Vít Dolejsí

Publication Activity (10 Years)

Years Active: 2001-2024
Publications (10 Years): 21

Top Topics

Numerical Solution

Error Estimates

Top Venues

Comput. Math. Appl.

Appl. Math. Comput.

J. Sci. Comput.

Publications

Vít Dolejsí
Non-hydrostatic mesoscale atmospheric modeling by the anisotropic mesh adaptive discontinuous Galerkin method. CoRR (2024)
Vít Dolejsí, Scott Congreve
Goal-oriented error analysis of iterative Galerkin discretizations for nonlinear problems including linearization and algebraic errors. J. Comput. Appl. Math. 427 (2023)
Vít Dolejsí, Georg May
An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control. J. Sci. Comput. 95 (2) (2023)
Vít Dolejsí, Magnus Svärd
Numerical study of two models for viscous compressible fluid flows. J. Comput. Phys. 427 (2021)
Vít Dolejsí, Ondrej Bartos, Filip Roskovec
Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors. Comput. Math. Appl. 93 (2021)
Vít Dolejsí, Filip Roskovec, Miloslav Vlasák
A Posteriori Error Estimates for Higher Order Space-Time Galerkin Discretizations of Nonlinear Parabolic Problems. SIAM J. Numer. Anal. 59 (3) (2021)
Vít Dolejsí, Petr Tichý
On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates. CoRR (2020)
Vít Dolejsí, Filip Roskovec
Goal-oriented anisotropic hp-adaptive discontinuous Galerkin method for the Euler equations. CoRR (2020)
Vít Dolejsí, Petr Tichý
On Efficient Numerical Solution of Linear Algebraic Systems Arising in Goal-Oriented Error Estimates. J. Sci. Comput. 83 (1) (2020)
Ajay Rangarajan, Georg May, Vít Dolejsí
-adaptation for discontinuous Galerkin methods using a continuous mesh model. J. Comput. Phys. 409 (2020)
Eva Bezchlebová, Vít Dolejsí, Miloslav Feistauer, Petr Svácek
Numerical simulation of two-phase flow of immiscible fluids by the finite element, discontinuous Galerkin and level-set methods. Adv. Comput. Math. 45 (4) (2019)
Vít Dolejsí, Georg May, Ajay Rangarajan, Filip Roskovec
A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems. SIAM J. Sci. Comput. 41 (3) (2019)
Ondrej Bartos, Vít Dolejsí, Georg May, Ajay Rangarajan, Filip Roskovec
A goal-oriented anisotropic hp-mesh adaptation method for linear convection-diffusion-reaction problems. Comput. Math. Appl. 78 (9) (2019)
Pavel Solín, José Luis Galán García, Vít Dolejsí, Philipp Neumann, Petr Svácek, Jaroslav Kruis, Volker John
Recent Advances in Computing. Appl. Math. Comput. 319 (2018)
Vít Dolejsí, Georg May, Filip Roskovec, Pavel Solín
Anisotropic hp-mesh optimization technique based on the continuous mesh and error models. Comput. Math. Appl. 74 (1) (2017)
Eva Bezchlebová, Vít Dolejsí, Miloslav Feistauer
Discontinuous Galerkin method for the solution of a transport level-set problem. Comput. Math. Appl. 72 (3) (2016)
Vít Dolejsí, Pavel Solín
hp-discontinuous Galerkin method based on local higher order reconstruction. Appl. Math. Comput. 279 (2016)
Vít Dolejsí, Alexandre Ern, Martin Vohralík
hp-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems. SIAM J. Sci. Comput. 38 (5) (2016)
Vít Dolejsí, Ivana Sebestová, Martin Vohralík
Algebraic and Discretization Error Estimation by Equilibrated Fluxes for Discontinuous Galerkin Methods on Nonmatching Grids. J. Sci. Comput. 64 (1) (2015)
Vít Dolejsí, Filip Roskovec, Miloslav Vlasák
A Posteriori Error Estimates for Nonstationary Problems. ENUMATH (2015)
Vít Dolejsí
Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs. Appl. Math. Comput. 267 (2015)
Vít Dolejsí, Alexandre Ern, Martin Vohralík
A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems. SIAM J. Numer. Anal. 51 (2) (2013)
Vít Dolejsí
hp-DGFEM for nonlinear convection-diffusion problems. Math. Comput. Simul. 87 (2013)
Vít Dolejsí, M. Holík, Jirí Hozman
Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier-Stokes equations. J. Comput. Phys. 230 (11) (2011)
Vít Dolejsí, Hans-Görg Roos
BDF-FEM for parabolic singularly perturbed problems with exponential layers on layer-adapted meshes in space. Neural Parallel Sci. Comput. 18 (2) (2010)
Vít Dolejsí
On the solution of linear algebraic systems arising from the semi-implicit DGFE discretization of the compressible Navier-Stokes equations. Kybernetika 46 (2) (2010)
Vít Dolejsí, Oto Havle
-Optimality of the IIPG Method for Odd Degrees of Polynomial Approximation in 1D. J. Sci. Comput. 42 (1) (2010)
Miloslav Feistauer, Vít Dolejsí, Václav Kucera, Veronika Sobotíková
)-error estimates for the DGFEM applied to convection-diffusion problems on nonconforming meshes. J. Num. Math. 17 (1) (2009)
Vít Dolejsí, Miloslav Vlasák
Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems. Numerische Mathematik 110 (4) (2008)
Vít Dolejsí, Miloslav Feistauer, Christoph Schwab
On some aspects of the discontinuous Galerkin finite element method for conservation laws. Math. Comput. Simul. 61 (3-6) (2003)
Vít Dolejsí
Anisotropic mesh adaptation technique for viscous flow simulation. J. Num. Math. 9 (1) (2001)