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Research reports by Rolf Stenberg

Here are the reports authored by Rolf Stenberg. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Reports C

C19
Timo Eirola, Juho Könnö, Toni Lassila, Antti H. Niemi, Rolf Stenberg (editors)
Perspectives in numerical analysis, TKK, May 27–29, 2008   [pdf][ps]
Received 2008-05-23 * numerical analysis, conference abstracts * AMS 65-06 * 50 pages

Helsinki University of Technology Institute of Mathematics Research Reports A

A595
Juho Könnö, Rolf Stenberg
Numerical computations with H(div)-finite elements for the Brinkman problem   [pdf][ps]
Received 2010-11-25 * Brinkman equation, H(div) conforming, SIPG, Nitsche, a posteriori, computations * AMS 65N30 * 21 pages
A587
Antti Hannukainen, Rolf Stenberg, Martin Vohralík
A unified framework for a posteriori error estimation for the Stokes problem   [pdf][ps]
Received 2010-05-14 * Stokes problem, a posteriori error estimate, guaranteed upper bound, unified framework, conforming finite element method, discontinuous Galerkin method, nonconforming finite element method, mixed finite element method, finite volume method * AMS 65N15, 76M12, 76S05 * 32 pages
A582
Juho Könnö, Rolf Stenberg
Analysis of H(div)-conforming finite elements for the Brinkman problem   [pdf][ps]
Received 2010-01-02 * Brinkman equations, Nitsche's method, mixed finite element methods, a posteriori * AMS 65N30 * 19 pages
A580
Juho Könnö, Dominik Schötzau, Rolf Stenberg
Mixed finite element methods for problems with Robin boundary conditions   [pdf][ps]
Received 2009-11-21 * mixed finite element methods, Robin boundary conditions, postprocessing, a posteriori analysis * AMS 65N30 * 19 pages
A569
Antti Hannukainen, Mika Juntunen, Rolf Stenberg
Computations with finite element methods for the Brinkman problem   [pdf][ps]
Received 2009-04-14 * Brinkman equation, Stokes equation, Darcy equation, MINI, Taylor-Hood, stabilized methods, a posteriori, adaptive * AMS 65N30 * 19 pages
A566
Mika Juntunen, Rolf Stenberg
A residual based a posteriori estimator for the reaction-diffusion problem   [pdf][ps]
Received 2009-02-24 * reaction-diffusion, a posteriori, singularly perturbed * AMS 65N30 * 7 pages
A557
Mika Juntunen, Rolf Stenberg
Analysis of finite element methods for the Brinkman problem   [pdf][ps]
Received 2009-04-14 * Brinkman equation, Stokes equation, Darcy equation, Nitsche's method, mixed finite element methods, stabilized methods * AMS 65N30 * 19 pages
A556
Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg
A posteriori error analysis for the Morley plate element with general boundary conditions   [pdf][ps]
Received 2008-12-15 * nonconforming finite elements, a posteriori error analysis, Morley plate element, Kirchhoff plate model, boundary conditions * AMS 65N30, 74S05, 74K20 * 31 pages
A555
Juho Könnö, Rolf Stenberg
Finite element analysis of composite plates with an application to the paper cockling problem   [pdf][ps]
Received 2008-12-12 * Composite plates, MITC, finite element analysis, cockling, paper manufacturing * AMS 65N30, 74S05, 74K20 * 18 pages
A553
Rolf Stenberg
A nonstandard mixed finite element family   [pdf][ps]
Received 2008-09-01 * mixed finite element methods, macroelement technique,postprocessing, a posteriori estimates * AMS 65N30 * 9 pages
A531
Mika Juntunen, Rolf Stenberg
An unconditionally stable mixed discontinuous Galerkin method   [pdf][ps] abstract: [pdf][ps]
Received 2007-11-28 * Mixed method, discontinuous Galerkin method, stability, Nitsche's method * AMS 65N30, 65N55 * 20 pages
A530
Mika Juntunen, Rolf Stenberg
Nitsches method for general boundary conditions   [pdf][ps] abstract: [pdf][ps]
Received 2007-10-17 * Robin boundary conditions, stabilization, Nitsches method * AMS 65N30 * 26 pages
A526
Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg
A family of C^0 finite elements for Kirchhoff plates II: Numerical results   [pdf][ps] abstract: [pdf][ps]
Received 2007-05-25 * finite elements, Kirchhoff plate model, free boundary, a-priori error tests, a-posteriori error tests, adaptivity * AMS 65N30, 74S05, 74K20 * 29 pages
A516
Sergey Repin, Rolf Stenberg
Two-sided a posteriori estimates for the generalized stokes problem   [pdf][ps] abstract: [pdf][ps]
Received 2006-12-19 * generalized stoke's problem, a posteriori error estimates of the functional type, incompressible viscous fluids * AMS 65N30 * 32 pages
A512
Joachim Schöberl, Rolf Stenberg
Multigrid methods for a stabilized Reissner-Mindlin plate formulation   [pdf][ps] abstract: [pdf][ps]
Received 2006-10-16 * Reissner-Mindlin plate, stabilized finite element method, multigrid method * AMS 65N30, 65N55, 74S05 * 19 pages
A511
Carlo Lovadina, Mikko Lyly, Rolf Stenberg
A posteriori estimates for the Stokes eigenvalue problem   [pdf][ps]
Received 2007-02-08 * Stokes eigenvalue problem, a-posteriori error estimate, adaptive computations * AMS 65N30, 34L15 * 17 pages
A492
Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg
A posteriori error estimates for the plate bending Morley element   [pdf][ps] abstract: [pdf][ps]
Received 2006-02-01 * nonconforming finite elements, a posteriori error analysis, Morley plate element, Kirchhoff plate model, biharmonic problem * AMS 65N30, 74S05, 74K20 * 15 pages * Errata appended to the document on Oct 12, 2006.
A483
Lourenço Beirão da Veiga, Jarkko Niiranen, Rolf Stenberg
A family of C^0 finite elements for Kirchhoff plates   [pdf][ps] abstract: [pdf][ps]
Received 2006-01-10 * finite elements, Kirchhoff plate model, free boundary, a-priori error analysis, a-posteriori error analysis * AMS 65N30, 74S05, 74K20 * 30 pages
A482
Mikko Lyly, Jarkko Niiranen, Rolf Stenberg
A refined error analysis of MITC plate elements   [pdf][ps] abstract: [pdf][ps]
Received 2005-04-13 / Revised 2005-04-18 * Reissner--Mindlin plates, MITC finite element methods, error analysis * AMS 65N30, 74S05, 74K20 * 12 pages
A474
Mikko Lyly, Jarkko Niiranen, Rolf Stenberg
Superconvergence and postprocessing of MITC plate elements   [pdf][ps] abstract: [pdf]
Received 2005-01-20 / Revised 2005-02-12 * Reissner--Mindlin plates, MITC finite element methods, superconvergence, postprocessing * AMS 65N30, 74S05, 74K20 * 29 pages
A473
Carlo Lovadina, Rolf Stenberg
Energy norm a posteriori error estimates for mixed finite element methods   [pdf][ps] abstract: [pdf][ps]
Received 2004-10-21 * mixed finite element methods, a-posteriori error estimates,post-processing * AMS 65N30 * 13 pages
A472
Carlo Lovadina, Rolf Stenberg
A posteriori error analysis of the linked interpolation technique for plate bending problems   [pdf][ps] abstract: [pdf][ps]
Received 2004-09-17 * Reissner-Mindlin plates, finite element methods, a posteriori error analysis. * AMS Primary 65N30; Secondary 74S05 * 20 pages

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