Rolf Rannacher | Academic Influence

Rolf Rannacher's AcademicInfluence.com Rankings

Rolf Rannacher

Mathematics

#4602

World Rank

#6520

Historical Rank

Applied Mathematics

#197

World Rank

#217

Historical Rank

Measure Theory

#1376

World Rank

#1727

Historical Rank

mathematics Degrees

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Mathematics

Rolf Rannacher's Degrees

PhD Mathematics University of Stuttgart

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According to Wikipedia, Rolf Rannacher is a German mathematician and a professor of numerical analysis at Heidelberg University. Rannacher studied mathematics and physics at the Goethe University Frankfurt. There he received his doctorate in 1974 with dissertation Diskrete Störungstheorie für das Punktsystem linearer Operatoren und Sesquilinearformen mit Anwendungen auf Operatoren vom Schrödinger Typ . From 1974 to 1980 he was an assistant to at the University of Bonn, where he habilitated in 1978 and after habilitation spent a year at the University of Michigan. He was from 1980 to 1983 a professor at the University of Erlangen–Nuremberg and from 1983 to 1988 a professor at Saarland University. Since 1988 he is a professor in Heidelberg.

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Rolf Rannacher's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

An optimal control approach to a posteriori error estimation in finite element methods (2001) (1266)
Finite element approximation of the nonstationary Navier-Stokes problem. I : Regularity of solutions and second-order error estimates for spatial discretization (1982) (802)
Benchmark Computations of Laminar Flow Around a Cylinder (1996) (776)
Finite-element approximations of the nonstationary Navier-Stokes problem. Part IV: error estimates for second-order time discretization (1990) (702)
Simple nonconforming quadrilateral Stokes element (1992) (669)
ARTIFICIAL BOUNDARIES AND FLUX AND PRESSURE CONDITIONS FOR THE INCOMPRESSIBLE NAVIER–STOKES EQUATIONS (1996) (585)
A Feed-Back Approach to Error Control in Finite Element Methods: Basic Analysis and Examples (1996) (544)
Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations (1982) (364)
Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept (2000) (336)
On the boundary value problem of the biharmonic operator on domains with angular corners (1980) (329)
Finite element solution of diffusion problems with irregular data (1984) (318)
On the finite element approximation of the nonstationary Navier-Stokes problem (1980) (269)
Adaptive finite element methods for differential equations (2003) (269)
On chorin's projection method for the incompressible navier-stokes equations (1992) (224)
Finite element approximation of the nonstationary Navier-Stokes problem, part II: Stability of solutions and error estimates uniform in time (1986) (215)
Finite Element Methods for the Incompressible Navier-Stokes Equations (2000) (177)
Finite element approximation of the nonstationary Navier-Stokes problem, part III. Smoothing property and higher order error estimates for spatial discretization (1988) (161)
On the Smoothing Property of the Galerkin Method for Parabolic Equations (1982) (159)
A posteriori error control for finite element approximations of elliptic eigenvalue problems (2001) (158)
Asymptotic error expansion and Richardson extranpolation for linear finite elements (1986) (133)
A posteriori error analysis for stabilised finite element approximations of transport problems (2000) (115)
On the smoothing property of the crank-nicolson scheme (1982) (108)
Numerics and hydrodynamic stability: toward error control in computational fluid dynamics (1995) (105)
Nonconforming finite element methods for eigenvalue problems in linear plate theory (1979) (100)
Adaptive Galerkin finite element methods for partial differential equations (2001) (99)
Adaptive Galerkin Finite Element Methods for the Wave Equation (2010) (95)
Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems (2013) (94)
Duality-based adaptivity in the hp-finite element method (2003) (90)
Modeling, Simulation and Optimization of Complex Processes (2008) (88)
Fundamental directions in mathematical fluid mechanics (2000) (88)
A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity (1999) (87)
Adaptive error control for multigrid finite element (1995) (85)
An Optimal Control Approach to A-Posteriori Error Estimation (2001) (83)
Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow (2012) (76)
Adaptive Finite Element Approximation of Fluid-Structure Interaction Based on an Eulerian Variational Formulation (2006) (73)
Trends in Nonlinear Analysis (2002) (72)
Numerical methods for the Navier-Stokes equations (1994) (69)
Asymptotic $L^\infty $-Error Estimates for Linear Finite Element Approximations of Quasilinear Boundary Value Problems (1978) (67)
A Priori Error Estimates for the Finite Element Discretization of Elliptic Parameter Identification Problems with Pointwise Measurements (2005) (66)
A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time (2011) (61)
Error Control in Finite Element Computations (1999) (60)
ADAPTIVE FINITE ELEMENT TECHNIQUES FOR THE ACOUSTIC WAVE EQUATION (2001) (59)
On the question of turbulence modeling by approximate inertial manifolds and the nonlinear Galerkin method (1993) (57)
Goal-oriented error control of the iterative solution of finite element equations (2009) (56)
Finite element approximation of the acoustic wave equation: error control and mesh adaptation (1999) (56)
Numerical simulation of laminar flames at low Mach number by adaptive finite elements (1999) (52)
Hemodynamical Flows: Modeling, Analysis and Simulation (Oberwolfach Seminars) (2007) (50)
Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems (2007) (47)
Advances in Mathematical Fluid Mechanics (2010) (47)
Finite element methods for nonlinear elliptic systems of second order (1980) (45)
Pointwise superconvergence of the streamline diffusion finite-element method (1996) (45)
NUMERICAL SIMULATION OF FLUID-STRUCTURE INTERACTION BASED ON MONOLITHIC VARIATIONAL FORMULATIONS (2010) (44)
Reactive Flows, Diffusion and Transport (2007) (38)
Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error (2010) (38)
Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems (2002) (37)
Extrapolation techniques for reducing the pollution effect or reentrant corners in the finite element method (1987) (37)
A posteriori error estimation in least-squares stabilized finite element schemes (1998) (36)
Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors (2013) (36)
Finite Element Solution of the Incompressible Navier-Stokes Equations on Anisotropically Refined Meshes (1995) (36)
Gas Phase Chemical Reaction Systems (1996) (35)
On nonconforming an mixed finite element methods for plate bending problems. The linear case (1979) (35)
Numerical methods in multidimensional radiative transfer (2009) (34)
Adaptive finite element methods for low-mach-number flows with chemical reactions (1999) (32)
Trends in PDE Constrained Optimization (2014) (30)
Implicit Time-Discretization of the Nonstationary Incompressible Navier-Stokes Equations (1995) (29)
Fundamental Trends in Fluid-Structure Interaction (2010) (29)
An optimal control approach to adaptivity in computational fluid mechanics (2002) (29)
On Error Control in CFD (1994) (27)
On the Numerical Solution of the Incompressible Navier‐Stokes Equations (1993) (26)
An Adaptive Finite Element Method for Fluid-Structure Interaction Problems Based on a Fully Eulerian Formulation (2011) (24)
Multiple Shooting and Time Domain Decomposition Methods (2015) (24)
Adaptive FEM for eigenvalue problems with application in hydrodynamic stability analysis (2006) (24)
Evaluation of a CFD benchmark for laminar flows (1998) (23)
An analysis of stability concepts for the Navier-Stokes equations. (1986) (22)
Model Based Parameter Estimation: Theory and Applications (2015) (22)
The Dual-Weighted-Residual Method for Error Control and Mesh Adaptation in Finite Element Methods (2000) (22)
Model Based Parameter Estimation (2013) (22)
Numerical analysis of the Navier-Stokes equations (1993) (21)
A domain splitting algorithm for parabolic problems (1992) (21)
The Damped Crank–Nicolson Time-Marching Scheme for the Adaptive Solution of the Black–Scholes Equation (2015) (20)
On the efficiency and robustness of implicit methods in computational astrophysics (2001) (20)
Indirect Multiple Shooting for Nonlinear Parabolic Optimal Control Problems with Control Constraints (2014) (20)
A Posteriori Error Control and Mesh Adaptation for FE models in Elasticity and Elasto-Plasticity (1998) (19)
On finite element approximation of general boundary value problems in nonlinear elasticity (1980) (18)
Incompressible Viscous Flows (2004) (16)
On the order of pointwise convergence of some boundary element methods. Part I. Operators of negative and zero order (1985) (15)
Numerical Analysis of Nonstationary Fluid Flow (1989) (15)
Towards a complete numerical description of lubricant film dynamics in ball bearings (2014) (15)
Fast and reliable solution of the Navier–Stokes equations including chemistry (1999) (15)
Numerics of Fluid-Structure Interaction (2008) (14)
An Adaptive Finite Element Method for Unsteady Convection-Dominated Flows with Stiff Source Terms (1999) (14)
Optimal Neumann Control for the Two-dimensional Steady-state Navier-Stokes equations (2009) (13)
Well-Posedness of a Linear Spatio-Temporal Model of the JAK2/STAT5 Signaling Pathway (2013) (13)
A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator (2013) (13)
Adaptive finite element discretization in PDE‐based optimization (2010) (13)
Methods for Numerical Flow Simulation (2008) (13)
Mesh and Model Adaptivity for Flow Problems (2007) (13)
Adaptive Finite Element Discretization of Flow Problems for Goal-Oriented Model Reduction (2009) (13)
Mesh Orientation and Anisotropic Refinement in the Streamline Diffusion Method (1994) (12)
Adaptive Finite Element Methods for Partial Differential Equations (2003) (12)
A Posteriori Error Estimation in PDE-constrained Optimization with Pointwise Inequality Constraints (2012) (12)
Contributions to current challenges in mathematical fluid mechanics (2004) (12)
Some asymptotic error estimates for finite element approximation of minimal surfaces (1977) (12)
Nonhomogeneous Navier-Stokes equations in spaces of low regularity (2002) (11)
Arti cial Boundaries and Flux and PressureConditions for the IncompressibleNavier-Stokes EquationsJohn (1992) (11)
Adaptive finite element methods for differntial equations (2003) (10)
Multiple Shooting and Time Domain Decomposition Methods: MuS-TDD, Heidelberg, May 6-8, 2013 (2015) (9)
Reactive flows, diffusion and transport : from experiments via mathematical modeling to numerical simulation and optimization : final report of SFB (Collaborative research center) 359 (2007) (9)
Computational Aspects of Pseudospectra in Hydrodynamic Stability Analysis (2012) (9)
Foundations of Computational Mathematics: Adaptive finite element methods for flow problems (2001) (9)
Pointwise convergence of some boundary element methods. Part II (1988) (9)
A method for computing compressible, highly stratified flows in astrophysics based on operator splitting (1998) (8)
Error analysis for the finite element approximation of a radiative transfer model (1996) (8)
Detailed Numerical Simulations in Flow Reactors: A New Approach in Measuring Absolute Rate Constants (1996) (8)
Determination of Kinetic Parameters in Laminar Flow Reactors. I. Theoretical Aspects (2007) (8)
Time-Dependent Problems (2003) (8)
A General Concept of Adaptivity in Finite Element Methods with Applications to Problems in Fluid and Structural Mechanics (1999) (8)
Error Control in Finite Element Computations an Introduction to Error Estimation and Mesh-size Adaptation (1998) (7)
On the adaptive discretization of PDE-based optimization problems (2006) (7)
Adaptive solution of PDE-constrained optimal control problems (2006) (6)
Spatial aspects in the SMAD signaling pathway (2013) (6)
A Duality-Based Optimization Approach for Model Adaptivity in Heterogeneous Multiscale Problems (2016) (6)
On the numerical analysis of the nonstationary Navier-Stokes equations (1990) (6)
Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems (2016) (5)
Modeling, Simulation and Optimization of Complex Processes, Proceedings of the International Conference on High Performance Scientific Computing, March 10-14, 2003, Hanoi, Vietnam (2005) (5)
Adaptive FEM for eigenvalue problems (2003) (5)
Adaptive FE Eigenvalue Computation with Applications to Hydrodynamic Stability (2010) (5)
A short course on numerical simulation of viscous flow:Discretization, optimization and stability analysis (2012) (5)
Richardson Extrapolation with Finite Elements (1987) (5)
On the Adjoint to the Damped Crank-Nicolson Time Marching Scheme : Applications to Goal-Oriented Mesh Adaptation for the Black-Scholes Equation (2012) (4)
Balancing Discretization and Iteration Error in Finite Element A Posteriori Error Analysis (2013) (4)
Incompressible Viscous Ows (2004) (4)
Domain Decomposition in the Nonstationary Streamline Diffusion Finite Element Method (1994) (4)
Duality Techniques for Error Estimation and Mesh Adaptation in Finite Element Methods (2005) (3)
An Adaptive Finite Element Method for Problems in Perfect Plasticity (1999) (3)
Contemporary Mathematics Adaptive Finite Element Methods in Flow Computations (2005) (3)
Numerical Treatment of the Navier-Stokes Equations (1990) (3)
BIT Numerical Mathematics: Editorial (2005) (3)
Interaction Between Experiment, Modeling and Simulation of Spatial Aspects in the JAK2/STAT5 Signaling Pathway (2013) (3)
Advances in mathematical fluid mechanics : dedicated to Giovanni Paolo Galdi on the occasion of his 60th birthday (2010) (2)
A Numerical Tool for Flow Simulation in a Wankel Motor (2003) (2)
Mesh Adaptation via a Predictor-Corrector Strategy in the Streamline Diffusion Method for Nonstationary Hyperbolic Systems (1994) (2)
Accurate Time Discretization Schemes for Computing Nonstationary Incompressible Fluid Flow (1994) (2)
Parallel solution methods for the Navier-Stokes equations (1995) (2)
Introduction to Part III Adaptivity and Model Reduction (2014) (2)
Proceedings of the 2nd Summer Conference Numerical Modelling in Continuum Mechanics. Preface (1995) (1)
NUMERICAL LINEAR ALGEBRA (2014) (1)
On the Numerical Simulation of the Free Fall Problem (2003) (1)
On Error Control for Reactive Flow Problems (1999) (1)
Applications in Structural Mechanics (2003) (1)
An ODE Model Case (2003) (1)
Modeling, Simulation and Optimization of Complex Processes HPSC 2015 (2017) (1)
Chinese–German Computational and Applied Mathematics (2016) (1)
Modeling, Simulation and Optimization of Complex Processes - HPSC 2012, Proceedings of the Fifth International Conference on High Performance Scientific Computing, March 5-9, 2012, Hanoi, Vietnam (2014) (1)
Model Reduction by Adaptive Discretization in Optimal Control (2014) (1)
Numerical treatment of the Navier-Stokes equations : proceedings of the fifth GAMM-Seminar, Kiel, January 20-22, 1989 (1990) (0)
XII GAMM Workshop on Applied and Numerical Linear Algebra (2012) (0)
Adaptive Numerical Methods for PDEs (2007) (0)
Mini-Workshop: Theory and Numerics of Fluid-Solid Interaction (2007) (0)
A Priori Error Analysis for the Galerkin Finite Element Semi-discretization of a Parabolic System with Non-Lipschitzian Nonlinearity (2016) (0)
AN OPERATOR SPLITTING APPROACH FOR COMPUTING COMPRESSIBLE FLOWS IN ASTROPHYSICS (1994) (0)
Croucher Foundation (2018) (0)
Interview with Willi Jäger (2003) (0)
Stability and Smoothing Properties of Time Discretization Schemes (1988) (0)
A posteriori error analysis for stabilised nite elementapproximations of transport problemsPaul (1999) (0)
On the Theoretical Foundation of CFD (1994) (0)
Numerical methods for the Navier-Stokes equations : proceedings of the International Workshop held at Heidelberg, October 25-28, 1993 (1994) (0)
ON A CRITERION FOR LOCATlNG STABLE STATIONARY SOLUTIONS TO THE NAVIER-STOKES EQUATIONS (2001) (0)
An Abstract Approach for Nonlinear Problems (2003) (0)
Retrieval of Height Profiles of Trace Gases by Optimal Parameter Estimation (1997) (0)
The Limits of Theoretical Analysis (2003) (0)
Towards a complete numerical description of lubricant film dynamics in ball bearings (2013) (0)
Applications in Fluid Mechanics (2003) (0)
On the Numerical Approximability of Stable Dynamical Systems (2018) (0)
On the Numerical Approximability of Stable Dynamical Systems (2018) (0)
Workshop on PDE Constrained Optimization of Certain and Uncertain Processes 2009 (2009) (0)
Modeling, Simulation and Optimization of Complex Processes, Proceedings of the Fourth International Conference on High Performance Scientific Computing, March 2-6, 2009, Hanoi, Vietnam (2012) (0)
Miscellaneous and Open Problems (2003) (0)
Olga Alexandrovna Ladyzhenskaya (March 7, 1922 - January 2, 2004) (2004) (0)
Spatial aspects in the SMAD signaling pathway (2012) (0)
An Adaptive Finite Element Method forCombustion Problems 1 2 (1997) (0)
Self-Adaptive Methods for PDE (2004) (0)
Jindřich Nečas (December 14, 1929 - December 5, 2002) (2003) (0)
Preface: Special Issue for ``the 2nd Sino-German workshop on Computational and Applied Mathematics'' (2009) (0)
Introduction to Part V: Applications (2014) (0)
Simulation and Optimization of Bio-Chemical Microreactors (2008) (0)
Mini-Workshop: Numerical Methods for Instationary Control Problems (2004) (0)
Direct versus indirect multiple shooting for nonstationary PDE-based optimization problems (2009) (0)
A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator (2012) (0)
A Priori Error Analysis for the Galerkin Finite Element Semi-discretization of a Parabolic System with Non-Lipschitzian Nonlinearity (2017) (0)
Computational Aspects of Pseudospectra in Hydrodynamic Stability Analysis (2011) (0)
An Efficient Navier-Stokes Solver for Automotive Aerodynamics (2003) (0)
Transport of dust across the Sahara from satellite image sequence analysis (2009) (0)
Olga Alexandrovna Ladyzhenskaya (March 7, 1922 – January 2, 2004) (2004) (0)
Introduction: The Radiation Field and its Transfer Equation (2009) (0)
Numerical treatment of the Navier-Stokes equations; Proceedings of the 5th GAMM-Seminar, Universitaet Kiel, Federal Republic of Germany, Jan. 20-22, 1989 (1990) (0)

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