Publications


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Year Author Title Published in Paper Archive
2011 M. Besier,
R. Rannacher
Goal-oriented space-time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow accepted for Int. J. Numer. Meth. Fluids pdf
2011 D. Gerecht,
R. Rannacher,
W. Wollner
Computational aspects of pseudospectra in hydrodynamic stability analysis accepted for J. Math. Fluid Mech. pdf
2011 S. Frei,
R. Rannacher,
W. Wollner
A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator submitted to Calcolo pdf
2011 C. Goll,
R. Rannacher,
W. Wollner
Goal-oriented mesh adaptation in the space-time finite element approximation of the Black-Scholes equation sumitted to SIAM J. Financial Mathematics pdf
2010 R. Rannacher, A. Westenberger, W. Wollner Adaptive Finite Element Solution of Eigenvalue Problems: Balancing of Discretization and Iteration Error J. Numer. Math. 18(4), pp 303--327. (2010) pdf / ps.gz
2010 W. Bangerth, M. Geiger, R. Rannacher Adaptive Galerkin finite element methods for the wave equation Comput. Meth. Appl. Math. 10, 3--48 (2010) pdf / ps.gz
2009 G. Kanschat, E. Meinköhn, R. Rannacher, R. Wehrse The radiative field and its transer equation Numerical Methods in Multidimensional Radiative Transfer (G. Kanschat et al., eds), Springer, Berlin-Heidelberg, 2009 pdf / ps.gz
2009 R. Rannacher Adaptive FE eigenvalue approximation with application to hydrodynamic stability Proc. Int. Conf. "Mathematical Fluid Mechanics", Estoril, Spain, May 21-25, 2007 (A. Sequeira and R. Rannacher, eds), Springer, Heidelberg, 2009, to appear pdf / ps.gz
2009 A. V. Fursikov, R. Rannacher Optimal Neumann control for the 2D steady state Navier-Stokes equations in New Directions in Mathematical Fluid Mechanics (A. V. Fursikov, et al., eds), pp. 193--221, Advances in Mathematical Fluid Mechanics, Birkhaeuser, Basel, 2009. pdf / ps.gz
2009 Th. Dunne, R. Rannacher, Th. Richter Numerical simulation of fluid-structure interaction based on monolithic variational formulations in Series "Comtemporary Challenges in Mathematical Fluid Mechanics" (G.P. Galdi, R. Rannacher, eds.), World Scientific, Singapore, to appear 2010. pdf / ps.gz
2009 D. Meidner, R. Rannacher, J. Vihharev Goal-Oriented Error Control of the Iterative Solution of Finite Element Equations Journal of Numerical Mathematics 17, 143 - 172 (2009) pdf / ps.gz
2008 R. Rannacher Adaptive finite element discretization of flow problems for goal-oriented model reduction Computational Fluid Dynamics Review 2008 (M. Hafez and K. Oshima, eds), World Scientific, Singapore, to appear pdf / ps.gz
2008 S. May, R. Rannacher, B. Vexler A priori error analysis for a finite element approximation of elliptic Dirichlet boundary control problems Proc. ENUMATH-2007, Graz 2007 (K. Kunisch et al., eds), 637-644, Springer, Berlin-Heidelberg, 2008 pdf / ps.gz
2008 A.V. Fursikov, R.Rannacher Optimal Neumann control for the 2D steady state Navier-Stokes equations Series Mathematical Fluid Mechanics, Birkhäuser, Basel pdf / ps.gz
2008 H.K. Hesse, R. Rannacher Direct versus indirect multiple shooting for nonstationary PDE-based optimization problems Optim. Meth. & Software, submitted pdf / ps.gz
2008 R. Rannacher Adaptive finite element discretization of flow problems for goal-oriented model reduction Proceedings ICCFD, Seoul, July 2008 pdf / ps.gz
2008 S. May, R. Rannacher, B. Vexler Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems SIAM J. Control Optim., submitted pdf / ps.gz
2007 P. Li, G. Remmert, J.Biederer, R. Rannacher, R. Bendl Nonlinear finite element simulation of target movement of lung in radiotherapy Proc. of the XVth International Conference on the Use of Computers in Radiation Therapy (ICCR) Volume I (J.P. Bissonette, ed.), Oakville, Ontario, Canada: Novel Digital Publishing (2007) 128-132 pdf / ps.gz
2007 R. Rannacher Methods for Numerical Flow Simulation in Lecture Notes of Oberwolfach Seminar "Hemodynamical Flows: Aspects of Modeling, Analysis and Simoluation", Nov. 20-26, Oberwolfach (G.P. Galdi, R. Rannacher et al., eds.), Birkhäuser, Basel, 2007. pdf / ps.gz
2007 S. Bönisch, Th. Dunne, R. Rannacher Numerics of fluid-structure interaction in Lecture Notes of Oberwolfach Seminar "Hemodynamical Flows: Aspects of Modeling, Analysis and Simoluation", Nov. 20-26, Oberwolfach (G.P. Galdi, R. Rannacher et al., eds.), Birkhäuser, Basel, 2007. pdf / ps.gz
2006 R. Rannacher Adaptive solution of PDE-constrained optimal control problems Proc. The 2nd Intern. Conf. on Scientific Computing and Partial Differential Equations (SCPDE05) & The First East Aasia SIAM Symposium, Dec. 12-16, 2005, Hong Kong (Wenbin Liu et al., eds), to appear. pdf / ps.gz
2006 R. Rannacher On the adaptive discretization of PDE-based optimization problems In "PDE Constrained Optimization" (M. Heinkenschloss et al., eds), Springer, Heidelberg, 2009 pdf / ps.gz
2006 V. Heuveline, R. Rannacher Adaptive FEM for eigenvalue problems with application in hydrodynamic stability analysis In "Advances in Numerical Mathematics", Proc. Int. Conf. , Sept. 16-17, 2005, Moscow, Moscow: Institute of Numerical Mathematics RAS, 2006. pdf / ps.gz
2006 Th. Dunne, R. Rannacher Adaptive finite element simulation of fluid structure interaction based on an Eulerian variational formulation In "Fluid-Structure Interaction Modelling, Simulation, Optimization" (H.-J. Bungartz, Michael Schäfer, eds.) Springer, Berlin, 2006. pdf / ps.gz
2005 R. Rannacher Duality techniques for error estimation and mesh adaptation in finite element methods Proc. CISM-Course Adaptive Finite Elements in Linear and Nonlinear Solid and Structural Mechanics, Udine, Oct. 4-8, 1999 (E. Stein, ed.), pp. 1-58, Springer Wien-New York, 2005 pdf / ps.gz
2005 G. Kanschat, E. Meinköhn, R. Rannacher, R. Wehrse Numerical methods for multidimensional radiative transfer problems In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf / ps.gz
2005 Th. Carraro, V. Heuveline, R. Rannacher Determination of kinetic parameters in laminar flow reactors. I. Theoretical aspects In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf / ps.gz
2005 R. Becker, M. Braack, R. Rannacher, T. Richter Mesh and model adaptivity for flow problems In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf / ps.gz
2005 R. Becker, M. Braack, D. Meidner, R. Rannacher, B. Vexler Adaptive finite element methods for PDE-constrained optimal control problems In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf / ps.gz
2005 E. Meinköhn, G. Kanschat, R. Rannacher, R. Wehrse Numerical methods for multidimensional radiative transfer In "Reactive Flows, Diffusion and Transport" (J. Jäger et al., eds.), Springer, Berlin, 2006 pdf / ps.gz
2004 R. Rannacher Incompressible viscous flow Encyclopedia of Computational Mechanics (E. Stein, R. de Borst, T.J.R. Hughes, eds), Volume 3 'Fluids', John Wiley, Chichester, 2004 pdf / ps.gz
2004 S. Bönisch, V. Heuveline, R. Rannacher On the numerical simulation of the free fall problem Proc. Int. Conf. High Performance Scientific Computing, March 10-14, 2003, Hanoi, Vietnam (H.G. Bock et al., eds), pp. 47-56, Springer, Heidelberg, 2005 pdf / ps.gz
2004 R. Rannacher, B. Vexler A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements SIAM J. Control and Optimization 44, 1844-1863 (2005) pdf / ps.gz
2004 M. Braack, R. Rannacher, M. Schmich A computational study of a splitting scheme for weakly compressible stationary viscous flow Preprint pdf / ps.gz
2003 V. Heuveline, R. Rannacher A numerical tool for flow simulation in a Wankel motor Mathematics - Key Technology for the Future (W. Jäger, H.-J. Krebs, eds), pp. 33-42, Springer, 2003 pdf / ps.gz
2003 V. Heuveline, R. Rannacher Adaptive FEM for eigenvaulue problems In Proc. ENUMATH-01 (F. Brezzi et al., eds), pp. 713-722, Springer Italia, Milano, 2003 pdf / ps.gz
2003 V. Heuveline, R. Rannacher Duality-based adaptivity in the hp-finite element method J. Numer. Math. 11, 95-103 (2003) pdf / ps.gz
2002 G. Kanschat, R. Rannacher Local error analysis of the interior penalty discontinous Galerkin method for second order elliptic problems J. Numer. Math. 4, 249-274 (2002) pdf / ps.gz
2002 R. Becker, V. Heuveline, R. Rannacher An optimal control approach to adaptivity in computational fluid mechanics Int. J. Numer. Meth. Fluids. 40, 105-120 (2002) pdf / ps.gz
2002 R. Rannacher, F.-T. Suttmeier Error estimation and adaptive mesh design for FE models in elasto-plasticity in “Error-Controlled Adaptive FEMs in Solid Mechanics (E. Stein, ed.), pp. 5--52, John Wiley, Chichster, 2002. pdf / ps.gz
2002 R. Rannacher Adaptive finite element methods for partial differential equations Proc. Int. Congr. of Mathematicians (ICM 2002), Beijing, China, August 20-28, 2002 (L.I. Tatsien, ed.), Vol. III, pp. 717--726, High Education Press, Beijing, 2003. pdf / ps.gz
2001 R. Becker, M. Braack, V. Heuveline, R. Rannacher Efficient numerical methods for the simulation of flow reactors Proc. Fourth Int. Conf. Modeling and Simulation of Microsystems, March, 19-21, 2001, Hilton Head Island, South California, USA pdf / ps.gz
2001 R. Becker, R. Rannacher Error control for model reduction by discretization in optimal control of flows In "Topics in Mathematical Fluid Mechanics" (G.P. Galdi, R. Rannacher, eds), pp. 34-39, Quaderni di Matematica 10, 2003. pdf / ps.gz
2001 R. Rannacher An adaptive finite element methods for flow problems Proc. ISCFD99, Bremen, Sept. 5-10, 1999, (K. Oshima, ed.), Special Issue of Comput. Fluid Dynamics J., 35-48 (2001) pdf / ps.gz
2001 V. Heuveline, R. Rannacher A posteriori error control for finite element approximations of elliptic eigenvalue problems Advances in Comput. Math. 15, 1-32 (2001) pdf / ps.gz
2001 R. Becker, R. Rannacher An optimal control approach to a posteriori error estimation in finite element methods. Acta Numerica 2000 (A. Iserles, ed.), pp. 1-102, Cambridge University Press, 2001. pdf / ps.gz
2000 P. Houston, R. Rannacher, E. Süli A posteriori error analysis for stabilised finite element approximations of transport problems Comput. Meth. Appl. Mech. Engrg. 190, 1483-1508 (2000) pdf / ps.gz
2000 R. Becker, M. Braack, R. Rannacher Adaptive finite element methods for flow problems In Foundations of Computational Mathematics (R.A. DeVore, A. Iserles, E. Süli, eds), pp. 21-44, Cambridge University Press, 2001. pdf / ps.gz
2000 R. Becker, M. Braack, R. Rannacher Numerical simulation of chemical reacting flows Proc. Workshop of Interdisciplinary Design and Simulation Tools for Micro- and Biomedical Fluid Applications, IMM, 2000 pdf / ps.gz
2000 R. Rannacher The dual-weighted-residual method for error control and mesh adaptation in finite element methods Proc. MAFELAP 1999 (J.R. Whiteman, ed), pp. 97-116, Elsevier, Amsterdam, 2000 pdf / ps.gz
2000 R. Rannacher, F.-T. Suttmeier Error estimation and adaptive mesh design for FE models in elasto-plasticity In “Error-Controlled Adaptive FEMs in Solid Mechanics (E. Stein, ed.), pp. 5--52, John Wiley, Chichster, 2002. pdf / ps.gz
2000 R. Rannacher Adaptive Galerkin finite element methods for partial differential equations J. Comput. Appl. Math. 128, 205-233 (2001) pdf / ps.gz
2000 A. Hujeirat, R. Rannacher On the efficiency and robustness of implicit methods in computational astrophysics New Astronomy Reviews 45, 425-447 (2000) pdf / ps.gz
2000 W. Bangerth, R. Rannacher Adaptive finite element techniques for the acoustic wave equation J. Comput. Acoustics 9, 575-591 (2001) pdf / ps.gz
1999 M. Braack, R. Rannacher Adaptive finite element methods for low Mach number flows with chemical reactions In 30th Computational Fluid Dynamics (H. Deconinck, ed.), Volume 1999-03, Lecture Series, von Karman Institute of Fluid Dynamics, Brussels, 1999. pdf / ps.gz
1999 P. Houston, R. Rannacher, E. Süli A posteriori error analysis for stabilized finite element approximations of transport problems Comput. Meth. Appl. Mech. Engrg. 190, 1483-1508 (2000) pdf / ps.gz
1999 R. Becker, M. Braack, R. Rannacher, C. Waguet Fast and reliable solution of the Navier-Stokes equations including chemistry Comput. Visual. Sci. 2, 107-122 (1999) pdf / ps.gz
1999 R. Becker, M. Braack, R. Rannacher Numerical simulation of laminar flames at low Mach number by adaptive finite elements Combust. Theory Modelling 3, 503-534 (1999) pdf / ps.gz
1999 R. Becker, M. Braack, R. Rannacher On Error Control for Reactive Flow Problems Scientific Computing in Chemical Engineering II, Computational Fluid Dynamics, Reaction Engineering, and Molecular Properties, Vol. 1, 1999, p. 320-327, Springer Berlin pdf / ps.gz
1999 R. Rannacher Adaptive Galerkin finite element methods for partial differential equations J. Comput. Appl. Math. 128, 205-233 (2001). pdf / ps.gz
1999 R. Rannacher Finite element methods for the incompressible Navier-Stokes equations In Fundamental Directions in Mathematical Fluid Mechanics (P. Galdi, J. Heywood, and R. Rannacher, eds.), pp. 191-293, Birkhäuser, Basel, 2000. pdf / ps.gz
1999 W. Bangerth, R. Rannacher Finite element approximation of the acoustic wave equation: error control and mesh refinement East-West J. Numer. Math. 7, 263-282 (1999) pdf / ps.gz
1999 R. Becker, H. Kapp, R. Rannacher Adaptive finite element methods for optimization problems Proc. Conf. Numer. Analysis 1999 (D.F. Griffiths and G.A. Watson, eds.), pp. 21-42, Chapman&Hall/CRC, London, 2000. pdf / ps.gz
1999 F.-K. Hebeker, R. Rannacher An adaptive finite element method for unsteady convection-dominated flows with stiff source terms SIAM J. Sci. Comput. 21, 799-818 (1999) pdf / ps.gz
1999 R. Becker, H. Kapp, R. Rannacher Adaptive finite element methods for optimal control of partial differential equations: basic concepts SIAM J. Optimization Control 39, 113-132 (2000) pdf / ps.gz
1998 R. Rannacher, F.-T. Suttmeier A posteriori error estimation and mesh adaptation for finite element models in elasto-plasticity Comput. Methods Appl. Mech. Engrg. 176, 333-361 (1999) pdf / ps.gz
1998 A. Hujeirat, R. Rannacher A method for computing compressible, highly stratified flows in astrophysics based on operator splitting Int. J. Numer. Meth. Fluids 28, 1-22 (1998) pdf / ps.gz
1998 M. Braack, R. Becker, R. Rannacher, J. Warnatz An adaptive finite element method for combustion problems Proc. 3rd. Summer Conf. Numer. Modelling in Cont. Mechanics, Prague, p. 91-100 pdf / ps.gz
1998 M. Schäfer, S. Turek, R. Rannacher Evaluation of a CFD benchmark for laminar flows Proc. ENUMATH-97, Heidelberg, Sept. 28 - Oct.3, (H. G. Bock, et al., eds.), pp. 549-563, World Scientific Publ., Singapore, 1998. pdf / ps.gz
1998 R. Rannacher Error control in finite element computations Proc. NATO-Summer School “Error Control and Adaptivity in Scientific Computing”, Antalya, Turkey, Aug. 9-12, 1998 (H. Bulgak, C. Zenger, eds.), pp. 247-278, NATO Science Series, Kluwer Academic Publ., Dortrecht/Boston/London, 1999. pdf / ps.gz
1997 R. Rannacher A posteriori error estimation in least-squares stabilized finite element schemes Comput. Meth. Appl. Mech. Engrg. 166, 99-114 (1998) pdf / ps.gz
1997 R. Rannacher, F.-T. Suttmeier A posteriori error control and mesh adaptation in elasticity and elasto-plasticity Proc. Workshop “Advances in Adaptive Computational Methods in Mechanics”, Cachan, Sept. 17-19, 1997 (P. Ladeveze and T. Oden, eds.), pp. 275-292, Elsevier, 1998. pdf / ps.gz
1997 C. Führer, R. Rannacher An adaptive streamline-diffusion finite element method for hyperbolic conservation laws East-West J. Numer. Math. 5, 145-162 (1997) pdf / ps.gz
1997 R. Rannacher, F.-T. Suttmeier A posteriori error control in finite element methods via duality techniques: application to perfect plasticity Computational Mechanics 21, 123-133 (1998) pdf / ps.gz
1997 M. Braack, R. Becker, R. Rannacher Adaptive Finite Elements for Reactive Flows In Proceedings ENUMATH-97, Heidelberg 1997, (H.G. Bock et al., eds.), p. 206-213, WorldScientific Publ., Singapore, 1998 pdf / ps.gz
1996 A. Hujeirat, R. Rannacher A method for computing compressible, highly stratified flows in astrophysics based on operator splitting Int. J. Numer. Meth. Fluids 28, 1-22 (1998) pdf / ps.gz
1996 Böttcher, R. Rannacher Adaptive error control in solving ordinary differential equations by the discontinuous Galerkin method Report, Institute of Applied Mathematics, University of Heidelberg, 1996. pdf / ps.gz
1996 C. Führer, R. Rannacher Error analysis for the finite element approximation of a radiative transfer model M2AN Math. Model. Numer. Anal. 30, 743-762 (1996) pdf / ps.gz
1996 J. Segatz, J. Wichmann, C. Orlemann, T. Dreier, J. Wolfrum, R. Rannacher Detailed numerical simulations in flow reactors - a new approach in measuring absolute rate constants J. Physical Chemistry 100(22), 9323-9333 (1996) pdf / ps.gz
1996 R. Becker, R. Rannacher A feed-back approach to error control in finite element methods: basic analysis and examples East-West J. Numer. Math. 4, 237-264 (1996) pdf / ps.gz
1996 R. Becker, R. Rannacher Weighted a posteriori error control in FE methods Lecture ENUMATH-95, Paris, Sept. 18-22, 1995, in: Proc. ENUMATH-97, Heidelberg, Sept. 28 - Oct.3, 1997 (H.G. Bock, et al., eds.), pp. 621-637, World Scientific Publ., Singapore, 1998. pdf / ps.gz
1996 R. Rannacher, G. Zhou Pointwise superconvergence of the streamline diffusion finite element method Numer. Meth. Part. Diff. Equ. 12, 123-145 (1996) pdf / ps.gz
1996 R. Rannacher, F.-T. Suttmeier A feed-back approach to error control in finite element methods: application to linear elasticity Computational Mechanics 19, 434-446 (1997) pdf / ps.gz
1996 G. Nabh, R. Rannacher A comparative study of nonlinear Galerkin finite element methods for dissipative evolution problems East-West J. Numer. Math. 5, 113-144 (1997) pdf / ps.gz
1995 C. Johnson, R. Rannacher, Boman On transition to turbulence and error control in CFD Report, Institute of Applied Mathematics, University of Heidelberg, 1995. pdf / ps.gz
1995 R. Becker, C. Johnson, R. Rannacher Adaptive error control for multigrid finite element methods Computing 55, 271-288 (1995) pdf / ps.gz
1994 A. Hujeirat, R. Rannacher An operator splitting approach for computing compressible flows in astrophysics Proc. Workshop Numerical Methods for the Navier-Stokes equiations (F.-K. Hebeker, R. Rannacher, G. Wittum, eds.), Heidelberg, Oct. 25-28, 1993, pp. 121-132, NNFM 47, Vieweg, 1994. pdf / ps.gz
1994 C. Johnson, R. Rannacher On error control in CFD Proc. Workshop “Numerical Methods for the Navier-Stokes equiations” (F.-K. Hebeker, R. Rannacher, G. Wittum, eds.), Heidelberg, Oct. 25-28, 1993, pp. 133-144, NNFM 47, Vieweg, 1994. pdf / ps.gz
1994 J. G. Heywood, R. Rannacher, S. Turek Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations Int. J. Comput. Fluid Mech. 22, 325-352 (1996) pdf / ps.gz
1994 R. Becker, R. Rannacher Finite element solution of the incompressible Navier-Stokes equations on anisotropically refined meshes Proc. 10th GAMM-Seminar Fast Solvers for Flow Problems, Kiel, Jan. 14-16, 1994, (W. Hackbusch, G. Wittum, eds.), pp. 52-62, NNFM, Vol. 49, Vieweg, 1995. pdf / ps.gz
1994 R. Rannacher, H. Zhou Analysis of a domain-splitting method for nonstationary convection-diffusion problems East-West J. Numer. Math. 2, 151-172 (1994) pdf / ps.gz
1993 C. Johnson, R. Rannacher, M. Boman Numerics and hydrodynamic stability: Towards error control in CFD SIAM J. Numer. Anal. 32, 1058-1079 (1995) pdf / ps.gz
1993 G. Zhou, R. Rannacher Mesh orientation and anisotropic refinement in the streamline diffusion method Proc. “Finite Element Methods: Fifty Years of the Courant Element”, Jyväskylä, September 1993 (P. Neittaanmäki, et al., eds.), pp. 491-500, Marcel Dekker, 1994. pdf / ps.gz
1993 H. Chen, R. Rannacher Local error expansions and Richardson extrapolation for the streamline diffusion finite element method East-West J. Numer. Math. 1, 253-265 (1993) pdf / ps.gz
1993 H. Chen, R. Rannacher Superconvergence properties of finite element schemes for the Navier-Stokes problem Preprint 93-37(SFB 359), IWR University of Heidelberg, July 1993. pdf / ps.gz
1993 R. Rannacher Domain decomposition in the nonstationary streamline diffusion finite element method Proc. Finite Element Methods: Fifty Years of the Courant Element, Jyväskylä, September 1993 (P. Neittaanmäki, et al., eds.), pp. 367-380, Marcel Dekker, 1994. pdf / ps.gz
1993 R. Rannacher, G. Zhou Mesh adaptation via a predictor-corrector strategy in the streamline diffusion method for nonstationary hyperbolic systems Proc. GAMM Seminar Adaptive Methods, Kiel 1993 (W. Hackbusch, G. Wittum, eds.), pp. 236-250, NNFM, Vol. 46, Vieweg, 1994. pdf / ps.gz
1992 J. G. Heywood, R. Rannacher On the question of turbulence modeling by approximate inertial manifolds and the nonlinear Galerkin method SIAM J. Numer. Anal. 30, 1603-1621 (1993) pdf / ps.gz
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