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Vejchodský, Tomáš

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

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 268 times in 173 Documents Cited by Year
Two-sided bounds for eigenvalues of differential operators with applications to Friedrichs, Poincaré, trace, and similar constants. Zbl 1287.35050
Šebestová, Ivana; Vejchodský, Tomáš
24
2014
Discrete maximum principle for higher-order finite elements in 1D. Zbl 1125.65108
Vejchodsky, Tomás; Solín, Pavel
23
2007
Guaranteed and locally computable a posteriori error estimate. Zbl 1096.65112
Vejchodský, Tomáš
20
2006
Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems. Zbl 1229.65194
Ainsworth, Mark; Vejchodský, Tomáš
18
2011
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
16
2009
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
16
2014
Complementarity based a posteriori error estimates and their properties. Zbl 1256.65097
Vejchodský, Tomáš
13
2012
Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053
Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti
9
2010
On the nonnegativity conservation in semidiscrete parabolic problems. Zbl 1073.65096
Vejchodský, Tomás
8
2004
Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the \(hp\)-FEM. Zbl 1145.65101
Vejchodský, Tomáš; Šolín, Pavel
8
2008
A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems. Zbl 1441.65090
Ainsworth, Mark; Vejchodský, Tomáš
8
2019
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
Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues. Zbl 1435.65191
Vejchodský, Tomáš
7
2018
Adaptive finite element method assisted by stochastic simulation of chemical systems. Zbl 1264.65158
Cotter, Simon L.; Vejchodský, Tomáš; Erban, Radek
6
2013
The discrete maximum principle for Galerkin solutions of elliptic problems. Zbl 1247.65151
Vejchodský, Tomáš
5
2012
Chemical reaction systems with a homoclinic bifurcation: an inverse problem. Zbl 1372.92127
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
5
2016
Modular hp-FEM system HERMES and its application to Maxwell’s equations. Zbl 1157.78356
Vejchodský, Tomáš; Šolín, Pavel; Zítka, Martin
5
2007
Three methods for two-sided bounds of eigenvalues. A comparison. Zbl 1407.65300
Vejchodský, Tomáš
5
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
5
2017
Angle conditions for discrete maximum principles in higher-order FEM. Zbl 1216.65163
Vejchodský, Tomáš
4
2010
Computing upper bounds on Friedrichs’ constant. Zbl 1313.65296
Vejchodský, Tomáš
4
2012
Discrete maximum principle for a 1D problem with piecewise-constant coefficients solved by \(hp\)-FEM. Zbl 1172.65045
Vejchodský, T.; Šolin, P.
4
2007
Higher-order finite elements based on generalized eigenfunctions of the Laplacian. Zbl 1158.78324
Šolín, Pavel; Vejchodský, Tomáš
3
2008
Orthogonal \(hp\)-FEM for elliptic problems based on a non-affine concept. Zbl 1119.65404
Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin
3
2006
Higher-order discrete maximum principle for 1D diffusion-reaction problems. Zbl 1230.65088
Vejchodský, Tomáš
3
2010
On weakening conditions for discrete maximum principles for linear finite element schemes. Zbl 1233.65089
Hannukainen, Antti; Korotov, Sergey; Vejchodský, Tomáš
3
2009
Imposing orthogonality to hierarchic higher-order finite elements. Zbl 1135.65396
Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin; Ávila, Francisco
3
2007
The first eigenvalue and eigenfunction of a nonlinear elliptic system. Zbl 1429.35165
Bozorgnia, Farid; Mohammadi, Seyyed Abbas; Vejchodský, Tomáš
3
2019
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
2
2015
Accurate reduction of a model of circadian rhythms by delayed quasi-steady state assumptions. Zbl 1349.92030
Vejchodský, Tomáš
2
2014
Fully computable a posteriori error bounds for eigenfunctions. Zbl 1496.65204
Liu, Xuefeng; Vejchodský, Tomáš
2
2022
Discrete maximum principle for Poisson equation with mixed boundary conditions solved by \(hp\)-FEM. Zbl 1262.65181
Vejchodsky, T.; Solin, P.
2
2009
On efficient solution of linear systems arising in \(hp\)-FEM. Zbl 1157.65496
Vejchodský, T.
2
2008
Complementary error bounds for elliptic systems and applications. Zbl 1288.65171
Vejchodský, Tomáš
2
2013
Fully discrete error estimation by the method of lines for a nonlinear parabolic problem. Zbl 1099.65091
Vejchodský, Tomáš
1
2003
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
1
2012
Irregularity of Turing patterns in the Thomas model with a unilateral term. Zbl 1374.65168
Rybář, Vojtěch; Vejchodský, Tomáš
1
2015
On the nonmonotony of nonlinear elliptic operators in divergence form. Zbl 1078.47009
Vejchodský, Tomáš
1
2004
Guaranteed a posteriori error bounds for low-rank tensor approximate solutions. Zbl 1511.65121
Dolgov, Sergey; Vejchodský, Tomáš
1
2021
A comparison of simplicial and block finite elements. Zbl 1216.65030
Korotov, Sergey; Vejchodský, Tomáš
1
2010
On the quality of local flux reconstructions for guaranteed error bounds. Zbl 1363.65193
Vejchodský, Tomáš
1
2015
Corrigendum to: “Robust error bounds for finite element approximation of reaction-diffusion problems with non-constant reaction coefficient in arbitrary space dimension”. Zbl 1425.65141
Ainsworth, Mark; Vejchodský, Tomáš
1
2016
Comparison principle for a nonlinear parabolic problem of a nonmonotone type. Zbl 1014.35044
Vejchodský, Tomáš
1
2002
Discrete conservation of nonnegativity for elliptic problems solved by the \(hp\)-FEM. Zbl 1135.65395
Šolín, Pavel; Vejchodský, Tomáš; Araiza, Roberto
1
2007
Necessary and sufficient condition for the validity of the discrete maximum principle. Zbl 1278.65183
Vejchodský, Tomáš
1
2012
Fully computable a posteriori error bounds for eigenfunctions. Zbl 1496.65204
Liu, Xuefeng; Vejchodský, Tomáš
2
2022
Guaranteed a posteriori error bounds for low-rank tensor approximate solutions. Zbl 1511.65121
Dolgov, Sergey; Vejchodský, Tomáš
1
2021
A simple approach to reliable and robust a posteriori error estimation for singularly perturbed problems. Zbl 1441.65090
Ainsworth, Mark; Vejchodský, Tomáš
8
2019
The first eigenvalue and eigenfunction of a nonlinear elliptic system. Zbl 1429.35165
Bozorgnia, Farid; Mohammadi, Seyyed Abbas; Vejchodský, Tomáš
3
2019
Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues. Zbl 1435.65191
Vejchodský, Tomáš
7
2018
Three methods for two-sided bounds of eigenvalues. A comparison. Zbl 1407.65300
Vejchodský, Tomáš
5
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
5
2017
Chemical reaction systems with a homoclinic bifurcation: an inverse problem. Zbl 1372.92127
Plesa, Tomislav; Vejchodský, Tomáš; Erban, Radek
5
2016
Corrigendum to: “Robust error bounds for finite element approximation of reaction-diffusion problems with non-constant reaction coefficient in arbitrary space dimension”. Zbl 1425.65141
Ainsworth, Mark; Vejchodský, Tomáš
1
2016
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
2
2015
Irregularity of Turing patterns in the Thomas model with a unilateral term. Zbl 1374.65168
Rybář, Vojtěch; Vejchodský, Tomáš
1
2015
On the quality of local flux reconstructions for guaranteed error bounds. Zbl 1363.65193
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
24
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
16
2014
Accurate reduction of a model of circadian rhythms by delayed quasi-steady state assumptions. Zbl 1349.92030
Vejchodský, Tomáš
2
2014
Adaptive finite element method assisted by stochastic simulation of chemical systems. Zbl 1264.65158
Cotter, Simon L.; Vejchodský, Tomáš; Erban, Radek
6
2013
Complementary error bounds for elliptic systems and applications. Zbl 1288.65171
Vejchodský, Tomáš
2
2013
Complementarity based a posteriori error estimates and their properties. Zbl 1256.65097
Vejchodský, Tomáš
13
2012
The discrete maximum principle for Galerkin solutions of elliptic problems. Zbl 1247.65151
Vejchodský, Tomáš
5
2012
Computing upper bounds on Friedrichs’ constant. Zbl 1313.65296
Vejchodský, Tomáš
4
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
1
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
18
2011
Discrete maximum principle for parabolic problems solved by prismatic finite elements. Zbl 1214.65053
Vejchodský, Tomáš; Korotov, Sergey; Hannukainen, Antti
9
2010
Angle conditions for discrete maximum principles in higher-order FEM. Zbl 1216.65163
Vejchodský, Tomáš
4
2010
Higher-order discrete maximum principle for 1D diffusion-reaction problems. Zbl 1230.65088
Vejchodský, Tomáš
3
2010
A comparison of simplicial and block finite elements. Zbl 1216.65030
Korotov, Sergey; 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
16
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
3
2009
Discrete maximum principle for Poisson equation with mixed boundary conditions solved by \(hp\)-FEM. Zbl 1262.65181
Vejchodsky, T.; Solin, P.
2
2009
Static condensation, partial orthogonalization of basis functions, and ILU preconditioning in the \(hp\)-FEM. Zbl 1145.65101
Vejchodský, Tomáš; Šolín, Pavel
8
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.
2
2008
Discrete maximum principle for higher-order finite elements in 1D. Zbl 1125.65108
Vejchodsky, Tomás; Solín, Pavel
23
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
5
2007
Discrete maximum principle for a 1D problem with piecewise-constant coefficients solved by \(hp\)-FEM. Zbl 1172.65045
Vejchodský, T.; Šolin, P.
4
2007
Imposing orthogonality to hierarchic higher-order finite elements. Zbl 1135.65396
Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin; Ávila, Francisco
3
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
20
2006
Orthogonal \(hp\)-FEM for elliptic problems based on a non-affine concept. Zbl 1119.65404
Šolín, Pavel; Vejchodský, Tomáš; Zítka, Martin
3
2006
On the nonnegativity conservation in semidiscrete parabolic problems. Zbl 1073.65096
Vejchodský, Tomás
8
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 284 Authors

19 Vejchodský, Tomáš
12 Korotov, Sergey
8 Erban, Radek
7 Šolín, Pavel
5 Huang, Qiumei
5 Plesa, Tomislav
5 Segeth, Karel
5 Vohralík, Martin
5 Xu, Fei
4 Díez, Pedro
4 Faragó, István
4 Hannukainen, Antti
4 Křížek, Michal
4 Parés, Núria
4 Xie, Hehu
3 Boulbrachene, Messaoud
3 Horváth, Robert A.
3 Kang, Hye-Won
3 Karátson, János
3 Korneev, Vadim Glebovich
3 Yue, Meiling
3 Zhang, Shun
2 Ainsworth, Mark
2 Blanc, Xavier
2 Brandts, Jan H.
2 Cai, Difeng
2 Cai, Zhiqiang
2 Carstensen, Carsten
2 Červený, Jakub
2 Chen, Shaochun
2 Cotter, Simon L.
2 Dolejší, Vít
2 Dusson, Geneviève
2 Ern, Alexandre
2 He, Cuiyu
2 Hermeline, François
2 Hwang, Hyung Ju
2 Kopteva, Natalia Viktorovna
2 Labourasse, Emmanuel
2 Lipnikov, Konstantin N.
2 Ma, Hongkun
2 Maday, Yvon
2 Manzini, Gianmarco
2 Mincsovics, Miklós Emil
2 Nakano, Taiga
2 Nakshatrala, Kalyana B.
2 Patela, Julie
2 Puttkammer, Sophie
2 Schroder, Andreas
2 Svyatsky, Daniil
2 Valdman, Jan
2 Velázquez, Juan J. L.
2 Xie, ManTing
2 Yang, Yidu
2 Zhang, Bei
2 Zhang, Yu
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 Arakelyan, Avetik
1 Arioli, Mario
1 Avijit, D.
1 Bachmayr, Markus
1 Badia, Santiago
1 Baker, Ruth Elizabeth
1 Banjai, Lehel
1 Barrenechea, Gabriel R.
1 Ben Belgacem, Faker
1 Bertrand, Fleurianne
1 Bi, Hai
1 Bianca, Carlo
1 Biotto, C.
1 Bittencourt, Marco Lúcio
1 Bolis, Alessandro
1 Boulton, Lyonell
1 Bozorgnia, Farid
1 Bybordiani, Milad
1 Byfut, Andreas
1 Calo, Victor Manuel
1 Cancès, Eric
1 Cantwell, Chris D.
1 Canuto, Claudio
1 Capatina, Daniela
1 Cheddadi, Ibrahim
1 Chen, Shuangshuang
1 Chen, Zheng
1 Chow, Edmond
1 Comerford, Andrew
1 Congreve, Scott
1 Dack, Alexander
1 Dalcín, Lisandro D.
1 De Grazia, Daniele
1 Debit, Naïma
1 Debyaoui, Mohamed Ali
1 Demlow, Alan
...and 184 more Authors
all top 5

Cited in 61 Serials

18 Journal of Computational and Applied Mathematics
11 Journal of Computational Physics
10 Computers & Mathematics with Applications
8 Computer Methods in Applied Mechanics and Engineering
8 International Journal for Numerical Methods in Engineering
7 Mathematics and Computers in Simulation
7 SIAM Journal on Numerical Analysis
7 Applications of Mathematics
5 Bulletin of Mathematical Biology
5 Applied Mathematics and Computation
5 Numerische Mathematik
5 Applied Numerical Mathematics
5 Journal of Scientific Computing
4 Journal of Mathematical Chemistry
3 Numerical Methods for Partial Differential Equations
3 SIAM Journal on Scientific Computing
3 Communications in Computational Physics
2 European Journal of Applied Mathematics
2 Computational Mathematics and Mathematical Physics
2 Numerical Linear Algebra with Applications
2 Advances in Computational Mathematics
2 Communications in Nonlinear Science and Numerical Simulation
2 Computational Methods in Applied Mathematics
2 Central European Journal of Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Advances in Applied Mathematics and Mechanics
1 Archive for Rational Mechanics and Analysis
1 Computers and Fluids
1 Computer Physics Communications
1 International Journal for Numerical Methods in Fluids
1 Journal of Mathematical Biology
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Mathematics of Computation
1 BIT
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 Computational Mathematics and Modeling
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Numerical Algorithms
1 Applied Mathematical Modelling
1 Linear Algebra and its Applications
1 SIAM Review
1 Computational and Applied Mathematics
1 Journal of Inverse and Ill-Posed Problems
1 Journal of Inequalities and Applications
1 European Journal of Mechanics. A. Solids
1 Acta Numerica
1 GAMM-Mitteilungen
1 Journal of Biological Dynamics
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 Moroccan Journal of Pure and Applied Analysis
1 Electronic Research Archive
1 International Journal on Finite Volumes

Citations by Year