Maier, Matthias; Rannacher, Rolf A duality-based optimization approach for model adaptivity in heterogeneous multiscale problems. (English) Zbl 1445.35136 Multiscale Model. Simul. 16, No. 1, 412-428 (2018). MSC: 35J15 65C20 65N12 65N15 65N30 65N50 PDFBibTeX XMLCite \textit{M. Maier} and \textit{R. Rannacher}, Multiscale Model. Simul. 16, No. 1, 412--428 (2018; Zbl 1445.35136) Full Text: arXiv
Maier, Matthias; Rannacher, Rolf Duality-based adaptivity in finite element discretization of heterogeneous multiscale problems. (English) Zbl 1351.65090 J. Numer. Math. 24, No. 3, 167-187 (2016). MSC: 65N30 65N12 65N15 65N50 65N55 35J25 PDFBibTeX XMLCite \textit{M. Maier} and \textit{R. Rannacher}, J. Numer. Math. 24, No. 3, 167--187 (2016; Zbl 1351.65090) Full Text: DOI
Rannacher, Rolf Model reduction by adaptive discretization in optimal control. (English) Zbl 1320.49017 Leugering, Günter (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). ISNM. International Series of Numerical Mathematics 165, 251-284 (2014). MSC: 49M25 49J20 49M05 49M15 49M29 65K10 65M50 65M60 65N22 65N30 65N50 PDFBibTeX XMLCite \textit{R. Rannacher}, ISNM, Int. Ser. Numer. Math. 165, 251--284 (2014; Zbl 1320.49017) Full Text: DOI
Knauf, Stefan; Frei, Stefan; Richter, Thomas; Rannacher, Rolf Towards a complete numerical description of lubricant film dynamics in ball bearings. (English) Zbl 1398.76111 Comput. Mech. 53, No. 2, 239-255 (2014). MSC: 76M10 76D05 65N30 65Z05 76D07 PDFBibTeX XMLCite \textit{S. Knauf} et al., Comput. Mech. 53, No. 2, 239--255 (2014; Zbl 1398.76111) Full Text: DOI
Leugering, Günter (ed.); Benner, Peter (ed.); Engell, Sebastian (ed.); Griewank, Andreas (ed.); Harbrecht, Helmut (ed.); Hinze, Michael (ed.); Rannacher, Rolf (ed.); Ulbrich, Stefan (ed.) Trends in PDE constrained optimization. (English) Zbl 1306.49001 ISNM. International Series of Numerical Mathematics 165. Cham: Birkhäuser/Springer (ISBN 978-3-319-05082-9/hbk; 978-3-319-05083-6/ebook). xiv, 543 p. (2014). MSC: 49-06 49K20 49K30 49J20 65K10 65M60 65N30 00B15 PDFBibTeX XMLCite \textit{G. Leugering} (ed.) et al., Trends in PDE constrained optimization. Cham: Birkhäuser/Springer (2014; Zbl 1306.49001) Full Text: DOI
Frei, S.; Rannacher, R.; Wollner, W. A priori error estimates for the finite element discretization of optimal distributed control problems governed by the biharmonic operator. (English) Zbl 1273.65164 Calcolo 50, No. 3, 165-193 (2013). MSC: 65N12 65N15 65N30 65K10 93B40 PDFBibTeX XMLCite \textit{S. Frei} et al., Calcolo 50, No. 3, 165--193 (2013; Zbl 1273.65164) Full Text: DOI
May, S.; Rannacher, R.; Vexler, B. Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems. (English) Zbl 1273.65087 SIAM J. Control Optim. 51, No. 3, 2585-2611 (2013). MSC: 65K10 65N30 65N21 49M25 49K20 PDFBibTeX XMLCite \textit{S. May} et al., SIAM J. Control Optim. 51, No. 3, 2585--2611 (2013; Zbl 1273.65087) Full Text: DOI Link
Rannacher, Rolf; Vihharev, Jevgeni Balancing discretization and iteration error in finite element a posteriori error analysis. (English) Zbl 1267.65167 Repin, Sergei (ed.) et al., Numerical methods for differential equations, optimization, and technological problems. Dedicated to Professor P. Neittaanmäki on his 60th birthday. Selected papers based on the presentations at the ECCOMAS thematic conference computational analysis and optimization (CAO 2011), Jyväskylä, Finland, June 9–11, 2011. Dordrecht: Springer (ISBN 978-94-007-5287-0/hbk; 978-94-007-5288-7/ebook). Computational Methods in Applied Sciences (Springer) 27, 109-132 (2013). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{R. Rannacher} and \textit{J. Vihharev}, in: Numerical methods for differential equations, optimization, and technological problems. Dedicated to Professor P. Neittaanmäki on his 60th birthday. Selected papers based on the presentations at the ECCOMAS thematic conference computational analysis and optimization (CAO 2011), Jyväskylä, Finland, June 9--11, 2011. Dordrecht: Springer. 109--132 (2013; Zbl 1267.65167) Full Text: DOI
Rannacher, R.; Vihharev, J. Adaptive finite element analysis of nonlinear problems: balancing of discretization and iteration errors. (English) Zbl 1267.65184 J. Numer. Math. 21, No. 1, 23-62 (2013). MSC: 65N30 35J60 65N15 PDFBibTeX XMLCite \textit{R. Rannacher} and \textit{J. Vihharev}, J. Numer. Math. 21, No. 1, 23--62 (2013; Zbl 1267.65184) Full Text: DOI
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. (English) Zbl 1356.49052 Leugering, Günter (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). ISNM. International Series of Numerical Mathematics 160, 349-373 (2012). MSC: 49M25 65N30 65K10 90C59 PDFBibTeX XMLCite \textit{R. Rannacher} et al., ISNM, Int. Ser. Numer. Math. 160, 349--373 (2012; Zbl 1356.49052) Full Text: DOI
Rannacher, Rolf A short course on numerical simulation of viscous flow: discretization, optimization and stability analysis. (English) Zbl 1457.65132 Discrete Contin. Dyn. Syst., Ser. S 5, No. 6, 1147-1194 (2012). MSC: 65M60 65M12 65N30 76M10 35Q30 76D05 PDFBibTeX XMLCite \textit{R. Rannacher}, Discrete Contin. Dyn. Syst., Ser. S 5, No. 6, 1147--1194 (2012; Zbl 1457.65132) Full Text: DOI
Leugering, Günter (ed.); Engell, Sebastian (ed.); Griewank, Andreas (ed.); Hinze, Michael (ed.); Rannacher, Rolf (ed.); Schulz, Volker (ed.); Ulbrich, Michael (ed.); Ulbrich, Stefan (ed.) Constrained optimization and optimal control for partial differential equations. (English) Zbl 1231.49001 ISNM. International Series of Numerical Mathematics 160. Basel: Birkhäuser (ISBN 978-3-0348-0132-4/hbk; 978-3-0348-0133-1/ebook). xi, 622 p. (2012). MSC: 49-06 65-06 49J20 49K20 49M25 65K10 65M60 65N15 65N30 90C30 00B15 PDFBibTeX XMLCite \textit{G. Leugering} (ed.) et al., Constrained optimization and optimal control for partial differential equations. Basel: Birkhäuser (2012; Zbl 1231.49001) Full Text: DOI
Rannacher, R.; Westenberger, A.; Wollner, W. Adaptive finite element solution of eigenvalue problems: Balancing of discretization and iteration error. (English) Zbl 1222.65123 J. Numer. Math. 18, No. 4, 303-327 (2010). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 65N25 65N30 65N50 65N15 35P15 PDFBibTeX XMLCite \textit{R. Rannacher} et al., J. Numer. Math. 18, No. 4, 303--327 (2010; Zbl 1222.65123) Full Text: DOI
Meidner, D.; Rannacher, R.; Vihharev, J. Goal-oriented error control of the iterative solution of finite element equations. (English) Zbl 1169.65340 J. Numer. Math. 17, No. 2, 143-172 (2009). MSC: 65N15 65N30 35J05 76D07 65K10 76M10 49N10 65F10 PDFBibTeX XMLCite \textit{D. Meidner} et al., J. Numer. Math. 17, No. 2, 143--172 (2009; Zbl 1169.65340) Full Text: DOI
Becker, R.; Braack, M.; Rannacher, R.; Richter, T. Mesh and model adaptivity for flow problems. (English) Zbl 1398.76092 Jäger, Willi (ed.) et al., Reactive flows, diffusion and transport. From experiments via mathematical modeling to numerical simulation and optimization. Final report of SFB (Collaborative Research Center) 359. Berlin: Springer (ISBN 3-540-28379-X/hbk). 47-75 (2007). MSC: 76M10 76V05 76D05 76R99 65N30 PDFBibTeX XMLCite \textit{R. Becker} et al., in: Reactive flows, diffusion and transport. From experiments via mathematical modeling to numerical simulation and optimization. Final report of SFB (Collaborative Research Center) 359. Berlin: Springer. 47--75 (2007; Zbl 1398.76092) Full Text: DOI
Rannacher, R.; Vexler, B. A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements. (English) Zbl 1113.65102 SIAM J. Control Optim. 44, No. 5, 1844-1863 (2006). Reviewer: Nicolae Pop (Baia Mare) MSC: 65N21 35R30 35J25 65N30 65N15 PDFBibTeX XMLCite \textit{R. Rannacher} and \textit{B. Vexler}, SIAM J. Control Optim. 44, No. 5, 1844--1863 (2006; Zbl 1113.65102) Full Text: DOI
Heuveline, V.; Rannacher, R. Adaptive FEM for eigenvalue problems. (English) Zbl 1043.65122 Brezzi, Franco (ed.) et al., Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer (ISBN 88-470-0180-3/hbk). 713-722 (2003). MSC: 65N25 65N30 35P15 65N15 PDFBibTeX XMLCite \textit{V. Heuveline} and \textit{R. Rannacher}, in: Numerical mathematics and advanced applications. Proceedings of ENUMATH 2001, the 4th European conference, Ischia, July 2001. Berlin: Springer. 713--722 (2003; Zbl 1043.65122) Full Text: DOI
Heuveline, V.; Rannacher, R. Duality-based adaptivity in the \(hp\)-finite element method. (English) Zbl 1050.65111 J. Numer. Math. 11, No. 2, 95-113 (2003). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65N30 35J05 65N15 PDFBibTeX XMLCite \textit{V. Heuveline} and \textit{R. Rannacher}, J. Numer. Math. 11, No. 2, 95--113 (2003; Zbl 1050.65111) Full Text: DOI
Bangerth, Wolfgang; Rannacher, Rolf Adaptive finite element methods for differential equations. (English) Zbl 1020.65058 Lectures in Mathematics, ETH Zürich. Basel: Birkhäuser. viii, 207 p. EUR 22.00/net; sFr 35.00 (2003). Reviewer: Christian Grossmann (Dresden) MSC: 65M15 65M60 65L60 49M15 65L70 65K10 49J15 49J20 65-02 65N15 65N30 PDFBibTeX XMLCite \textit{W. Bangerth} and \textit{R. Rannacher}, Adaptive finite element methods for differential equations. Basel: Birkhäuser (2003; Zbl 1020.65058)
Becker, Roland; Rannacher, Rolf Error control for model reduction by discretization in optimal control of flows. (English) Zbl 1330.76062 Galdi, Giovanni P. (ed.) et al., Topics in mathematical fluid mechanics. Meeting on the occasion of Professor John G. Heywood sixtieth birthday, Capo Miseno, Italy, May 27–30, 2000. Rome: Aracne (ISBN 88-7999-410-7/hbk). Quad. Mat. 10, 33-59 (2002). MSC: 76M10 76D55 49K20 65N30 76D05 93B11 93C20 PDFBibTeX XMLCite \textit{R. Becker} and \textit{R. Rannacher}, Quad. Mat. 10, 33--59 (2002; Zbl 1330.76062)
Kanschat, G.; Rannacher, R. Local error analysis of the interior penalty discontinuous Galerkin method for second order elliptic problems. (English) Zbl 1022.65123 J. Numer. Math. 10, No. 4, 249-274 (2002). Reviewer: Erwin Schechter (Kaiserslautern) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{G. Kanschat} and \textit{R. Rannacher}, J. Numer. Math. 10, No. 4, 249--274 (2002; Zbl 1022.65123) Full Text: DOI
Rannacher, R. Adaptive finite element methods for partial differential equations. (English) Zbl 1003.65130 Li, Ta Tsien (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20-28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press. 717-726 (2002). Reviewer: Asaf D.Iskenderov (Baku) MSC: 65N30 65N15 65K10 35J65 49J20 49M15 PDFBibTeX XMLCite \textit{R. Rannacher}, in: Proceedings of the international congress of mathematicians, ICM 2002, Beijing, China, August 20--28, 2002. Vol. III: Invited lectures. Beijing: Higher Education Press; Singapore: World Scientific/distributor. 717--726 (2002; Zbl 1003.65130) Full Text: arXiv
Becker, Roland; Rannacher, Rolf An optimal control approach to a posteriori error estimation in finite element methods. (English) Zbl 1105.65349 Acta Numerica 10, 1-102 (2001). MSC: 65N15 65N30 PDFBibTeX XMLCite \textit{R. Becker} and \textit{R. Rannacher}, Acta Numerica 10, 1--102 (2001; Zbl 1105.65349) Full Text: DOI
Heuveline, Vincent; Rannacher, Rolf A posteriori error control for finite element approximations of elliptic eigenvalue problems. (English) Zbl 0995.65111 Adv. Comput. Math. 15, No. 1-4, 107-138 (2001). Reviewer: Nikolai L.Vulchanov (Warszawa) MSC: 65N25 65N15 35P15 65N30 PDFBibTeX XMLCite \textit{V. Heuveline} and \textit{R. Rannacher}, Adv. Comput. Math. 15, No. 1--4, 107--138 (2001; Zbl 0995.65111) Full Text: DOI
Becker, Roland; Braack, Malte; Rannacher, Rolf Adaptive finite element methods for flow problems. (English) Zbl 1008.76037 DeVore, Ronald A. (ed.) et al., Foundations of computational mathematics. Conference, Oxford, GB, July 18-28, 1999. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 284, 21-44 (2001). MSC: 76M10 76N15 65N30 65N15 65N50 PDFBibTeX XMLCite \textit{R. Becker} et al., Lond. Math. Soc. Lect. Note Ser. 284, 21--44 (2001; Zbl 1008.76037)
Rannacher, R. Adaptive Galerkin finite element methods for partial differential equations. (English) Zbl 0976.65101 J. Comput. Appl. Math. 128, No. 1-2, 205-233 (2001). Reviewer: Isaac Yevzerov (Kyïv) MSC: 65N30 65N15 35J25 65N50 PDFBibTeX XMLCite \textit{R. Rannacher}, J. Comput. Appl. Math. 128, No. 1--2, 205--233 (2001; Zbl 0976.65101) Full Text: DOI
Houston, Paul; Rannacher, Rolf; Süli, Endre A posteriori error analysis for stabilised finite element approximations of transport problems. (English) Zbl 0970.65115 Comput. Methods Appl. Mech. Eng. 190, No. 11-12, 1483-1508 (2000). Reviewer: Dietrich Braess (Bochum) MSC: 65N15 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{P. Houston} et al., Comput. Methods Appl. Mech. Eng. 190, No. 11--12, 1483--1508 (2000; Zbl 0970.65115) Full Text: DOI
Rannacher, Rolf The dual-weighted-residual method for error control and mesh adaptation in finite element methods. (English) Zbl 0959.65117 Whiteman, J. R. (ed.), The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22-25, 1999. Amsterdam: Elsevier. 97-116 (2000). MSC: 65N15 65N30 65N50 35J25 PDFBibTeX XMLCite \textit{R. Rannacher}, in: The mathematics of finite elements and applications X, MAFELAP 1999. Proceedings of the 10th conference, Brunel Univ., Uxbridge, Middlesex, GB, June 22--25, 1999. Amsterdam: Elsevier. 97--116 (2000; Zbl 0959.65117)
Rannacher, R. Error control in finite element computations. An introduction to error estimation and mesh-size adaptation. (English) Zbl 0943.65123 Bulgak, Haydar (ed.) et al., Error control and adaptivity in scientific computing. Proceedings of the NATO ASI, Antalya, Turkey, August 9-21, 1998. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 536, 247-278 (1999). MSC: 65N15 65N12 65N30 65N50 PDFBibTeX XMLCite \textit{R. Rannacher}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 536, 247--278 (1999; Zbl 0943.65123)
Becker, Roland; Rannacher, Rolf A general concept of adaptivity in finite element methods with applications to problems in fluid and structural mechanics. (English) Zbl 0937.65122 Bern, Marshall W. (ed.) et al., Grid generation and adaptive algorithms. Proceedings of a workshop, integral part of 1996-97 IMA program, Minnesota Univ., Minneapolis, MN, USA, April 28 - May 2, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 113, 51-75 (1999). MSC: 65N30 65N15 35J05 74S05 74C05 76M10 76D05 PDFBibTeX XMLCite \textit{R. Becker} and \textit{R. Rannacher}, IMA Vol. Math. Appl. 113, 51--75 (1999; Zbl 0937.65122)
Becker, R.; Rannacher, R. Weighted a posteriori error control in FE methods. (English) Zbl 0968.65083 Bock, Hans Georg (ed.) et al., ENUMATH 97. Proceedings of the 2nd European conference on numerical mathematics and advanced applications held in Heidelberg, Germany, September 28-October 3, 1997. Including a selection of papers from the 1st conference (ENUMATH 95) held in Paris, France, September 1995. Singapore: World Scientific. 621-637 (1998). MSC: 65N15 65N30 35J05 35Q30 PDFBibTeX XMLCite \textit{R. Becker} and \textit{R. Rannacher}, in: ENUMATH 97. Proceedings of the 2nd European conference on numerical mathematics and advanced applications held in Heidelberg, Germany, September 28--October 3, 1997. Including a selection of papers from the 1st conference (ENUMATH 95) held in Paris, France, September 1995. Singapore: World Scientific. 621--637 (1998; Zbl 0968.65083)
Rannacher, Rolf A posteriori error estimation in least-squares stabilized finite element schemes. (English) Zbl 0934.65118 Comput. Methods Appl. Mech. Eng. 166, No. 1-2, 99-114 (1998). Reviewer: Myron Sussman (Bethel Park) MSC: 65N15 76M10 76D07 35Q30 65N30 65N50 35J05 PDFBibTeX XMLCite \textit{R. Rannacher}, Comput. Methods Appl. Mech. Eng. 166, No. 1--2, 99--114 (1998; Zbl 0934.65118) Full Text: DOI
Becker, R.; Rannacher, R. A feed-back approach to error control in finite element methods: Basic analysis and examples. (English) Zbl 0868.65076 East-West J. Numer. Math. 4, No. 4, 237-264 (1996). Reviewer: I.N.Katz (St.Louis) MSC: 65N15 65N12 65N50 65N30 PDFBibTeX XMLCite \textit{R. Becker} and \textit{R. Rannacher}, East-West J. Numer. Math. 4, No. 4, 237--264 (1996; Zbl 0868.65076)
Zhou, Guohui; Rannacher, Rolf Pointwise superconvergence of the streamline diffusion finite-element method. (English) Zbl 0841.65092 Numer. Methods Partial Differ. Equations 12, No. 1, 123-145 (1996). Reviewer: N.F.F.Ebecken (Rio de Janeiro) MSC: 65N30 65N15 65N12 35J25 PDFBibTeX XMLCite \textit{G. Zhou} and \textit{R. Rannacher}, Numer. Methods Partial Differ. Equations 12, No. 1, 123--145 (1996; Zbl 0841.65092) Full Text: DOI
Becker, R.; Johnson, C.; Rannacher, R. Adaptive error control for multigrid finite element methods. (English) Zbl 0848.65074 Computing 55, No. 4, 271-288 (1995). Reviewer: H.Matthies (Hamburg) MSC: 65N15 35J05 65N55 65N30 65F10 PDFBibTeX XMLCite \textit{R. Becker} et al., Computing 55, No. 4, 271--288 (1995; Zbl 0848.65074) Full Text: DOI
Chen, H.; Rannacher, R. Local error expansions and Richardson extrapolation for the streamline diffusion finite element method. (English) Zbl 0835.65122 East-West J. Numer. Math. 1, No. 4, 253-265 (1993). MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{H. Chen} and \textit{R. Rannacher}, East-West J. Numer. Math. 1, No. 4, 253--265 (1993; Zbl 0835.65122)
Rannacher, R. Defect correction techniques in the finite element method. (English) Zbl 0784.65081 Chipot, M. (ed.) et al., Progress in partial differential equations: the Metz surveys. Papers from the ‘Metz days’ conferences, held in Metz, France, during 1989-1990. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 249, 184-200 (1991). MSC: 65N30 65M60 65N15 35J40 35K05 31A30 PDFBibTeX XMLCite \textit{R. Rannacher}, Pitman Res. Notes Math. Ser. 249, 184--200 (1991; Zbl 0784.65081)
Blum, H.; Rannacher, R. On mixed finite element methods in plate bending analysis. I: The first Herrmann scheme. (English) Zbl 0736.73061 Comput. Mech. 6, No. 3, 221-236 (1990). MSC: 74S05 74K20 65N30 65N12 PDFBibTeX XMLCite \textit{H. Blum} and \textit{R. Rannacher}, Comput. Mech. 6, No. 3, 221--236 (1990; Zbl 0736.73061) Full Text: DOI
Blum, H.; Rannacher, R. Finite element eigenvalue computation on domains with reentrant corners using Richardson extrapolation. (English) Zbl 0719.65077 J. Comput. Math. 8, No. 4, 321-332 (1990). Reviewer: K.T.S.Iyengar (Bangalore) MSC: 65N25 65N30 35P15 PDFBibTeX XMLCite \textit{H. Blum} and \textit{R. Rannacher}, J. Comput. Math. 8, No. 4, 321--332 (1990; Zbl 0719.65077)
Heywood, John G.; Rannacher, Rolf Finite-element approximation of the nonstationary Navier-Stokes problem. IV: Error analysis for second-order time discretization. (English) Zbl 0694.76014 SIAM J. Numer. Anal. 27, No. 2, 353-384 (1990). MSC: 76D05 65N15 65N30 35Q30 PDFBibTeX XMLCite \textit{J. G. Heywood} and \textit{R. Rannacher}, SIAM J. Numer. Anal. 27, No. 2, 353--384 (1990; Zbl 0694.76014) Full Text: DOI
Blum, H.; Rannacher, R. Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method. (English) Zbl 0649.65060 Numer. Math. 52, No. 5, 539-564 (1988). Reviewer: V.Korneev MSC: 65N30 65N12 74S05 35J05 PDFBibTeX XMLCite \textit{H. Blum} and \textit{R. Rannacher}, Numer. Math. 52, No. 5, 539--564 (1988; Zbl 0649.65060) Full Text: DOI EuDML
Heywood, John G.; Rannacher, Rolf Finite element approximation of the nonstationary Navier-Stokes problem. III: Smoothing property and higher order error estimates for spatial discretization. (English) Zbl 0646.76036 SIAM J. Numer. Anal. 25, No. 3, 489-512 (1988). MSC: 76D05 65N30 35Q30 PDFBibTeX XMLCite \textit{J. G. Heywood} and \textit{R. Rannacher}, SIAM J. Numer. Anal. 25, No. 3, 489--512 (1988; Zbl 0646.76036) Full Text: DOI
Rannacher, R. Richardson extrapolation with finite elements. (English) Zbl 0666.73048 Numerical techniques in continuum mechanics, Proc. 2nd GAMM-Semin., Kiel/Ger. 1986, Notes Numer. Fluid Mech. 16, 90-101 (1987). Reviewer: M.Bernadou MSC: 74S05 65N30 74K20 74S30 PDFBibTeX XML
Rannacher, R. Richardson extrapolation for a mixed finite element approximation of a plate bending problem. (English) Zbl 0666.73047 Z. Angew. Math. Mech. 67, 381-383 (1987). Reviewer: M.Bernadou MSC: 74S05 65N30 74K20 PDFBibTeX XMLCite \textit{R. Rannacher}, Z. Angew. Math. Mech. 67, 381--383 (1987; Zbl 0666.73047)
Heywood, John G.; Rannacher, Rolf Finite element approximation of the nonstationary Navier-Stokes problem. II. Stability of solutions and error estimates uniform in time. (English) Zbl 0611.76036 SIAM J. Numer. Anal. 23, 750-777 (1986). MSC: 76D05 65N30 35Q30 PDFBibTeX XMLCite \textit{J. G. Heywood} and \textit{R. Rannacher}, SIAM J. Numer. Anal. 23, 750--777 (1986; Zbl 0611.76036) Full Text: DOI
Heywood, John G.; Rannacher, Rolf An analysis of stability concepts for the Navier-Stokes equations. (English) Zbl 0598.35091 J. Reine Angew. Math. 372, 1-33 (1986). MSC: 35Q30 65N30 76E99 PDFBibTeX XMLCite \textit{J. G. Heywood} and \textit{R. Rannacher}, J. Reine Angew. Math. 372, 1--33 (1986; Zbl 0598.35091) Full Text: DOI Crelle EuDML
Blum, H.; Lin, Q.; Rannacher, R. Asymptotic error expansion and Richardson extrapolation for linear finite elements. (English) Zbl 0594.65082 Numer. Math. 49, 11-37 (1986). Reviewer: P.-L.Lions MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{H. Blum} et al., Numer. Math. 49, 11--37 (1986; Zbl 0594.65082) Full Text: DOI EuDML
Rannacher, Rolf Finite element solution of diffusion problems with irregular data. (English) Zbl 0512.65082 Numer. Math. 43, 309-327 (1984). MSC: 65N30 35K20 PDFBibTeX XMLCite \textit{R. Rannacher}, Numer. Math. 43, 309--327 (1984; Zbl 0512.65082) Full Text: DOI EuDML
Rannacher, R. Discretization of the heat equation with singular initial data. (English) Zbl 0503.65060 Z. Angew. Math. Mech. 62, T346-T348 (1982). MSC: 65N15 65N30 35K05 PDFBibTeX XMLCite \textit{R. Rannacher}, Z. Angew. Math. Mech. 62, T346--T348 (1982; Zbl 0503.65060) Full Text: DOI
Heywood, John G.; Rannacher, Rolf Finite element approximation of the nonstationary Navier-Stokes problem. I. Regularity of solutions and second-order error estimates for spatial discretization. (English) Zbl 0487.76035 SIAM J. Numer. Anal. 19, 275-311 (1982). MSC: 76D05 76M99 65N15 65N30 PDFBibTeX XMLCite \textit{J. G. Heywood} and \textit{R. Rannacher}, SIAM J. Numer. Anal. 19, 275--311 (1982; Zbl 0487.76035) Full Text: DOI
Luskin, Mitchell; Rannacher, Rolf On the smoothing property of the Galerkin method for parabolic equations. (English) Zbl 0483.65064 SIAM J. Numer. Anal. 19, 93-113 (1982). MSC: 65N30 35K20 65N15 PDFBibTeX XMLCite \textit{M. Luskin} and \textit{R. Rannacher}, SIAM J. Numer. Anal. 19, 93--113 (1982; Zbl 0483.65064) Full Text: DOI
Rannacher, R. On finite element approximation of general boundary value problems in nonlinear elasticity. (English) Zbl 0468.73091 Calcolo 17, 174-193 (1980). MSC: 74S05 74B20 74G30 74H25 49M15 46E35 65N30 PDFBibTeX XMLCite \textit{R. Rannacher}, Calcolo 17, 174--193 (1980; Zbl 0468.73091) Full Text: DOI
Dobrowolski, Manfred; Rannacher, Rolf Finite element methods for nonlinear elliptic systems of second order. (English) Zbl 0444.65077 Math. Nachr. 94, 155-172 (1980). MSC: 65N30 35J65 PDFBibTeX XMLCite \textit{M. Dobrowolski} and \textit{R. Rannacher}, Math. Nachr. 94, 155--172 (1980; Zbl 0444.65077) Full Text: DOI
Rannacher, Rolf On the finite element approximation of the nonstationary Navier-Stokes problem. (English) Zbl 0427.65076 Approximation methods for Navier-Stokes problems, Proc. Symp. IUTAM, Paderborn 1979, Lect. Notes Math. 771, 408-424 (1980). MSC: 65N30 35Q30 76D05 PDFBibTeX XML
Rannacher, Rolf On nonconforming and mixed finite element methods for plate bending problems. The linear case. (English) Zbl 0425.35042 RAIRO, Anal. Numér. 13, 369-387 (1979). MSC: 35J40 65N30 65N15 PDFBibTeX XMLCite \textit{R. Rannacher}, RAIRO, Anal. Numér. 13, 369--387 (1979; Zbl 0425.35042) Full Text: DOI EuDML
Rannacher, R. Finite element approximation of simply supported plates and the Babuska paradox. (English) Zbl 0421.73072 Z. Angew. Math. Mech. 59/01, T73-T76 (1979). MSC: 74S05 74K20 65N30 PDFBibTeX XMLCite \textit{R. Rannacher}, Z. Angew. Math. Mech. 59, T73--T76 (1979; Zbl 0421.73072) Full Text: DOI
Rannacher, Rolf Nonconforming finite element methods for eigenvalue problems in linear plate theory. (English) Zbl 0394.65035 Numer. Math. 33, 23-42 (1979). MSC: 65N30 65N25 35P15 74S05 PDFBibTeX XMLCite \textit{R. Rannacher}, Numer. Math. 33, 23--42 (1979; Zbl 0394.65035) Full Text: DOI EuDML
Frehse, Jens; Rannacher, Rolf Asymptotic \(L^\infty\)-error estimates for linear finite element approximations of quasilinear boundary value problems. (English) Zbl 0386.65049 SIAM J. Numer. Anal. 15, 418-431 (1978). MSC: 65N30 65N15 35F30 PDFBibTeX XMLCite \textit{J. Frehse} and \textit{R. Rannacher}, SIAM J. Numer. Anal. 15, 418--431 (1978; Zbl 0386.65049) Full Text: DOI
Rannacher, R. \(L^\infty\)-Fehlerabschätzung für eine nicht konforme Finite-Elemente- Methode beim Plattenproblem. (German) Zbl 0357.65083 Z. angew. Math. Mech. 57, T247-T249 (1977). MSC: 65N30 74S05 PDFBibTeX XMLCite \textit{R. Rannacher}, Z. Angew. Math. Mech. 57, T247--T249 (1977; Zbl 0357.65083) Full Text: DOI
Rannacher, Rolf Some asymptotic error estimates for finite element approximation of minimal surfaces. (English) Zbl 0356.35034 RAIRO, Anal. Numér. 11, 181-196 (1977). MSC: 35J60 35A35 65N30 65N99 PDFBibTeX XMLCite \textit{R. Rannacher}, RAIRO, Anal. Numér. 11, 181--196 (1977; Zbl 0356.35034) Full Text: DOI EuDML
Rannacher, Rolf Punktweise Konvergenz der Methode der finiten Elemente beim Plattenproblem. (German) Zbl 0383.65061 Manuscr. Math. 19, 401-416 (1976). MSC: 65N30 74K20 74S05 PDFBibTeX XMLCite \textit{R. Rannacher}, Manuscr. Math. 19, 401--416 (1976; Zbl 0383.65061) Full Text: DOI EuDML
Frehse, J.; Rannacher, R. Eine \(L^1\)-Fehlerabschätzung für diskrete Grundlösungen in der Methode der finiten Elemente. (German) Zbl 0359.65093 Bonn. Math. Schr. 89, 92-114 (1976). MSC: 65N30 PDFBibTeX XML
Rannacher, Rolf Zur \(L^\infty\)-Konvergenz linearer finiter Elemente beim Dirichlet- Problem. (German) Zbl 0321.65055 Math. Z. 149, 69-77 (1976). MSC: 65N30 65N15 35J55 65J05 PDFBibTeX XMLCite \textit{R. Rannacher}, Math. Z. 149, 69--77 (1976; Zbl 0321.65055) Full Text: DOI EuDML
Rannacher, Rolf Zur L-Konvergenz linearer finiter Elemente. (German) Zbl 0313.65099 Math. Z. (to appear). MSC: 65N30 65N15 35J55 65J05 PDFBibTeX XML