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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

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

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

A567

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

A561

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

A549

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

A524

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

A522

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

A494

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