Lederer, Philip L.; Stenberg, Rolf Analysis of weakly symmetric mixed finite elements for elasticity. (English) Zbl 07782511 Math. Comput. 93, No. 346, 523-550 (2024). MSC: 65N30 74S05 74B05 74G15 65N12 65N15 35Q74 PDFBibTeX XMLCite \textit{P. L. Lederer} and \textit{R. Stenberg}, Math. Comput. 93, No. 346, 523--550 (2024; Zbl 07782511) Full Text: DOI arXiv
Lederer, Philip L.; Stenberg, Rolf Energy norm analysis of exactly symmetric mixed finite elements for linear elasticity. (English) Zbl 1506.65219 Math. Comput. 92, No. 340, 583-605 (2023). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 74S05 65N12 65N15 74B10 74G15 PDFBibTeX XMLCite \textit{P. L. Lederer} and \textit{R. Stenberg}, Math. Comput. 92, No. 340, 583--605 (2023; Zbl 1506.65219) Full Text: DOI arXiv
Bertrand, Fleurianne; Boffi, Daniele; Stenberg, Rolf Asymptotically exact a posteriori error analysis for the mixed Laplace eigenvalue problem. (English) Zbl 1436.65166 Comput. Methods Appl. Math. 20, No. 2, 215-225 (2020). MSC: 65N25 65N30 65N15 PDFBibTeX XMLCite \textit{F. Bertrand} et al., Comput. Methods Appl. Math. 20, No. 2, 215--225 (2020; Zbl 1436.65166) Full Text: DOI arXiv
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha On Nitsche’s method for elastic contact problems. (English) Zbl 1447.65143 SIAM J. Sci. Comput. 42, No. 2, B425-B446 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 65N15 74M15 74B05 35Q74 PDFBibTeX XMLCite \textit{T. Gustafsson} et al., SIAM J. Sci. Comput. 42, No. 2, B425--B446 (2020; Zbl 1447.65143) Full Text: DOI arXiv
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha A stabilised finite element method for the plate obstacle problem. (English) Zbl 1433.65295 BIT 59, No. 1, 97-124 (2019). MSC: 65N30 65K15 74S05 65N15 35Q74 74K20 PDFBibTeX XMLCite \textit{T. Gustafsson} et al., BIT 59, No. 1, 97--124 (2019; Zbl 1433.65295) Full Text: DOI arXiv
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha H. Nitsche’s method for unilateral contact problems. (English) Zbl 1428.65083 Port. Math. (N.S.) 75, No. 3-4, 189-204 (2018). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N15 35B45 74M15 35Q74 74B05 74M10 PDFBibTeX XMLCite \textit{T. Gustafsson} et al., Port. Math. (N.S.) 75, No. 3--4, 189--204 (2018; Zbl 1428.65083) Full Text: DOI arXiv
Boffi, Daniele; Stenberg, Rolf A remark on finite element schemes for nearly incompressible elasticity. (English) Zbl 1407.65282 Comput. Math. Appl. 74, No. 9, 2047-2055 (2017). MSC: 65N30 74B05 74S05 65N12 PDFBibTeX XMLCite \textit{D. Boffi} and \textit{R. Stenberg}, Comput. Math. Appl. 74, No. 9, 2047--2055 (2017; Zbl 1407.65282) Full Text: DOI
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha On finite element formulations for the obstacle problem – mixed and stabilised methods. (English) Zbl 1380.65114 Comput. Methods Appl. Math. 17, No. 3, 413-429 (2017). MSC: 65K15 49J40 49M25 PDFBibTeX XMLCite \textit{T. Gustafsson} et al., Comput. Methods Appl. Math. 17, No. 3, 413--429 (2017; Zbl 1380.65114) Full Text: DOI
Gustafsson, Tom; Stenberg, Rolf; Videman, Juha Mixed and stabilized finite element methods for the obstacle problem. (English) Zbl 1378.65135 SIAM J. Numer. Anal. 55, No. 6, 2718-2744 (2017). MSC: 65K15 49J40 49M15 PDFBibTeX XMLCite \textit{T. Gustafsson} et al., SIAM J. Numer. Anal. 55, No. 6, 2718--2744 (2017; Zbl 1378.65135) Full Text: DOI arXiv
Stenberg, Rolf; Videman, Juha On the error analysis of stabilized finite element methods for the Stokes problem. (English) Zbl 1331.76073 SIAM J. Numer. Anal. 53, No. 6, 2626-2633 (2015). MSC: 76M10 65N30 65N15 76D07 PDFBibTeX XMLCite \textit{R. Stenberg} and \textit{J. Videman}, SIAM J. Numer. Anal. 53, No. 6, 2626--2633 (2015; Zbl 1331.76073) Full Text: DOI arXiv Link
Gittelson, Claude J.; Könnö, Juho; Schwab, Christoph; Stenberg, Rolf The multi-level Monte Carlo finite element method for a stochastic Brinkman problem. (English) Zbl 1281.65010 Numer. Math. 125, No. 2, 347-386 (2013). Reviewer: Abass Sagna (Evry) MSC: 65C30 65C05 60H15 35R60 60H35 35J60 65N30 65N12 65N15 PDFBibTeX XMLCite \textit{C. J. Gittelson} et al., Numer. Math. 125, No. 2, 347--386 (2013; Zbl 1281.65010) Full Text: DOI Link
Hannukainen, Antti; Stenberg, Rolf; Vohralík, Martin A unified framework for a posteriori error estimation for the Stokes problem. (English) Zbl 1301.76049 Numer. Math. 122, No. 4, 725-769 (2012). MSC: 76M10 76M12 76D07 65N15 PDFBibTeX XMLCite \textit{A. Hannukainen} et al., Numer. Math. 122, No. 4, 725--769 (2012; Zbl 1301.76049) Full Text: DOI
Könnö, Juho; Stenberg, Rolf Numerical computations with \(H(\mathop{div})\)-finite elements for the Brinkman problem. (English) Zbl 1348.76100 Comput. Geosci. 16, No. 1, 139-158 (2012). MSC: 76M10 76S05 76D07 65N30 65N12 PDFBibTeX XMLCite \textit{J. Könnö} and \textit{R. Stenberg}, Comput. Geosci. 16, No. 1, 139--158 (2012; Zbl 1348.76100) Full Text: DOI arXiv
Könnö, Juho; Stenberg, Rolf \(H(\mathop{div})\)-conforming finite elements for the Brinkman problem. (English) Zbl 1331.76115 Math. Models Methods Appl. Sci. 21, No. 11, 2227-2248 (2011). MSC: 76S05 76D07 76M10 65N15 65N30 PDFBibTeX XMLCite \textit{J. Könnö} and \textit{R. Stenberg}, Math. Models Methods Appl. Sci. 21, No. 11, 2227--2248 (2011; Zbl 1331.76115) Full Text: DOI
Hannukainen, Antti; Juntunen, Mika; Stenberg, Rolf Computations with finite element methods for the Brinkman problem. (English) Zbl 1333.76051 Comput. Geosci. 15, No. 1, 155-166 (2011). MSC: 76M10 76D07 PDFBibTeX XMLCite \textit{A. Hannukainen} et al., Comput. Geosci. 15, No. 1, 155--166 (2011; Zbl 1333.76051) Full Text: DOI
Juntunen, Mika; Stenberg, Rolf Analysis of finite element methods for the Brinkman problem. (English) Zbl 1410.76179 Calcolo 47, No. 3, 129-147 (2010). MSC: 76M10 65N30 65N12 65N15 76D07 PDFBibTeX XMLCite \textit{M. Juntunen} and \textit{R. Stenberg}, Calcolo 47, No. 3, 129--147 (2010; Zbl 1410.76179) Full Text: DOI
Stenberg, Rolf A nonstandard mixed finite element family. (English) Zbl 1189.65285 Numer. Math. 115, No. 1, 131-139 (2010). Reviewer: Dietrich Braess (Bochum) MSC: 65N30 65N15 35J05 PDFBibTeX XMLCite \textit{R. Stenberg}, Numer. Math. 115, No. 1, 131--139 (2010; Zbl 1189.65285) Full Text: DOI
Juntunen, Mika; Stenberg, Rolf Nitsche’s method for general boundary conditions. (English) Zbl 1198.65223 Math. Comput. 78, No. 267, 1353-1374 (2009). MSC: 65N30 PDFBibTeX XMLCite \textit{M. Juntunen} and \textit{R. Stenberg}, Math. Comput. 78, No. 267, 1353--1374 (2009; Zbl 1198.65223) Full Text: DOI
Repin, S.; Stenberg, R. Two-sided a posteriori estimates for a generalized Stokes problem. (English. Russian original) Zbl 1315.35175 J. Math. Sci., New York 159, No. 4, 541-558 (2009); translation from Zap. Nauchn. Semin. POMI 362, 272-302 (2008). MSC: 35Q35 65N15 76D07 76M10 PDFBibTeX XMLCite \textit{S. Repin} and \textit{R. Stenberg}, J. Math. Sci., New York 159, No. 4, 541--558 (2009; Zbl 1315.35175); translation from Zap. Nauchn. Semin. POMI 362, 272--302 (2008) Full Text: DOI
Lovadina, Carlo; Lyly, Mikko; Stenberg, Rolf A posteriori estimates for the Stokes eigenvalue problem. (English) Zbl 1169.65109 Numer. Methods Partial Differ. Equations 25, No. 1, 244-257 (2009). Reviewer: Alan L. Andrew (Bundoora) MSC: 65N25 65N15 65N30 35P15 PDFBibTeX XMLCite \textit{C. Lovadina} et al., Numer. Methods Partial Differ. Equations 25, No. 1, 244--257 (2009; Zbl 1169.65109) Full Text: DOI
Rüter, Marcus; Stenberg, Rolf Error-controlled adaptive mixed finite element methods for second-order elliptic equations. (English) Zbl 1168.65416 Comput. Mech. 42, No. 3, 447-456 (2008). MSC: 65N30 65N15 PDFBibTeX XMLCite \textit{M. Rüter} and \textit{R. Stenberg}, Comput. Mech. 42, No. 3, 447--456 (2008; Zbl 1168.65416) Full Text: DOI
Beirão da Veiga, L.; Chinosi, C.; Lovadina, C.; Stenberg, R. A priori and a posteriori error analysis for a family of Reissner-Mindlin plate elements. (English) Zbl 1143.74050 BIT 48, No. 2, 189-213 (2008). MSC: 74S05 74K20 65N15 65N30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., BIT 48, No. 2, 189--213 (2008; Zbl 1143.74050) Full Text: DOI
Repin, S.; Stenberg, R. A posteriori error estimates for the generalized Stokes problem. (English. Russian original) Zbl 1202.65150 J. Math. Sci., New York 142, No. 1, 1828-1843 (2007); translation from Probl. Mat. Anal. 34, 89-101 (2006). MSC: 65N15 35Q35 76D07 76M10 PDFBibTeX XMLCite \textit{S. Repin} and \textit{R. Stenberg}, J. Math. Sci., New York 142, No. 1, 1828--1843 (2007; Zbl 1202.65150); translation from Probl. Mat. Anal. 34, 89--101 (2006) Full Text: DOI
Lyly, Mikko; Niiranen, Jarkko; Stenberg, Rolf Superconvergence and postprocessing of MITC plate elements. (English) Zbl 1173.74434 Comput. Methods Appl. Mech. Eng. 196, No. 33-34, 3110-3126 (2007). MSC: 74S05 74K20 65N12 65N30 PDFBibTeX XMLCite \textit{M. Lyly} et al., Comput. Methods Appl. Mech. Eng. 196, No. 33--34, 3110--3126 (2007; Zbl 1173.74434) Full Text: DOI
Beirão da Veiga, L.; Niiranen, J.; Stenberg, R. A posteriori error estimates for the Morley plate bending element. (English) Zbl 1110.74050 Numer. Math. 106, No. 2, 165-179 (2007). MSC: 74S05 74K20 65N15 65N30 PDFBibTeX XMLCite \textit{L. Beirão da Veiga} et al., Numer. Math. 106, No. 2, 165--179 (2007; Zbl 1110.74050) Full Text: DOI
Lovadina, Carlo; Stenberg, Rolf Energy norm a posteriori error estimates for mixed finite element methods. (English) Zbl 1119.65110 Math. Comput. 75, No. 256, 1659-1674 (2006). Reviewer: Michel Bernadou (Paris La Defense) MSC: 65N15 65N30 35J25 PDFBibTeX XMLCite \textit{C. Lovadina} and \textit{R. Stenberg}, Math. Comput. 75, No. 256, 1659--1674 (2006; Zbl 1119.65110) Full Text: DOI
Lyly, Mikko; Niiranen, Jarkko; Stenberg, Rolf A refined error analysis of MITC plate elements. (English) Zbl 1094.74055 Math. Models Methods Appl. Sci. 16, No. 7, 967-977 (2006). MSC: 74S05 74K20 65N15 PDFBibTeX XMLCite \textit{M. Lyly} et al., Math. Models Methods Appl. Sci. 16, No. 7, 967--977 (2006; Zbl 1094.74055) Full Text: DOI
Bonvin, J.; Picasso, M.; Stenberg, R. GLS and EVSS methods for a three-field Stokes problem arising from viscoelastic flows. (English) Zbl 1014.76043 Comput. Methods Appl. Mech. Eng. 190, No. 29-30, 3893-3914 (2001). MSC: 76M10 76D07 76A10 PDFBibTeX XMLCite \textit{J. Bonvin} et al., Comput. Methods Appl. Mech. Eng. 190, No. 29--30, 3893--3914 (2001; Zbl 1014.76043) Full Text: DOI
Stenberg, Rolf On some techniques for approximating boundary conditions in the finite element method. (English) Zbl 0856.65130 J. Comput. Appl. Math. 63, No. 1-3, 139-148 (1995). Reviewer: P.Chocholatý (Bratislava) MSC: 65N30 35J25 65N12 PDFBibTeX XMLCite \textit{R. Stenberg}, J. Comput. Appl. Math. 63, No. 1--3, 139--148 (1995; Zbl 0856.65130) Full Text: DOI
Kouhia, Reijo; Stenberg, Rolf A linear nonconforming finite element method for nearly incompressible elasticity and Stokes flow. (English) Zbl 1067.74578 Comput. Methods Appl. Mech. Eng. 124, No. 3, 195-212 (1995). MSC: 74S05 76M10 PDFBibTeX XMLCite \textit{R. Kouhia} and \textit{R. Stenberg}, Comput. Methods Appl. Mech. Eng. 124, No. 3, 195--212 (1995; Zbl 1067.74578) Full Text: DOI
Lyly, Mikko; Stenberg, Rolf; Vihinen, Teemu A stable bilinear element for the Reissner-Mindlin plate model. (English) Zbl 0846.73065 Comput. Methods Appl. Mech. Eng. 110, No. 3-4, 343-357 (1993). MSC: 74S05 74K20 PDFBibTeX XMLCite \textit{M. Lyly} et al., Comput. Methods Appl. Mech. Eng. 110, No. 3--4, 343--357 (1993; Zbl 0846.73065) Full Text: DOI
Stenberg, Rolf Postprocessing schemes for some mixed finite elements. (English) Zbl 0717.65081 RAIRO, Modélisation Math. Anal. Numér. 25, No. 1, 151-167 (1991). Reviewer: P.K.Mahanti MSC: 65N30 35J05 35J40 31A30 PDFBibTeX XMLCite \textit{R. Stenberg}, RAIRO, Modélisation Math. Anal. Numér. 25, No. 1, 151--167 (1991; Zbl 0717.65081) Full Text: DOI EuDML
Stenberg, Rolf Some new families of finite elements for the Stokes equations. (English) Zbl 0708.76088 Numer. Math. 56, No. 8, 827-838 (1990). MSC: 76M10 76D07 65N30 PDFBibTeX XMLCite \textit{R. Stenberg}, Numer. Math. 56, No. 8, 827--838 (1990; Zbl 0708.76088) Full Text: DOI EuDML
Stenberg, Rolf Error analysis of some finite element methods for the Stokes problem. (English) Zbl 0702.65095 Math. Comput. 54, No. 190, 495-508 (1990). Reviewer: H.K.Verma MSC: 65Z05 65N30 65N15 76D05 35Q30 PDFBibTeX XMLCite \textit{R. Stenberg}, Math. Comput. 54, No. 190, 495--508 (1990; Zbl 0702.65095) Full Text: DOI
Stenberg, Rolf A family of mixed finite elements for the elasticity problem. (English) Zbl 0632.73063 Numer. Math. 53, No. 5, 513-538 (1988). MSC: 74S05 65N30 65K10 PDFBibTeX XMLCite \textit{R. Stenberg}, Numer. Math. 53, No. 5, 513--538 (1988; Zbl 0632.73063) Full Text: DOI EuDML
Stenberg, Rolf On some three-dimensional finite elements for incompressible media. (English) Zbl 0684.73036 Comput. Methods Appl. Mech. Eng. 63, 261-269 (1987). Reviewer: V.K.Arya MSC: 74S05 76M99 76D99 65N30 PDFBibTeX XMLCite \textit{R. Stenberg}, Comput. Methods Appl. Mech. Eng. 63, 261--269 (1987; Zbl 0684.73036) Full Text: DOI
Stenberg, Rolf On the construction of optimal mixed finite element methods for the linear elasticity problem. (English) Zbl 0563.65072 Numer. Math. 48, 447-462 (1986). MSC: 65N30 74S05 74B10 35J25 PDFBibTeX XMLCite \textit{R. Stenberg}, Numer. Math. 48, 447--462 (1986; Zbl 0563.65072) Full Text: DOI EuDML