From Wiki

Dr. Antti Hannukainen

Visiting 1.2.2012-31.1.2014 from Aalto University, Department of Mathematics and Systems analysis, Finland Address Institute for Analysis and Scientific Computing Wiedner Hauptstrasse 8-10 1040 Wien, Austria Email: Antti Hannukainen

Recent talks & submitted papers

1. Talk at Chemnitz Finite Element Symposia 2012 pdf
2. A. Hannukainen, Field of values analysis of Laplace preconditioners for the Helmholtz equation, Submitted to BIT pdf
3. A. Hannukainen, M. Juntunen, Implementing the finite element assembly in Matlab, Submitted to ACM Transactions on Mathematical Software.

Research Interests

Analysis of preconditioned iterative methods for time-harmonic wave equations

Finite Element programming in Matlab

Energy Conserving methods for simulating electrical machines

Geometric properties of Finite element method

Publications

1. J. Dardé, A. Hannukainen, N. Hyvönen, An Hdiv-based mixed quasi-reversibility method for solving elliptic Cauchy problems, Accepted for publication in SINUM, 2013
2. A. Hannukainen, FIELD OF VALUES ANALYSIS OF A TWO-LEVEL PRECONDITIONER FOR THE HELMHOLTZ EQUATION, Accepted for publication in SINUM, 2013 pdf
3. A. Hannukainen, M. Vohralik, R. Stenberg, A unified framework for a posteriori error estimation for the Stokes problem, to appear in Numer. Math., 2012
4. A. Hannukainen, S. Korotov, M. Křížek, The maximum angle condition is not neces- sary for convergence of the finite element method, Numer. Math., 120(1),79–88, 2012
5. A. Hannukainen, Continuous preconditioners for the mixed Poisson problem, BIT, 52(1),65–85, 2012
6. A. Hannukainen, M. Juntunen, R. Stenberg, Computations with finite element met- hods for the Brinkman problem, Computational Geosciences, 15(1), 155–166, 2011
7. A. Hannukainen, S. Korotov, M. Křížek. Nodal O(h4)-Superconvergence in 3D by Averaging Piecewise Linear, Bilinear, and Trilinear FE Approximation, J. Comput. Math., 28(1), 1–10, 2010
8. A. Hannukainen, S. Korotov, M. Křížek. On global and local mesh refinements by a generalized conforming bisection algorithm, J. Comput. Appl. Math., 235(2), 419-436, 2010
9. T. Vejchodský, A. Hannukainen, S. Korotov. Discrete maximum principle for parabolic problems solved by prismatic finite elements., Math. Comput. Simul. 80(8), 1758-1770, 2010
10. A. Hannukainen, M. Huber, J. Schöberl. A mixed hybrid finite element method for the Helmholtz equation, Journal of Modern Optics, 58(5-6), 424–437, 2010
11. A. Hannukainen, S. Korotov, M. Rüter. A posteriori error estimates for some problems in Linear Elasticity, Computing Letters, 4, 61–72, 2008
12. D. Kuzmin, A. Hannukainen, S. Korotov. A new a posteriori error estimates for convection-reaction-diffusion problem. J. Comput. Appl. Math. 218(1), 70–78, 2008
13. A. Hannukainen, S. Korotov, T. Vejchodský. Discrete maximum principle for 3D-FE solutions of the diffusion-reaction problem on prismatic meshes, J. Comput. Appl. Math. 226(2), 275–287, 2008
14. A. Hannukainen and S. Korotov. Computational Technologies for Reliable Control of Global and Local errors for Linear Elliptic Type Boundary Value Problems, J. Numer. Anal. Indust. Appl. Math.,2(3-4), 157–176, 2007
15. A. Hannukainen, T. Lukkari, J. Malinen, P. Palo. Vowel formants from the wave equation J. Acous. Soc. Amer. Express Letters, 122(1), EL1-EL7, 2007
16. A.Hannukainen, S.Korotov. Techniques for A Posteriori Error Estimation in Terms of Linear Functionals for Elliptic Type Boundary Value Problems, Far East J. Appl. Math, 21(3), 289-304, 2005