Vít Dolejsí

Orcid: 0000-0001-6356-934X

According to our database1, Vít Dolejsí authored at least 31 papers between 2001 and 2024.

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Bibliography

2024
Error Estimates and Adaptivity of the Space-Time Discontinuous Galerkin Method for Solving the Richards Equation.
J. Sci. Comput., October, 2024

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

2023
Goal-oriented error analysis of iterative Galerkin discretizations for nonlinear problems including linearization and algebraic errors.
J. Comput. Appl. Math., August, 2023

An Anisotropic hp-mesh Adaptation Method for Time-Dependent Problems Based on Interpolation Error Control.
J. Sci. Comput., May, 2023

2021
A Posteriori Error Estimates for Higher Order Space-Time Galerkin Discretizations of Nonlinear Parabolic Problems.
SIAM J. Numer. Anal., 2021

Numerical study of two models for viscous compressible fluid flows.
J. Comput. Phys., 2021

Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors.
Comput. Math. Appl., 2021

2020
On Efficient Numerical Solution of Linear Algebraic Systems Arising in Goal-Oriented Error Estimates.
J. Sci. Comput., 2020

Adjoint-based anisotropic <i>hp</i>-adaptation for discontinuous Galerkin methods using a continuous mesh model.
J. Comput. Phys., 2020

Goal-oriented anisotropic hp-adaptive discontinuous Galerkin method for the Euler equations.
CoRR, 2020

2019
A Goal-Oriented High-Order Anisotropic Mesh Adaptation Using Discontinuous Galerkin Method for Linear Convection-Diffusion-Reaction Problems.
SIAM J. Sci. Comput., 2019

A goal-oriented anisotropic hp-mesh adaptation method for linear convection-diffusion-reaction problems.
Comput. Math. Appl., 2019

Numerical simulation of two-phase flow of immiscible fluids by the finite element, discontinuous Galerkin and level-set methods.
Adv. Comput. Math., 2019

2018
Recent Advances in Computing.
Appl. Math. Comput., 2018

2017
Anisotropic hp-mesh optimization technique based on the continuous mesh and error models.
Comput. Math. Appl., 2017

2016
hp-Adaptation Driven by Polynomial-Degree-Robust A Posteriori Error Estimates for Elliptic Problems.
SIAM J. Sci. Comput., 2016

Discontinuous Galerkin method for the solution of a transport level-set problem.
Comput. Math. Appl., 2016

hp-discontinuous Galerkin method based on local higher order reconstruction.
Appl. Math. Comput., 2016

2015
Algebraic and Discretization Error Estimation by Equilibrated Fluxes for Discontinuous Galerkin Methods on Nonmatching Grids.
J. Sci. Comput., 2015

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

A Posteriori Error Estimates for Nonstationary Problems.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2013
A Framework for Robust A Posteriori Error Control in Unsteady Nonlinear Advection-Diffusion Problems.
SIAM J. Numer. Anal., 2013

hp-DGFEM for nonlinear convection-diffusion problems.
Math. Comput. Simul., 2013

2011
Efficient solution strategy for the semi-implicit discontinuous Galerkin discretization of the Navier-Stokes equations.
J. Comput. Phys., 2011

2010
BDF-FEM for parabolic singularly perturbed problems with exponential layers on layer-adapted meshes in space.
Neural Parallel Sci. Comput., 2010

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

The <i>L</i><sup>2</sup>-Optimality of the IIPG Method for Odd Degrees of Polynomial Approximation in 1D.
J. Sci. Comput., 2010

2009
L<sup>∞</sup> (L<sup>2</sup>)-error estimates for the DGFEM applied to convection-diffusion problems on nonconforming meshes.
J. Num. Math., 2009

2008
Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems.
Numerische Mathematik, 2008

2003
On some aspects of the discontinuous Galerkin finite element method for conservation laws.
Math. Comput. Simul., 2003

2001
Anisotropic mesh adaptation technique for viscous flow simulation.
J. Num. Math., 2001


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