Department of Mathematics and Systems Analysis


Research reports by Antti Hannukainen

Here are the reports authored by Antti Hannukainen. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

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
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
Antti Hannukainen, Sergey Korotov, Michal Krizek
On a bisection algorithm that produces conforming locally refined simplicial meshes   [pdf][ps]
Received 2009-04-09 * bisection algorithm, simplicial elements, conforming finite element method, local refinements, nested meshes * AMS 65N50, 65M50 * 11 pages
Antti Hannukainen, Sergey Korotov, Michal Krizek
On nodal superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations   [pdf][ps]
Received 2008-12-02 * higher order error estimates, tetrahedral and prismatic elements, superconvergence, averaging operators * AMS 65N30 * 13 pages
Antti Hannukainen, Sergey Korotov, Tomás Vejchodský
On weakening conditions for discrete maximum principles for linear finite element schemes   [pdf][ps]
Received 2008-08-26 * elliptic equations, maximum principles, finite element method, discrete maximum principle, monotone matrix, matrix irreducibility * AMS 65N30, 65N50 * 9 pages
Dmitri Kuzmin, Antti Hannukainen, Sergey Korotov
A new a posteriori error estimate for convection-reaction-diffusion problems   [pdf][ps] abstract: [pdf][ps]
Received 2007-05-23 * convection-reaction-diffusion, a posteriori error estimation, adaptivity * AMS 65N15, 65N50, 76M30 * 12 pages
Antti Hannukainen, Sergey Korotov, Marcus Ruter
A posteriori error estimates for some problems in linear elasticity   [pdf][ps] abstract: [pdf][ps]
Received 2007-03-27 * a posteriori error estimation, local errors, superconvergence, finite element method, linear elasticity, fracture mechanics * AMS 65N15, 65N30, 65N50 * 14 pages
Antti Hannukainen, Sergey Korotov
Computational technologies for reliable control of global and local errors for linear elliptic type boundary value problems   [pdf][ps] abstract: [pdf][ps]
Received 2006-02-16 * a posteriori error estimation, error control in energy norm, error control in terms of linear functionals, differential equation of elliptic type, mixed boundary conditions, gradient averaging * AMS 65N15, 65N30 * 23 pages

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