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- 1.0471867 - MÚ 2017 RIV CZ eng J - Journal Article
Hannukainen, A. - Korotov, S. - Křížek, Michal
On Synge-type angle condition for d-simplices.
Applications of Mathematics. Roč. 62, č. 1 (2017), s. 1-13. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA ČR GA14-02067S
Institutional support: RVO:67985840
Keywords : simplicial element * maximum angle condition * interpolation error
OECD category: Applied mathematics
Impact factor: 0.897, year: 2017
http://link.springer.com/article/10.21136/AM.2017.0132-16
Permanent Link: http://hdl.handle.net/11104/0269223File Download Size Commentary Version Access Krizek.pdf 2 162.8 KB Publisher’s postprint open-access - 2.0428478 - MÚ 2015 RIV NL eng J - Journal Article
Hannukainen, A. - Korotov, S. - Křížek, Michal
On numerical regularity of the face-to-face longest-edge bisection algorithm for tetrahedral partitions.
Science of Computer Programming. Roč. 90, Part A (2014), s. 34-41. ISSN 0167-6423. E-ISSN 1872-7964
R&D Projects: GA ČR GA14-02067S
Institutional support: RVO:67985840
Keywords : bisection algorithm * conforming finite element method * regular family of partitions
Subject RIV: BA - General Mathematics
Impact factor: 0.715, year: 2014
http://www.sciencedirect.com/science/article/pii/S0167642313001226
Permanent Link: http://hdl.handle.net/11104/0233821File Download Size Commentary Version Access Krizek.pdf 1 375.3 KB Publisher’s postprint require - 3.0371026 - MÚ 2012 RIV DE eng J - Journal Article
Hannukainen, A. - Korotov, S. - Křížek, Michal
The maximum angle condition is not necessary for convergence of the finite element method.
Numerische Mathematik. Roč. 120, č. 1 (2012), s. 79-88. ISSN 0029-599X. E-ISSN 0945-3245
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : finite element method * convergence * maximum angle condition
Subject RIV: BA - General Mathematics
Impact factor: 1.329, year: 2012
http://www.springerlink.com/content/w3x608m247pn4t67/
Permanent Link: http://hdl.handle.net/11104/0204666File Download Size Commentary Version Access Krizek5.pdf 10 390.3 KB Publisher’s postprint require - 4.0364798 - MÚ 2012 RIV ES eng J - Journal Article
Brandts, J. - Hannukainen, A. - Korotov, S. - Křížek, Michal
On angle conditions in the finite element method.
Sociedad Espaňola de Matemática Aplicada. Roč. 56, - (2011), s. 81-95. ISSN 1575-9822
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : simplicial finite elements * minimum and maximum angle condition * ball conditions
Subject RIV: BA - General Mathematics
http://www.sema.org.es/ojs/index.php?journal=journal&page=article&op=viewArticle&path%5B%5D=612
Permanent Link: http://hdl.handle.net/11104/0200182File Download Size Commentary Version Access Krizek7.pdf 1 154.9 KB Publisher’s postprint require - 5.0358616 - MÚ 2011 RIV NL eng J - Journal Article
Hannukainen, A. - Korotov, S. - Vejchodský, Tomáš
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes.
Journal of Computational and Applied Mathematics. Roč. 226, č. 2 (2009), s. 275-287. ISSN 0377-0427. E-ISSN 1879-1778
R&D Projects: GA AV ČR IAA100760702
Keywords : Diffusion-reaction problem * Maximum principle * Prismatic finite elements
Subject RIV: BA - General Mathematics
Impact factor: 1.292, year: 2009
Permanent Link: http://hdl.handle.net/11104/0196589 - 6.0352123 - MÚ 2011 RIV NL eng J - Journal Article
Vejchodský, Tomáš - Korotov, S. - Hannukainen, A.
Discrete maximum principle for parabolic problems solved by prismatic finite elements.
Mathematics and Computers in Simulation. Roč. 80, č. 8 (2010), s. 1758-1770. ISSN 0378-4754. E-ISSN 1872-7166
R&D Projects: GA ČR(CZ) GA102/07/0496; GA AV ČR IAA100760702
Institutional research plan: CEZ:AV0Z10190503
Keywords : parabolic problem * maximum principle * prismatic finite elements * discrete maximum principle
Subject RIV: BA - General Mathematics
Impact factor: 0.812, year: 2010
http://www.sciencedirect.com/science/article/pii/S0378475409003176
Permanent Link: http://hdl.handle.net/11104/0191707File Download Size Commentary Version Access Vejchodsky3.pdf 1 472.3 KB Publisher’s postprint require - 7.0346707 - MÚ 2011 RIV NL eng J - Journal Article
Hannukainen, A. - Korotov, S. - Křížek, Michal
On global and local mesh refinements by a generalized conforming bisection algorithm.
Journal of Computational and Applied Mathematics. Roč. 235, č. 2 (2010), s. 419-436. ISSN 0377-0427. E-ISSN 1879-1778
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : Zlámal's minimum angle condition * finite element method * nested triangulations * conforming longest-edge bisection algorithm * high aspect ratio elements
Subject RIV: BA - General Mathematics
Impact factor: 1.029, year: 2010
http://www.sciencedirect.com/science/article/pii/S0377042710003365
Permanent Link: http://hdl.handle.net/11104/0187658File Download Size Commentary Version Access Krizek5.pdf 1 1.4 MB Publisher’s postprint require - 8.0338973 - MÚ 2010 RIV CN eng J - Journal Article
Hannukainen, A. - Korotov, S. - Křížek, Michal
Nodal O(h4)-superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations.
Journal of Computational Mathematics. Roč. 28, č. 1 (2010), s. 1-10. ISSN 0254-9409. E-ISSN 1991-7139
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional research plan: CEZ:AV0Z10190503
Keywords : higher order error estimates * tetrahedral and prismatic elements * superconvergence * averaging operators
Subject RIV: BA - General Mathematics
Impact factor: 0.760, year: 2010
http://www.jstor.org/stable/43693564
Permanent Link: http://hdl.handle.net/11104/0182614File Download Size Commentary Version Access Krizek3.pdf 11 247.7 KB Publisher’s postprint require - 9.0321936 - MÚ 2009 RIV NL eng J - Journal Article
Hannukainen, A. - Korotov, S. - Vejchodský, Tomáš
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes.
[Diskrétní princip maxima pro difuzně-reakční úlohu řešenou metodou konečných prvků na hranolových sítích.]
Journal of Computational and Applied Mathematics. Roč. 226, č. 2 (2009), s. 275-287. ISSN 0377-0427. E-ISSN 1879-1778
R&D Projects: GA AV ČR IAA100760702
Institutional research plan: CEZ:AV0Z10190503
Keywords : diffusion-reaction problem * maximum principle * prismatic finite elements
Subject RIV: BA - General Mathematics
Impact factor: 1.292, year: 2009
Permanent Link: http://hdl.handle.net/11104/0170332File Download Size Commentary Version Access Vejchodsky1.pdf 1 1.3 MB Publisher’s postprint require