Anisotropic mesh adaptation technique for viscous flow simulation. - Vít Dolejsí (J. Num. Math., 2001)

On some aspects of the discontinuous Galerkin finite element method for conservation laws. - Vít Dolejsí; Miloslav Feistauer; Christoph Schwab (Math. Comput. Simul., 2003)

Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems. - Vít Dolejsí; Miloslav Vlasák (Numerische Mathematik, 2008)

L∞ (L2)-error estimates for the DGFEM applied to convection-diffusion problems on nonconforming meshes. - Miloslav Feistauer; Vít Dolejsí; Václav Kucera; Veronika Sobotíková (J. Num. Math., 2009)

The L2-Optimality of the IIPG Method for Odd Degrees of Polynomial Approximation in 1D. - Vít Dolejsí; Oto Havle (J. Sci. Comput., 2010)

On the solution of linear algebraic systems arising from the semi-implicit DGFE discretization of the compressible Navier-Stokes equations. - Vít Dolejsí (Kybernetika, 2010)

BDF-FEM for parabolic singularly perturbed problems with exponential layers on layer-adapted meshes in space. - Vít Dolejsí; Hans-Görg Roos (Neural Parallel Sci. Comput., 2010)

Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier-Stokes equations. - Vít Dolejsí; M. Holík; Jirí Hozman (J. Comput. Phys., 2011)

hp-DGFEM for nonlinear convection-diffusion problems. - Vít Dolejsí (Math. Comput. Simul., 2013)

A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems. - Vít Dolejsí; Alexandre Ern; Martin Vohralík (SIAM J. Numer. Anal., 2013)

A Posteriori Error Estimates for Nonstationary Problems. - Vít Dolejsí; Filip Roskovec; Miloslav Vlasák (ENUMATH, 2015)

Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs. - Vít Dolejsí (Appl. Math. Comput., 2015)

Algebraic and Discretization Error Estimation by Equilibrated Fluxes for Discontinuous Galerkin Methods on Nonmatching Grids. - Vít Dolejsí; Ivana Sebestová; Martin Vohralík (J. Sci. Comput., 2015)

hp-discontinuous Galerkin method based on local higher order reconstruction. - Vít Dolejsí; Pavel Solín (Appl. Math. Comput., 2016)

Discontinuous Galerkin method for the solution of a transport level-set problem. - Eva Bezchlebová; Vít Dolejsí; Miloslav Feistauer (Comput. Math. Appl., 2016)

hp-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems. - Vít Dolejsí; Alexandre Ern; Martin Vohralík (SIAM J. Sci. Comput., 2016)

Anisotropic hp-mesh optimization technique based on the continuous mesh and error models. - Vít Dolejsí; Georg May; Filip Roskovec; Pavel Solín (Comput. Math. Appl., 2017)

Recent Advances in Computing. - Pavel Solín; José Luis Galán García; Vít Dolejsí; Philipp Neumann; Petr Svácek; Jaroslav Kruis; Volker John (Appl. Math. Comput., 2018)

Numerical simulation of two-phase flow of immiscible fluids by the finite element, discontinuous Galerkin and level-set methods. - Eva Bezchlebová; Vít Dolejsí; Miloslav Feistauer; Petr Svácek (Adv. Comput. Math., 2019)

A goal-oriented anisotropic hp-mesh adaptation method for linear convection-diffusion-reaction problems. - Ondrej Bartos; Vít Dolejsí; Georg May; Ajay Rangarajan; Filip Roskovec (Comput. Math. Appl., 2019)

A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems. - Vít Dolejsí; Georg May; Ajay Rangarajan; Filip Roskovec (SIAM J. Sci. Comput., 2019)

Goal-oriented anisotropic hp-adaptive discontinuous Galerkin method for the Euler equations. - Vít Dolejsí; Filip Roskovec (CoRR, 2020)

Adjoint-based anisotropic hp-adaptation for discontinuous Galerkin methods using a continuous mesh model. - Ajay Rangarajan; Georg May; Vít Dolejsí (J. Comput. Phys., 2020)

On Efficient Numerical Solution of Linear Algebraic Systems Arising in Goal-Oriented Error Estimates. - Vít Dolejsí; Petr Tichý (J. Sci. Comput., 2020)

Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors. - Vít Dolejsí; Ondrej Bartos; Filip Roskovec (Comput. Math. Appl., 2021)

Numerical study of two models for viscous compressible fluid flows. - Vít Dolejsí; Magnus Svärd (J. Comput. Phys., 2021)

A Posteriori Error Estimates for Higher Order Space-Time Galerkin Discretizations of Nonlinear Parabolic Problems. - Vít Dolejsí; Filip Roskovec; Miloslav Vlasák (SIAM J. Numer. Anal., 2021)

An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control. - Vít Dolejsí; Georg May (J. Sci. Comput., 2023)

Goal-oriented error analysis of iterative Galerkin discretizations for nonlinear problems including linearization and algebraic errors. - Vít Dolejsí; Scott Congreve (J. Comput. Appl. Math., 2023)

Non-hydrostatic mesoscale atmospheric modeling by the anisotropic mesh adaptive discontinuous Galerkin method. - Vít Dolejsí (CoRR, 2024)

Error Estimates and Adaptivity of the Space-Time Discontinuous Galerkin Method for Solving the Richards Equation. - Vít Dolejsí; Hyun-Geun Shin; Miloslav Vlasák (J. Sci. Comput., 2024)

Hybrid Schwarz preconditioners for linear systems arising from hp-discontinuous Galerkin method. - Vít Dolejsí; Tomas Hammerbauer (CoRR, 2025)