.-T.
1998
A posteriori error estimation in least-squares stabilized finite element schemes. Zbl 0934.65118
Rannacher, Rolf
1998
Adaptive finite elements for reactive flows. Zbl 1068.76528
Braack, M.; Becker, R.; Rannacher, R.
1998
Evaluation of a CFD benchmark for laminar flows. Zbl 1075.76641
Schäfer, M.; Rannacher, R.; Turek, S.
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.
1998
A method for computing compressible, highly stratified flows in astrophysics based on operator splitting. Zbl 0927.76059
Hujeirat, A.; Rannacher, R.
1998
A feed-back approach to error control in finite element methods: Application to linear elasticity. Zbl 0894.73170
Rannacher, R.; Suttmeier, F.-T.
1997
An adaptive streamline-diffusion finite element method for hyperbolic conservation laws. Zbl 0885.65107
Führer, C.; Rannacher, R.
1997
A comparative study of nonlinear Galerkin finite element methods for one-dimensional dissipative evolution problems. Zbl 0909.65065
Nabh, G.; Rannacher, R.
1997
Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Zbl 0863.76016
Heywood, John G.; Rannacher, Rolf; Turek, Stefan
1996
A feed-back approach to error control in finite element methods: Basic analysis and examples. Zbl 0868.65076
Becker, R.; Rannacher, R.
1996
Pointwise superconvergence of the streamline diffusion finite-element method. Zbl 0841.65092
Zhou, Guohui; Rannacher, Rolf
1996
Error analysis for the finite element approximation of a radiative transfer model. Zbl 0866.65093
Führer, Christian; Rannacher, Rolf
1996
Adaptive error control for multigrid finite element methods. Zbl 0848.65074
Becker, R.; Johnson, C.; Rannacher, R.
1995
Numerics and hydrodynamic stability: Toward error control in computational fluid dynamics. Zbl 0833.76063
Johnson, Claes; Rannacher, Rolf; Boman, Mats
1995
Finite element solution of the incompressible Navier-Stokes equations on anisotropically refined meshes. Zbl 0880.76036
Becker, Roland; Rannacher, Rolf
1995
Implicit time-discretization of the nonstationary incompressible Navier-Stokes equations. Zbl 0882.76056
Müller, S.; Prohl, A.; Rannacher, R.; Turek, S.
1995
Parallel solution methods for the Navier-Stokes equations. Zbl 0867.76045
Rannacher, R.
1995
Mesh orientation and anisotropic refinement in the streamline diffusion method. Zbl 0812.76047
Zhou, Guohui; Rannacher, Rolf
1994
On errror control in CFD. Zbl 0874.76037
Johnson, Claes; Rannacher, Rolf
1994
Domain decomposition in the nonstationary streamline diffusion finite element method. Zbl 0813.76047
Rannacher, R.
1994
Mesh adaptation via a predictor-corrector strategy in the streamline diffusion method for nonstationary hyperbolic systems. Zbl 0808.65098
Rannacher, Rolf; Zhou, Guohui
1994
On the question of turbulence modeling by approximate inertial manifolds and the nonlinear Galerkin method. Zbl 0791.76042
Heywood, John G.; Rannacher, Rolf
1993
On the numerical solution of the incompressible Navier-Stokes equations. Zbl 0798.76069
Rannacher, R.
1993
Numerical analysis of the Navier-Stokes equations. Zbl 0798.76041
Rannacher, Rolf
1993
Local error expansions and Richardson extrapolation for the streamline diffusion finite element method. Zbl 0835.65122
Chen, H.; Rannacher, R.
1993
Simple nonconforming quadrilateral Stokes element. Zbl 0742.76051
Rannacher, R.; Turek, S.
1992
On Chorin’s projection method for the incompressible Navier-Stokes equations. Zbl 0769.76053
Rannacher, Rolf
1992
A domain splitting algorithm for parabolic problems. Zbl 0767.65073
Blum, H.; Lisky, S.; Rannacher, R.
1992
$$L^ \infty$$-stability estimates and asymptotic error expansion for parabolic finite element equations. Zbl 0748.65072
Rannacher, Rolf
1991
Defect correction techniques in the finite element method. Zbl 0784.65081
Rannacher, R.
1991
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
1990
Finite element eigenvalue computation on domains with reentrant corners using Richardson extrapolation. Zbl 0719.65077
Blum, H.; Rannacher, R.
1990
On mixed finite element methods in plate bending analysis. I: The first Herrmann scheme. Zbl 0736.73061
Blum, H.; Rannacher, R.
1990
On the numerical analysis of the nonstationary Navier-Stokes equations. Zbl 0850.76528
Rannacher, Rolf
1990
...and 29 more Documents
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#### Cited by 3,038 Authors

 85 He, Yinnian 48 Shi, Dongyang 42 Rannacher, Rolf 32 Feng, Xinlong 29 Rebholz, Leo G. 28 Vexler, Boris 24 Yang, Yidu 22 Carstensen, Carsten 22 Li, Jian 21 Shang, Yueqiang 20 Chen, Zhangxin 20 Hou, Yanren 20 Novo, Julia 19 An, Rong 19 John, Volker 19 Wick, Thomas 19 Yan, Ningning 18 Chen, Yanping 18 Houston, Paul 18 Huang, Pengzhan 18 Li, Buyang 18 Lin, Qun 18 Tavener, Simon J. 17 Brenner, Susanne Cecelia 17 Li, Kaitai 17 Sheen, Dongwoo 17 Turek, Stefan 16 Becker, Roland 16 Estep, Donald J. 16 Gong, Wei 16 Nochetto, Ricardo Horacio 16 Wollner, Winnifried 16 Xie, Hehu 15 Codina, Ramon 15 Hu, Jun 15 Shi, Zhongci 15 Vohralík, Martin 15 Wang, Kun 14 Bi, Hai 14 de Frutos, Javier 14 García-Archilla, Bosco 14 Huang, Yunqing 14 Ladevèze, Pierre 14 Leykekhman, Dmitriy 13 Chamoin, Ludovic 13 Latché, Jean-Claude 13 Mao, Shipeng 12 Larson, Mats G. 12 Layton, William J. 12 Nicaise, Serge 12 Oden, John Tinsley 12 Prudhomme, Serge 12 Schieweck, Friedhelm 12 Shen, Jie 11 Apel, Thomas 11 Bause, Markus 11 Beneš, Michal 11 Braack, Malte 11 Guillén González, Francisco M. 11 Han, Jiayu 11 Hansbo, Peter 11 Larsson, Fredrik 11 Li, Yuan 11 Lin, Yanping 11 Nataraj, Neela 11 Patera, Anthony T. 11 Stenberg, Rolf 11 Veneziani, Alessandro 11 Zhang, Zhimin 11 Zhou, Aihui 10 Burman, Erik 10 Chaudhry, Jehanzeb Hameed 10 Guan, Hongbo 10 Herbin, Raphaèle 10 Heuveline, Vincent 10 Hinze, Michael 10 Hoffman, Johan 10 Hoppe, Ronald H. W. 10 Liu, Steve Wenbin 10 Mateos, Mariano 10 Olshanskii, Maxim A. 10 Picasso, Marco 10 Quarteroni, Alfio M. 10 Repin, Sergeĭ Igorevich 10 Rojas-Medar, Marko Antonio 10 Salgado, Abner J. 10 Süli, Endre E. 10 Yang, Danping 9 Chen, Jinru 9 Darmofal, David L. 9 Díez, Pedro 9 Fidkowski, Krzysztof J. 9 Giani, Stefano 9 Guermond, Jean-Luc 9 Hron, Jaroslav 9 Luo, Zhendong 9 Manica, Carolina Cardoso 9 Neitzel, Ira 9 Prohl, Andreas 9 Richter, Thomas ...and 2,938 more Authors
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#### Cited in 241 Serials

 288 Computer Methods in Applied Mechanics and Engineering 138 Journal of Computational Physics 137 Journal of Computational and Applied Mathematics 128 Numerische Mathematik 127 Journal of Scientific Computing 121 Applied Numerical Mathematics 117 Computers & Mathematics with Applications 117 Mathematics of Computation 92 Applied Mathematics and Computation 89 Numerical Methods for Partial Differential Equations 59 SIAM Journal on Numerical Analysis 52 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 48 SIAM Journal on Scientific Computing 45 International Journal for Numerical Methods in Engineering 41 Computers and Fluids 39 Advances in Computational Mathematics 33 International Journal for Numerical Methods in Fluids 33 Computational Mechanics 31 Journal of Mathematical Analysis and Applications 27 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 27 International Journal of Computer Mathematics 25 Numerical Functional Analysis and Optimization 25 Numerical Algorithms 24 Applications of Mathematics 22 Applied Mathematical Modelling 22 Computational Optimization and Applications 21 Journal of Numerical Mathematics 21 Science China. Mathematics 18 BIT 16 SIAM Journal on Control and Optimization 15 Mathematical Methods in the Applied Sciences 15 Calcolo 15 RAIRO. Modélisation Mathématique et Analyse Numérique 15 Mathematical Problems in Engineering 14 Computing 14 Acta Mathematicae Applicatae Sinica. English Series 14 Journal of Mathematical Fluid Mechanics 14 Computational Methods in Applied Mathematics 12 Applicable Analysis 12 Communications in Numerical Methods in Engineering 12 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 10 Mathematics and Computers in Simulation 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Applied Mathematics Letters 9 Acta Applicandae Mathematicae 9 Optimization Methods & Software 9 Computational Geosciences 9 Archives of Computational Methods in Engineering 9 Discrete and Continuous Dynamical Systems. Series B 8 Mathematical and Computer Modelling 8 Computing and Visualization in Science 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 RAIRO. Analyse Numérique 7 Physics of Fluids 7 Journal of Mathematical Sciences (New York) 7 Computational and Applied Mathematics 7 Engineering Computations 6 Journal of Fluid Mechanics 6 Journal of Differential Equations 6 Chinese Annals of Mathematics. Series B 6 Science in China. Series A 6 Japan Journal of Industrial and Applied Mathematics 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Vietnam Journal of Mathematics 6 Combustion Theory and Modelling 6 SIAM/ASA Journal on Uncertainty Quantification 6 Nonlinear Analysis. Theory, Methods & Applications 5 Archive for Rational Mechanics and Analysis 5 Journal of Soviet Mathematics 5 Applied Mathematics and Mechanics. (English Edition) 5 Applied Mathematical Finance 5 Abstract and Applied Analysis 5 Lobachevskii Journal of Mathematics 5 Nonlinear Analysis. Real World Applications 5 Journal of Systems Science and Complexity 5 Journal of Applied Mathematics and Computing 5 Boundary Value Problems 5 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 5 Frontiers of Mathematics in China 4 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 4 Journal of Optimization Theory and Applications 4 Mathematische Zeitschrift 4 Journal of Integral Equations and Applications 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 ETNA. Electronic Transactions on Numerical Analysis 4 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 4 European Journal of Mechanics. B. Fluids 4 Mathematical Modelling and Analysis 4 Journal of Applied Mathematics 4 Multiscale Modeling & Simulation 4 International Journal of Numerical Analysis and Modeling 4 Inverse Problems in Science and Engineering 4 GAMM-Mitteilungen 4 Advances in Numerical Analysis 4 International Journal for Numerical Methods in Biomedical Engineering 4 S$$\vec{\text{e}}$$MA Journal 4 AMM. Applied Mathematics and Mechanics. (English Edition) 3 International Journal of Engineering Science 3 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) ...and 141 more Serials
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#### Cited in 42 Fields

 2,096 Numerical analysis (65-XX) 1,158 Partial differential equations (35-XX) 1,117 Fluid mechanics (76-XX) 382 Mechanics of deformable solids (74-XX) 279 Calculus of variations and optimal control; optimization (49-XX) 76 Biology and other natural sciences (92-XX) 59 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 55 Classical thermodynamics, heat transfer (80-XX) 44 Optics, electromagnetic theory (78-XX) 43 Ordinary differential equations (34-XX) 39 Statistical mechanics, structure of matter (82-XX) 37 Systems theory; control (93-XX) 36 Integral equations (45-XX) 34 Geophysics (86-XX) 32 Probability theory and stochastic processes (60-XX) 26 Operations research, mathematical programming (90-XX) 24 Operator theory (47-XX) 23 Dynamical systems and ergodic theory (37-XX) 21 Potential theory (31-XX) 13 Approximations and expansions (41-XX) 13 Statistics (62-XX) 12 Functional analysis (46-XX) 9 Computer science (68-XX) 8 Real functions (26-XX) 8 Mechanics of particles and systems (70-XX) 8 Information and communication theory, circuits (94-XX) 7 Astronomy and astrophysics (85-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX)

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