LIST OF PUBLICATIONS

Rolf Stenberg

Institute of Mathematics
Helsinki University of Technology
rolf.stenberg@hut.fi

Journal papers

J. Pitkäranta, R. Stenberg. Analysis of some mixed finite element methods for plane elasticity equations. Mathematics of Computation 41 (1983) 399-423 (Available from JSTOR)

Analysis of mixed finite element methods for the Stokes problem: A unified approach. Mathematics of Computation 42 (1984) 9-23 (Available from JSTOR)

On the construction of optimal mixed finite element methods for the linear elasticity problem. Numerische Mathematik 48 (1986) 447-462 (Available from GDZ)

On some three-dimensional finite elements for incompressible media. Computer Methods in Applied Mechanics and Engineering 63 (1987) 261-269 

A family of mixed finite elements for the elasticity problem. Numerische Mathematik 53 (1988) 513-538 (Available from GDZ)

L.P. Franca, R. Stenberg. Finite element approximation of a new variational principle for compressible and incompressible linear elasticity. Applied Mechanics Review 42, No. 11 (1989) S64-S68 

Some new families of finite element methods for Stokes equations. Numerische Mathematik 56 (1990) 827-838 (Available from GDZ)

Error analysis of some finite element methods for Stokes problem. Mathematics of Computation 54 (1990) 495-508 (Available from JSTOR)

A technique for analyzing finite element methods for incompressible viscous flow. International Journal for Numerical Methods in Fluids 11 (1990) 935-948 

Postprocessing schemes for some mixed finite elements. Mathematical Modelling and Numerical Analysis 25 (1991) 151-168  .pdf

L.P. Franca, R. Stenberg. Error analysis of some Galerkin least-squares methods for the elasticity equations. SIAM Journal of Numerical Analysis 28 (1991) 1680-1697 (Available from JSTOR)

F. Brezzi, M. Fortin, R. Stenberg. Error analysis of mixed-interpolated elements for Reissner-Mindlin plates. Mathematical Models and Methods in Applied Sciences 1 (1991) 125-151  .pdf

L.P. Franca, J.K. Filho, A.F.D. Loula, R. Stenberg. A convergence analysis of a stabilized Galerkin method for Stokes flow. Matematica Aplicada e Computacional 10 (1991) 19-26  

M. Lyly, R. Stenberg, T. Vihinen. A stable bilinear element for the Reissner-Mindlin plate model. Computer Methods in Applied Mechanics and Engineering 110 (1993) 343-359  .pdf

M. Lyly, R. Stenberg. New three and four noded thick plate bending elements. Rakenteiden Mekaniikka 27, No. 2 (1994) 3-29  .pdf

R. Kouhia, R. Stenberg. A linear nonconforming finite element method for nearly incompressible elasticity and Stokes flow. Computer Methods in Applied Mechanics and Engineering 124 (1995) 195-212  .pdf

On some techniques for approximating boundary conditions in the finite element method. Journal of Computational and Applied Mathematics 63 (1995) 139-148 .pdf (constains a typo. Equation (3.37) should be as in the preprint  .ps)

R. Stenberg, M. Suri. Mixed hp finite element methods for problems in elasticity and Stokes flow. Numerische Mathematik 72 (1996) 367-389 .ps

R. Stenberg, M. Suri. An hp error analysis of MITC plate elements. SIAM Journal of Numerical Analysis 34 (1997) 544-568 .ps

D. Chapelle, R. Stenberg. Stabilized finite element formulations for shells in a bending dominated state of deformation. SIAM Journal of Numerical Analysis 36 (1998) 32-73 .ps

D. Chapelle, R. Stenberg. An optimal low-order locking free finite element method for Reissner-Mindlin plates. Mathematical Models and Methods in Applied Sciences 8 (1998) 407-430 .ps

C. Schwab, D. Schötzau, R. Stenberg. Mixed hp-FEM on anisotropic meshes II: Hanging nodes and tensor products of boundary layer meshes. Numerische Mathematik 83 (1999) 667-697 .pdf

J. Bonvin, M. Picasso, R. Stenberg. GLS and EVSS methods for a three fields Stokes problem arising from viscoelastic flows. Computer Methods in Applied Mechanics and Engineering 190 (2001) 3893-3914 .pdf

R. Becker P. Hansbo,  R. Stenberg. A finite element method for domain decomposition with non-matching grids. Mathematical Modelling and Numerical Analysis 37 (2003) 209-225 .pdf

C. Lovadina, R. Stenberg. A posteriori error analysis of the linked interpolation technique for plate bending problems. SIAM Journal of Numerical Analysis 43 (2005) 2227-2249 .pdf

C. Lovadina, R. Stenberg. Energy norm a posteriori error estimates for mixed finite element methods. Mathematics of Computation. S 0025-5718(06)01872-2. Electronically published on June 26, 2006 .pdf

M. Lyly, J. Niiranen, R. Stenberg. A refined error analysis of MITC plate elements. Mathematical Models and Methods in Applied Sciences  16, No. 7 (2006) 967–977 .pdf

Full lenght papers in proceedings and books

A numerical method for analyzing radiative and conductive heat transfer. Numerical Methods in Heat Transfer vol. II. Proceedings of the Second International Conference 1981. R. Lewis et al., Eds. Pineridge Press. Swansea, U.K. 1981. 654-662

Analysis of transient radiative and conductive heat transfer. Numerical Methods in Heat Transfer vol. III. Proceedings of the Third International Conference 1983. R. Lewis et al., Eds. Pineridge Press. Swansea, U.K. 1983. 826-836

J. Pitkäranta, R. Stenberg. Error bounds for the approximation of the Stokes problem using bilinear/constant elements on irregular quadrilateral meshes. The Mathematics of Finite Elements and Applications V. MAFELAP 1984. J.R. Whiteman, Ed. Academic Press 1985. 325-334. Also as REPORT HTKK-MAT-A222. Helsinki University of Technology. Institute of Mathematics 1984 .pdf 

Two low-order mixed methods for the elasticity problem. The Mathematics of Finite Elements and Applications VI. MAFELAP 1987. J.R. Whiteman, Ed. Academic Press 1988. 271-280  .pdf

R. Stenberg, P. Trouvé. A mixed finite element method for the magnetic field. Proceedings of the Vth International Symposium on Numerical Methods in Engineering. Lausanne, September 11-15, 1989. 137-141.

J. Paavola, R. Stenberg. Analytical/numerical model for heat transfer in fire-protected steel structures. III International Symposium on Fire Protection of Building. 10-12 May 1990, Eger, Hungary. T. Bánky and B. Dunai Kovács, Eds. Gépipari Tudományos Egysület 1990. 35-44.

L.P. Franca, R. Stenberg. A modification of a low-order Reissner-Mindlin plate bending element. The Mathematics of Finite Elements and Applications VII. MAFELAP 1990. J.R. Whiteman, Ed. Academic Press 1991. pp. 425-436 .pdf 

A new finite element formulation for the plate bending problem. Asymtotic Methods for Elastic Structures. Proceedings of the International Conference, held in Lisbon, Portugal, October 4-8, 1993. P.G. Ciarlet, L. Trabucho and J.M. Viaño, Eds. Walter de Gruyter & Co. 1995, pp. 209-221 .ps

M. Lyly, R. Stenberg. Stabilized MITC plate bending elements. Advances in Finite Element Techniques. M. Papadrakakis and B.H.V. Topping, Eds. Civil Comp Press, Edinburgh, Scottland, 1994. pp. 11-16 .ps

J. Freund, R. Stenberg. On weakly imposed boundary conditions for second order problems. Proceedings of the Ninth Int. Conf. Finite Elements in Fluids, Venice 1995. M. Morandi Cecchi et al., Eds. pp. 327-336 .pdf

Mortaring by a method of J.A. Nitsche. COMPUTATIONAL MECHANICS, New Trends and Applications. S Idelsohn, E. Onate and E. Dvorkin (Eds.), @CIMNE, Barcelona, Spain 1998. ISBN: 84-89925-15-1. .pdf

M. Lyly, R. Stenberg. The stabilized MITC plate bending elements. COMPUTATIONAL MECHANICS, New Trends and Applications. S Idelsohn, E. Onate and E. Dvorkin (Eds.), @CIMNE, Barcelona, Spain 1998. ISBN: 84-89925-15-1. .pdf

P. Kaps, M. Mössner, W. Nachbauer, R. Stenberg. Pressure distribution under an edged ski. Science and Skiing II. Proceedings of the 2nd International Conference on Science and Skiing. St. Christoph, 2000. E. Müller & al. (Eds.), Verlag Dr. Kovac, Hamburg 2001. pp. 180-202

R. Kouhia, R. Stenberg. A simple linear nonconforming shell element. IASS­IACM 2000 Fourth International Colloquium on Computation of Shell & Spatial Structures. June 4-7, 2000 Chania - Crete, Greece 10 pp. .ps

Surveys

Some problems in connection with the finite element solution of Navier-Stokes equations. Proceedings of the Conference on Numerical Simulation Models. J. Hallikas, M.L. Kanervirta and P. Neittaanmäki, Eds. Technical Research Centre of Finland, Espoo 1987. 193-212

L.P. Franca, T.J.R. Hughes, R. Stenberg. Stabilized finite element methods. Chapter 4 in Incompressible Computational Fluid Dynamics. M. Gunzburger and R.A. Nicolaides, Eds. Cambridge University Press 1993. pp. 87-107 .pdf

D. Chapelle, R. Stenberg. A locking-free mixed stabilized finite element method for bending-dominated shells. Centre de Recherche Mathématiques. CRM Proceedings and Leture Notes 21 (1999) 81-94

M. Lyly, R. Stenberg. A survey of stabilized plate elements. Mathematical Modeling nd Numerical Simulation in Continuum Mechanics. I. Babuska, P.G. Ciarlet and T. Miyoshi (Eds.). Lecture Notes in Computational Science and Engineering  Springer 2002. pp. 11-21.

Reports

Analysis of the convergence of mixed finite element methods. REPORT HTKK-MAT-A224. Helsinki University of Technology. Institute of Mathematics 1984

E. Boillat, R. Stenberg. Analysis of a stabilized hp finite element method for nearly incompressible elasticity and Stokes flow. Helsinki University of Technology, Laboratory for Strength of Materials. Research Report No. 21. May 1994 .ps

M. Lyly, R. Stenberg. Theory manual of the stabilized MITC plate and flat shell elements of SHIPFEM. Technical Research Centre of Finland. Technical Report VTT VAL B 81. 1995.

M. Lyly, R. Stenberg. Some NAFEMS benchmarks applied to the stabilized MITC plate and flat shell elements. Technical Research Centre of Finland. Technical Report VTT VAL B 82. 1995.

M. Lyly, R. Stenberg. Stabilized finite elements for Reissner-Mindlin plates. Universität Innsbruck, Institut für Mathematik und Geometrie. Forschungsbericht 4-1999 .ps

Announcements and summaries in proceedings

On some mixed finite element methods for the Stokes problem in R3. Proceedings of the International Conference on Computational Mechanics. Tokyo, May 25-29, 1986. S.N. Atluri, G. Yagawa, Eds. Springer-Verlag. Tokyo 1986. VII-115 - VII-119

On the postprocessing of mixed equilibrium finite element methods. Numerical Techniques in Continuum Mechanics. Proceedings of the Second GAMM-Seminar. Kiel, January 17 to 19, 1986. W. Hackbusch, K. Witsch, Eds. Vieweg Verlag 1986. 102-109

R. Stenberg, J. Videman. A quadrilateral mixed finite element method for the elasticity problem. Proceedings of the 3rd Finnish Mechanics Days. M. Ranta, Ed. Helsinki University of Technology, Espoo 1988. 391-395

Analysis of some mixed finite elements for Stokes flow. Proceedings of the 7th International Conference on Numerical Methods in Flow Problems. T.J. Chung and G.R. Kerr, Eds. The University of Alabama at Huntsville Press. Alabama 1989. 1046-1051.

L.P. Franca, T.J.R. Hughes, R. Stenberg. Finite element approximations of the Stokes flow problem based upon various variational principles. Numerical Methods in Laminar and Turbulent Flow, Vol. 6, Part 1. Proceedings of the 6th International Conference held at Swansea 1989. C. Taylor et al., Eds. Pineridge Press. Swansea, U.K. 1989. 85-96

L.P. Franca, S.L. Frey, R. Sampaio, R. Stenberg. Numerical experiments for the Stokes flow employing Galerkin and Galerkin-least-squares methods. The Second World Conference on Computational Mechanics. August 27-31, 1990, Stuttgart, BRD. Extended Abstracts. 248-251

L.P. Franca, R. Stenberg. An optimal linear element for Reissner-Mindlin plates. The Second World Conference on Computational Mechanics. August 27-31, 1990, Stuttgart, BRD. Extended Abstracts. 429-432

R. Stenberg, T. Vihinen. Calculations with some linear elements for Reissner-Mindlin plates. Proceedings of the European Conference on New Advances in Computational Structural Mechanics. Giens, France. April 2-5, 1991. P. Ladeveze, O.C. Zienkiewicz, Eds. pp. 505-511

L.P. Franca, R. Stenberg, T. Vihinen. A nonconforming linear element for Reissner-Mindlin plates. The Proceedings of the 13th IMACS World Congress on Computational and Applied Mathematics. Vol. 4. July 22-26, 1991. Trinity College, Dublin, Ireland. R. Vichnevetsky, J.J.H. Miller, Eds. pp. 1907-1908

R. Stenberg, T. Vihinen. On some bilinear elements for Reissner-Mindlin plates. Proceedings of the 10th International Conference on Computing Methods in Applied Science and Engineering. Paris. February 11-14, 1992. R. Glowinski, Ed. Nova Science Publishers, New York. pp. 175-184

R. Stenberg, D. Baroudi. A new nonconforming finite element method for incompressible elasticity. Numerical Methods in Engineering ‘92. Proceedings of the First European Conference on Numerical Methods in Engineering. Brussels, September 7-11, 1992. Ch. Hirsch, O.C. Zienkiewicz and E. Oñate, Eds. Elsevier 1992. pp. 729-732

A stable finite element formulation for Reissner-Mindlin plates. Numerical Methods in Engineering ‘92. Proceedings of the First European Conference on Numerical Methods in Engineering. Brussels, September 7-11, 1992. Ch. Hirsch, O.C. Zienkiewicz and E. Oñate, Eds. Elsevier 1992. pp. 579-582

R. Stenberg, M. Suri. Mixed hp finite elements for plates. Advances in Finite Element Techniques. M. Papadrakakis and B.H.V. Topping, Eds. Civil Comp Press, Edinburgh, Scottland, 1994. pp. 21-24

M. Lyly, R. Stenberg. A stable finite element formulation for the Reissner-Mindlin plate bending model. The Finite Element Method: Fifty Years of the Courant Element. Proceedings of the International Conference held in Jyväskylä, August 31 - September 4, 1993. M. Krizek, P. Neittaanmäki and R. Stenberg, Eds. Marcel Dekker 1994. pp. 277-283

D. Chapelle, M. Lyly, R. Stenberg. Stabilized finite element methods for plates and shells. Shells. Mathematical Modelling and Scientific Computing. Proceedings of the International Conference on Shells, July 14-18, 1997. Universidade de Santiago de Compostela. M. Bernadou, P.G. Ciarlet and J.M. Viano, Eds. pp. 159-161

R. Stenberg, M. Lyly. Stabilized finite element methods for Reissner-Mindlin plates. Proceedings of the 13th Nordic Seminar on Computational mechanics, Oslo, 20-21 October, 2000. Matematisk Institutt, Universitete i Oslo, Mechanics and Applied Mathematcs Series, No. 7,Oct. 2000. J. Hellesland et. al. Eds.

M. Lyly, J. Niiranen, R.Stenberg. Computational results for the superconvergence and postprocessing of MITC plate elements. Proceedings of the 18 Nordic Seminar on Computational Mechanics. J. Paavola, J. Freund, Eds.  pp. 75-7

M. Juntunen,  R. Stenberg. A finite element method for general boundary conditions. Proceedings of the 18 Nordic Seminar on Computational Mechanics. J. Paavola, J. Freund, Eds.  pp. 113-116

L. Beirão da Veiga, J. Niiranen, R. Stenberg. A family of $C^0$ finite elements for Kirchhoff plates with free boundary conditions. To appear in the ENUMATH 2005 Proceedings. 8 pp.

M. Lyly, Jarkko Niiranen, R. Stenberg. A postprocessing method for the MITC plate elements. To appear in the ENUMATH 2005 Proceedings. 8 pp.

M. Lyly, J. Niiranen, R.  Stenberg Some new results on MITC plate elements. III European Conference on Computational Mechanics Solids, Structures and Coupled Problems in Engineering C.A. Mota Soares et.al. (eds.). Lisbon, Portugal, 5–8 June 2006. Springer-Verlag. 14 pp.

C. Lovadina, and R. Stenberg. An error estimator for the Reissner-Mindlin plate problem. III European Conference on Computational Mechanics Solids, Structures and Coupled Problems in Engineering C.A. Mota Soares et.al. (eds.). Lisbon, Portugal, 5–8 June 2006. Springer-Verlag. 9 pp.

Beirão da Veiga, J. Niiranen, R.  Stenberg. A new finite element method for Kirchhoff plates. III European Conference on Computational Mechanics Solids, Structures and Coupled Problems in Engineering C.A. Mota Soares et.al. (eds.). Lisbon, Portugal, 5–8 June 2006. Springer-Verlag. 15 pp.

C. Lovadina, M. Rüter, R. Stenberg. Error-controlled adaptive mixed finite element methods for second-order elliptic equations. Proceedings of the IX Finnish Mechanics Days. R. von Hertzen and T. Hale (eds.). Lappeenranta 13-14 June 2006. 434-441

Edited books

M. Krizek, P. Neittaanmäki, R. Stenberg. The Finite Element Method. Fifty Years of the Courant Element. Proceeding of the International Conference held in Jyväskylä, August 31 - September 4, 1993. Marcel Dekker 1994. 504 pp. 

M. Krizek, P. Neittaanmäki, R. Stenberg. The Finite Element Method. Superconvergence, Post-processing and A Posteriori Estimates. Proceeding of the International Conference held in Jyväskylä July 1-4, 1996. Marcel Dekker 1997. 368 pp. 

In finnish

M. Juntunen, R. Stenberg. Epäjatkuva Galerkinin menetelmä sekaelementtitehtävälle. IX Suomen Mekaniikkapäivät. R. von Hertzen ja T. Hale (toim.). Lappeenranta 13-14 kesäkuuta 2006. 464-475