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Vejchodský, Tomáš

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Author ID: vejchodsky.tomas Recent zbMATH articles by "Vejchodský, Tomáš"
Published as: Vejchodský, Tomáš; Vejchodský, T.; Vejchodsky, T.; Vejchodský, Tomáv s; Vejchodsky, Tomás; Vejchodský, Tomás
Homepage: http://www.math.cas.cz/homepage/main_page.php?id_membre=63
External Links: MGP · Google Scholar · dblp
Documents Indexed: 52 Publications since 2001
13 Contributions as Editor
Reviewing Activity: 38 Reviews
Co-Authors: 26 Co-Authors with 41 Joint Publications
758 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 183 times in 127 Documents Cited by Year
Discrete maximum principle for higher-order finite elements in 1D. Zbl 1125.65108
Vejchodsky, Tomás; Solín, Pavel
17
2007
Guaranteed and locally computable a posteriori error estimate. Zbl 1096.65112
Vejchodský, Tomáš
16
2006
Two-sided bounds for eigenvalues of differential operators with applications to Friedrichs, Poincaré, trace, and similar constants. Zbl 1287.35050
Šebestová, Ivana; Vejchodský, Tomáš
14
2014
Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model. Zbl 1200.80010
Erban, Radek; Chapman, S. Jonathan; Kevrekidis, Ioannis G.; Vejchodský, Tomáš
13
2009
Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems. Zbl 1229.65194
Ainsworth, Mark; Vejchodský, Tomáš
13
2011
Complementarity based a posteriori error estimates and their properties. Zbl 1256.65097
Vejchodský, Tomáš
11
2012
Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053
Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti
9
2010
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
7
2009
A weak discrete maximum principle for \(hp\)-FEM. Zbl 1153.35313
Šolín, Pavel; Vejchodský, Tomáš
7
2007
On the nonnegativity conservation in semidiscrete parabolic problems. Zbl 1073.65096
Vejchodský, Tomás
6
2004
Robust error bounds for finite element approximation of reaction-diffusion problems with non-constant reaction coefficient in arbitrary space dimension. Zbl 1425.65140
Ainsworth, Mark; Vejchodský, Tomáš
6
2014
A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems. Zbl 1441.65090
Ainsworth, Mark; Vejchodský, Tomáš
6
2019
Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the \(hp\)-FEM. Zbl 1145.65101
Vejchodský, Tomáš; Šolín, Pavel
5
2008
Adaptive finite element method assisted by stochastic simulation of chemical systems. Zbl 1264.65158
Cotter, Simon L.; Vejchodský, Tomáš; Erban, Radek
5
2013
Modular hp-FEM system HERMES and its application to Maxwell’s equations. Zbl 1157.78356
Vejchodský, Tomáš; Šolín, Pavel; Zítka, Martin
4
2007
The discrete maximum principle for Galerkin solutions of elliptic problems. Zbl 1247.65151
Vejchodský, Tomáš
4
2012
Imposing orthogonality to hierarchic higher-order finite elements. Zbl 1135.65396
Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin; Ávila, Francisco
3
2007
Higher-order discrete maximum principle for 1D diffusion-reaction problems. Zbl 1230.65088
Vejchodský, Tomáš
3
2010
Higher-order finite elements based on generalized eigenfunctions of the Laplacian. Zbl 1158.78324
Šolín, Pavel; Vejchodský, Tomáš
3
2008
Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues. Zbl 1435.65191
Vejchodský, Tomáš
3
2018
Orthogonal \(hp\)-FEM for elliptic problems based on a non-affine concept. Zbl 1119.65404
Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin
2
2006
Discrete maximum principle for a 1D problem with piecewise-constant coefficients solved by \(hp\)-FEM. Zbl 1172.65045
Vejchodský, T.; Šolin, P.
2
2007
On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
2
2009
Computing upper bounds on Friedrichs’ constant. Zbl 1313.65296
Vejchodský, Tomáš
2
2012
Test models for statistical inference: two-dimensional reaction systems displaying limit cycle bifurcations and bistability. Zbl 1401.92095
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
2
2017
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Zbl 1277.00031
2
2012
Three methods for two-sided bounds of eigenvalues. A comparison. Zbl 1407.65300
Vejchodský, Tomáš
2
2018
Chemical reaction systems with a homoclinic bifurcation: an inverse problem. Zbl 1372.92127
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
2
2016
Discrete conservation of nonnegativity for elliptic problems solved by the \(hp\)-FEM. Zbl 1135.65395
Šolín, Pavel; Vejchodský, Tomáš; Araiza, Roberto
1
2007
Discrete maximum principle for Poisson equation with mixed boundary conditions solved by \(hp\)-FEM. Zbl 1262.65181
Vejchodsky, T.; Solin, P.
1
2009
Angle conditions for discrete maximum principles in higher-order FEM. Zbl 1216.65163
Vejchodský, Tomáš
1
2010
Comparison principle for a nonlinear parabolic problem of a nonmonotone type. Zbl 1014.35044
Vejchodský, Tomáš
1
2002
On the nonmonotony of nonlinear elliptic operators in divergence form. Zbl 1078.47009
Vejchodský, Tomáš
1
2004
On efficient solution of linear systems arising in \(hp\)-FEM. Zbl 1157.65496
Vejchodský, T.
1
2008
Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. Zbl 1099.65091
Vejchodský, Tomáš
1
2003
Necessary and sufficient condition for the validity of the discrete maximum principle. Zbl 1278.65183
Vejchodský, Tomáš
1
2012
Complementary error bounds for elliptic systems and applications. Zbl 1288.65171
Vejchodský, Tomáš
1
2013
On the quality of local flux reconstructions for guaranteed error bounds. Zbl 1363.65193
Vejchodský, Tomáš
1
2015
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Zbl 1329.00187
1
2015
Irregularity of Turing patterns in the Thomas model with a unilateral term. Zbl 1374.65168
Rybář, Vojtěch; Vejchodský, Tomáš
1
2015
A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems. Zbl 1441.65090
Ainsworth, Mark; Vejchodský, Tomáš
6
2019
Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues. Zbl 1435.65191
Vejchodský, Tomáš
3
2018
Three methods for two-sided bounds of eigenvalues. A comparison. Zbl 1407.65300
Vejchodský, Tomáš
2
2018
Test models for statistical inference: two-dimensional reaction systems displaying limit cycle bifurcations and bistability. Zbl 1401.92095
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
2
2017
Chemical reaction systems with a homoclinic bifurcation: an inverse problem. Zbl 1372.92127
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
2
2016
On the quality of local flux reconstructions for guaranteed error bounds. Zbl 1363.65193
Vejchodský, Tomáš
1
2015
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, November 18–21, 2015. In honor of the birthday anniversaries of Ivo Babuška (90), Milan Práger (85), and Emil Vitásek (85). Zbl 1329.00187
1
2015
Irregularity of Turing patterns in the Thomas model with a unilateral term. Zbl 1374.65168
Rybář, Vojtěch; Vejchodský, Tomáš
1
2015
Two-sided bounds for eigenvalues of differential operators with applications to Friedrichs, Poincaré, trace, and similar constants. Zbl 1287.35050
Šebestová, Ivana; Vejchodský, Tomáš
14
2014
Robust error bounds for finite element approximation of reaction-diffusion problems with non-constant reaction coefficient in arbitrary space dimension. Zbl 1425.65140
Ainsworth, Mark; Vejchodský, Tomáš
6
2014
Adaptive finite element method assisted by stochastic simulation of chemical systems. Zbl 1264.65158
Cotter, Simon L.; Vejchodský, Tomáš; Erban, Radek
5
2013
Complementary error bounds for elliptic systems and applications. Zbl 1288.65171
Vejchodský, Tomáš
1
2013
Complementarity based a posteriori error estimates and their properties. Zbl 1256.65097
Vejchodský, Tomáš
11
2012
The discrete maximum principle for Galerkin solutions of elliptic problems. Zbl 1247.65151
Vejchodský, Tomáš
4
2012
Computing upper bounds on Friedrichs’ constant. Zbl 1313.65296
Vejchodský, Tomáš
2
2012
Proceedings of the international conference ‘Applications of mathematics’, Prague, Czech Republic, May 2–5, 2012. In honor of the 60th birthday of Michal Křížek. Zbl 1277.00031
2
2012
Necessary and sufficient condition for the validity of the discrete maximum principle. Zbl 1278.65183
Vejchodský, Tomáš
1
2012
Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems. Zbl 1229.65194
Ainsworth, Mark; Vejchodský, Tomáš
13
2011
Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053
Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti
9
2010
Higher-order discrete maximum principle for 1D diffusion-reaction problems. Zbl 1230.65088
Vejchodský, Tomáš
3
2010
Angle conditions for discrete maximum principles in higher-order FEM. Zbl 1216.65163
Vejchodský, Tomáš
1
2010
Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model. Zbl 1200.80010
Erban, Radek; Chapman, S. Jonathan; Kevrekidis, Ioannis G.; Vejchodský, Tomáš
13
2009
Discrete maximum principle for FE solutions of the diffusion-reaction problem on prismatic meshes. Zbl 1170.65093
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
7
2009
On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
2
2009
Discrete maximum principle for Poisson equation with mixed boundary conditions solved by \(hp\)-FEM. Zbl 1262.65181
Vejchodsky, T.; Solin, P.
1
2009
Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the \(hp\)-FEM. Zbl 1145.65101
Vejchodský, Tomáš; Šolín, Pavel
5
2008
Higher-order finite elements based on generalized eigenfunctions of the Laplacian. Zbl 1158.78324
Šolín, Pavel; Vejchodský, Tomáš
3
2008
On efficient solution of linear systems arising in \(hp\)-FEM. Zbl 1157.65496
Vejchodský, T.
1
2008
Discrete maximum principle for higher-order finite elements in 1D. Zbl 1125.65108
Vejchodsky, Tomás; Solín, Pavel
17
2007
A weak discrete maximum principle for \(hp\)-FEM. Zbl 1153.35313
Šolín, Pavel; Vejchodský, Tomáš
7
2007
Modular hp-FEM system HERMES and its application to Maxwell’s equations. Zbl 1157.78356
Vejchodský, Tomáš; Šolín, Pavel; Zítka, Martin
4
2007
Imposing orthogonality to hierarchic higher-order finite elements. Zbl 1135.65396
Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin; Ávila, Francisco
3
2007
Discrete maximum principle for a 1D problem with piecewise-constant coefficients solved by \(hp\)-FEM. Zbl 1172.65045
Vejchodský, T.; Šolin, P.
2
2007
Discrete conservation of nonnegativity for elliptic problems solved by the \(hp\)-FEM. Zbl 1135.65395
Šolín, Pavel; Vejchodský, Tomáš; Araiza, Roberto
1
2007
Guaranteed and locally computable a posteriori error estimate. Zbl 1096.65112
Vejchodský, Tomáš
16
2006
Orthogonal \(hp\)-FEM for elliptic problems based on a non-affine concept. Zbl 1119.65404
Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin
2
2006
On the nonnegativity conservation in semidiscrete parabolic problems. Zbl 1073.65096
Vejchodský, Tomás
6
2004
On the nonmonotony of nonlinear elliptic operators in divergence form. Zbl 1078.47009
Vejchodský, Tomáš
1
2004
Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. Zbl 1099.65091
Vejchodský, Tomáš
1
2003
Comparison principle for a nonlinear parabolic problem of a nonmonotone type. Zbl 1014.35044
Vejchodský, Tomáš
1
2002
all top 5

Cited by 198 Authors

16 Vejchodský, Tomáš
12 Korotov, Sergey
7 Erban, Radek
7 Šolín, Pavel
5 Huang, Qiumei
5 Vohralík, Martin
4 Faragó, István
4 Hannukainen, Antti
4 Křížek, Michal
4 Segeth, Karel
4 Xie, Hehu
3 Horváth, Robert A.
3 Karátson, János
3 Plesa, Tomislav
3 Zhang, Shun
2 Ainsworth, Mark
2 Boulbrachene, Messaoud
2 Brandts, Jan H.
2 Cai, Zhiqiang
2 Červený, Jakub
2 Chen, Shaochun
2 Cotter, Simon L.
2 Díez, Pedro
2 Dolejší, Vít
2 Ern, Alexandre
2 Hwang, Hyung Ju
2 Kang, Hye-Won
2 Korneev, Vadim Glebovich
2 Lipnikov, Konstantin N.
2 Ma, Hongkun
2 Manzini, Gianmarco
2 Nakshatrala, K. B.
2 Parés, Núria
2 Svyatsky, Daniil
2 Valdman, Jan
2 Velázquez, Juan J. L.
2 Xie, ManTing
2 Yue, Meiling
2 Zhang, Bei
2 Zhao, Jikun
1 Abdul-Rahman, Raghad
1 Abukhdeir, Nasser Mohieddin
1 Agnelli, Juan Pablo
1 Allendes, Alejandro
1 Álvarez-Aramberri, Julen
1 Andrs, David
1 Araiza, Roberto
1 Arioli, Mario
1 Avijit, D.
1 Badia, Santiago
1 Baker, Ruth Elizabeth
1 Banjai, Lehel
1 Ben Belgacem, Faker
1 Bertrand, Fleurianne
1 Bi, Hai
1 Bittencourt, Marco Lúcio
1 Boulton, Lyonell S.
1 Byfut, Andreas
1 Cai, Difeng
1 Calo, Victor Manuel
1 Cancès, Eric
1 Carstensen, Carsten
1 Cheddadi, Ibrahim
1 Chen, Shuangshuang
1 Chen, Zheng
1 Congreve, Scott
1 Dalcín, Lisandro D.
1 Debit, Naïma
1 Debyaoui, Mohamed Ali
1 Demlow, Alan
1 Doležel, Ivo
1 Dusson, Geneviève
1 El Fekih, Henda
1 Enciso, Germán Andrés
1 Ersoy, Mehmet
1 Evans, John A.
1 Fencl, Martin
1 Ferrer, Esteban
1 Fučík, Radek
1 Gao, Fuzheng
1 Gawecka, K. A.
1 Geijselaers, H. J. M.
1 Giani, Stefano
1 Giles, Michael B.
1 Grubišić, Luka
1 Gyrya, Vitaliy T.
1 He, Cuiyu
1 Heltai, Luca
1 Hernández, Erwin
1 Hierro, Alba
1 Horváth, Zoltán
1 Huang, Hongying
1 Hughes, Thomas J. R.
1 Jiang, Shan
1 Jilkine, Alexandra
1 Jirásek, Milan
1 Katsoulakis, Markos A.
1 Kaufmann, Uriel
1 Khiari, Souad
1 Kim, Jinsu
...and 98 more Authors
all top 5

Cited in 48 Serials

15 Journal of Computational and Applied Mathematics
9 Journal of Computational Physics
7 Computers & Mathematics with Applications
7 Computer Methods in Applied Mechanics and Engineering
7 Mathematics and Computers in Simulation
6 Applications of Mathematics
5 Applied Mathematics and Computation
5 Applied Numerical Mathematics
4 Numerische Mathematik
4 SIAM Journal on Numerical Analysis
4 Journal of Scientific Computing
3 Bulletin of Mathematical Biology
3 International Journal for Numerical Methods in Engineering
3 SIAM Journal on Scientific Computing
3 Journal of Mathematical Chemistry
2 European Journal of Applied Mathematics
2 Computational Mathematics and Mathematical Physics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Communications in Computational Physics
2 Advances in Applied Mathematics and Mechanics
1 Archive for Rational Mechanics and Analysis
1 Computers and Fluids
1 International Journal for Numerical Methods in Fluids
1 Mathematics of Computation
1 Czechoslovak Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Computational Mechanics
1 Numerical Methods for Partial Differential Equations
1 Computational Mathematics and Modeling
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Journal of Inverse and Ill-Posed Problems
1 Advances in Computational Mathematics
1 European Journal of Mechanics. A. Solids
1 Communications in Nonlinear Science and Numerical Simulation
1 Computational Methods in Applied Mathematics
1 Central European Journal of Mathematics
1 GAMM-Mitteilungen
1 Advances in Numerical Analysis
1 Science China. Mathematics
1 International Journal of Advances in Engineering Sciences and Applied Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 East Asian Journal on Applied Mathematics
1 Journal of Fractal Geometry
1 Electronic Research Archive
1 International Journal on Finite Volumes

Citations by Year