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- 1.0335936 - MÚ 2010 RIV NL eng J - Journal Article
Šolín, P. - Vejchodský, Tomáš - Araiza, R.
Discrete conservation of nonnegativity for elliptic problems solved by the hp-FEM.
Mathematics and Computers in Simulation. Roč. 76, 1-3 (2007), s. 205-210. ISSN 0378-4754. E-ISSN 1872-7166
R&D Projects: GA ČR GP201/04/P021
Institutional research plan: CEZ:AV0Z10190503
Keywords : discrete nonnegativity conservation * discrete Green's function * elliptic problems * hp-FEM * higher-order finite element methods * Poisson equation * numerical experimetns
Subject RIV: BA - General Mathematics
Impact factor: 0.738, year: 2007
Permanent Link: http://hdl.handle.net/11104/0180279File Download Size Commentary Version Access Vejchodsky.pdf 1 338.1 KB Publisher’s postprint require - 2.0335929 - MÚ 2010 RIV NL eng J - Journal Article
Šolín, P. - Vejchodský, Tomáš - Zítka, M. - Ávila, F.
Imposing orthogonality to hierarchic higher-order finite elements.
Mathematics and Computers in Simulation. Roč. 76, 1-3 (2007), s. 211-217. ISSN 0378-4754. E-ISSN 1872-7166
R&D Projects: GA ČR GP201/04/P021
Institutional research plan: CEZ:AV0Z10190503
Keywords : optimal shape functions * energetic inner product * Laplace equation * symmetric linear elliptic problems * numerical experiments * hp-finite element method
Subject RIV: BA - General Mathematics
Impact factor: 0.738, year: 2007
Permanent Link: http://hdl.handle.net/11104/0180272File Download Size Commentary Version Access Vejchodsky1.pdf 1 464.8 KB Publisher’s postprint require - 3.0321738 - ÚT 2009 RIV US eng J - Journal Article
Šolín, Pavel - Vejchodský, Tomáš
Higher-order finite elements based on generalized eigenfunctions of the Laplacian.
[Metody konečných prvků vyšších řádů založené na zobecněných vlastních funkcích Laplacianu.]
International Journal for Numerical Methods in Engineering. Roč. 73, č. 10 (2008), s. 1374-1394. ISSN 0029-5981. E-ISSN 1097-0207
R&D Projects: GA ČR GA102/05/0629; GA ČR(CZ) GA102/07/0496; GA AV ČR IAA100760702; GA ČR GP201/04/P021
Institutional research plan: CEZ:AV0Z10190503; CEZ:AV0Z20570509
Keywords : hp-FEM * optimal shape functions * generalized eigenfunctions
Subject RIV: JA - Electronics ; Optoelectronics, Electrical Engineering
Impact factor: 2.229, year: 2008
Permanent Link: http://hdl.handle.net/11104/0170191File Download Size Commentary Version Access Vejchodsky6.pdf 1 482.6 KB Publisher’s postprint require - 4.0319204 - MÚ 2009 RIV DE eng J - Journal Article
Vejchodský, Tomáš - Šolín, Pavel
Discrete Maximum Principle for a 1D Problem with Piecewise-Constant Coefficients Solved by hp-FEM.
[Diskrétní princip maxima, pro 1D úlohu s po částech konstantními koeficienty řešenou hp-verzí metody konečných prvků.]
Journal of Numerical Mathematics. Roč. 15, č. 3 (2007), s. 233-243. ISSN 1570-2820. E-ISSN 1569-3953
R&D Projects: GA ČR GP201/04/P021; GA ČR GA102/05/0629
Institutional research plan: CEZ:AV0Z10190503; CEZ:AV0Z20570509
Keywords : discrete maximum principle * hp-FEM * Poisson equation
Subject RIV: BA - General Mathematics
Permanent Link: http://hdl.handle.net/11104/0168427 - 5.0092658 - MÚ 2008 RIV NL eng J - Journal Article
Vejchodský, Tomáš - Šolín, P. - Zítka, M.
Modular hp-FEM system HERMES and its application to Maxwell´s equations.
[Modulární systém HERMES založený na hp-MKP a jeho aplikace na Maxwellovy rovnice.]
Mathematics and Computers in Simulation. Roč. 76, č. 2 (2007), s. 223-228. ISSN 0378-4754. E-ISSN 1872-7166.
[MODELLING 2005. Plzeň, 04.06.2005-08.06.2005]
R&D Projects: GA ČR GP201/04/P021
Institutional research plan: CEZ:AV0Z10190503
Keywords : hp-FEM * time-harmonic Maxwell´s equations * hierarchic higher-order edge elements
Subject RIV: BA - General Mathematics
Impact factor: 0.738, year: 2007
Permanent Link: http://hdl.handle.net/11104/0152920File Download Size Commentary Version Access Vejchodsky4.pdf 1 604.9 KB Publisher’s postprint require - 6.0090694 - MÚ 2008 RIV US eng J - Journal Article
Vejchodský, Tomáš - Šolín, Pavel
Discrete Maximum Principle for Higher-Order Finite Elements in 1D.
[Diskrétní princip maxima pro konečné prvky vyšších řádů v 1D.]
Mathematics of Computation. Roč. 76, č. 260 (2007), s. 1833-1846. ISSN 0025-5718. E-ISSN 1088-6842
R&D Projects: GA ČR GP201/04/P021
Institutional research plan: CEZ:AV0Z10190503; CEZ:AV0Z20760514
Keywords : discrete maximum principle * discrete Grren´s function * higher-order elements
Subject RIV: BA - General Mathematics
Impact factor: 1.230, year: 2007
Permanent Link: http://hdl.handle.net/11104/0151501File Download Size Commentary Version Access Vejchodsky2.pdf 1 269.3 KB Publisher’s postprint require - 7.0055134 - MÚ 2007 RIV GB eng J - Journal Article
Vejchodský, Tomáš
Guaranteed and locally computable a posteriori error estimate.
[Zaručený a lokální aposteriorní odhad chyby.]
IMA Journal of Numerical Analysis. Roč. 26, č. 4 (2006), s. 525-540. ISSN 0272-4979. E-ISSN 1464-3642
R&D Projects: GA ČR(CZ) GP201/04/P021
Institutional research plan: CEZ:AV0Z10190503
Keywords : a posteriori error estimates * linear elliptic problem * finite-element method
Subject RIV: BA - General Mathematics
Impact factor: 1.159, year: 2006
Permanent Link: http://hdl.handle.net/11104/0142963File Download Size Commentary Version Access Vejchodsky2.pdf 1 234.3 KB Publisher’s postprint require