A Posteriori Error Estimates for Axisymmetric and Nonlinear Problems. - Michal Krízek; Jan Nemec; Tomás Vejchodský (Adv. Comput. Math., 2001)

Discrete maximum principle for a 1D problem with piecewise-constant coefficients solved by hp-FEM. - Tomás Vejchodský; Pavel Solín (J. Num. Math., 2007)

Discrete conservation of nonnegativity for elliptic problems solved by the hp-FEM. - Pavel Solín; Tomás Vejchodský; Roberto Araiza (Math. Comput. Simul., 2007)

Imposing orthogonality to hierarchic higher-order finite elements. - Pavel Solín; Tomás Vejchodský; Martin Zítka; Francisco Ávila (Math. Comput. Simul., 2007)

Modular hp-FEM system HERMES and its application to Maxwell's equations. - Tomás Vejchodský; Pavel Solín; Martin Zítka (Math. Comput. Simul., 2007)

Discrete maximum principle for higher-order finite elements in 1D. - Tomás Vejchodský; Pavel Solín (Math. Comput., 2007)

On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes. - Antti Hannukainen; Sergey Korotov; Tomás Vejchodský (NAA, 2008)

Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model. - Radek Erban; S. Jonathan Chapman; Ioannis G. Kevrekidis; Tomás Vejchodský (SIAM J. Appl. Math., 2009)

Discrete maximum principle for parabolic problems solved by prismatic finite elements. - Tomás Vejchodský; Sergey Korotov; Antti Hannukainen (Math. Comput. Simul., 2010)

Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems. - Mark Ainsworth; Tomás Vejchodský (Numerische Mathematik, 2011)

Complementarity based a posteriori error estimates and their properties. - Tomás Vejchodský (Math. Comput. Simul., 2012)

Complementary error bounds for elliptic systems and applications. - Tomás Vejchodský (Appl. Math. Comput., 2013)

Adaptive Finite Element Method Assisted by Stochastic Simulation of Chemical Systems. - Simon L. Cotter; Tomás Vejchodský; Radek Erban (SIAM J. Sci. Comput., 2013)

Two-Sided Bounds for Eigenvalues of Differential Operators with Applications to Friedrichs, Poincaré, Trace, and Similar Constants. - Ivana Sebestová; Tomás Vejchodský (SIAM J. Numer. Anal., 2014)

Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues. - Tomás Vejchodský (J. Comput. Appl. Math., 2018)

Projection error-based guaranteed L2 error bounds for finite element approximations of Laplace eigenfunctions. - Xuefeng Liu; Tomás Vejchodský (CoRR, 2022)

Fully computable a posteriori error bounds for eigenfunctions. - Xuefeng Liu; Tomás Vejchodský (Numerische Mathematik, 2022)

Projection-based guaranteed L2 error bounds for finite element approximations of Laplace eigenfunctions. - Xuefeng Liu; Tomás Vejchodský (J. Comput. Appl. Math., 2023)