V. Dolejsi, M. Feistauer: Discontinuous Galerkin Method - Analysis and Applications to Compressible Flow, Springer-Verlag, 2015. link
V. Dolejší, H.G. Shin, M. Vlasák: Error Estimates and Adaptivity of the Space-Time Discontinuous Galerkin Method for Solving the Richards Equation. J Sci Comput 101, 11, 2024 article
V. Dolejsi, G. May: An anisotropic hp-mesh adaptation method for time-dependent problems based on interpolation error control, J. Sci. Comput. 95, 36, 2023 article
V. Dolejsi, O. Bartos, F. Roskovec: Goal-oriented mesh adaptation method for nonlinear problems including algebraic errors, Computers and Mathematics with Applications 93: 178-198, 2021 article
V. Dolejsi, M. Svard: Numerical study of two models for viscous compressible fluid flows, J. Comput. Phys. 427: 110068, 2021 article
V. Dolejsi, M. Kuraz, P. Solin: Numerical simulation of a single ring infiltration experiment with hp-adaptive space-time discontinuous Galerkin method, Acta Polytechnica, 61(Special Issue), pp. 59–67, 2021 article
V. Dolejsi, P. Tichy: On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates, J. Sci. Comput. 83 5, 2020 article
O. Bartos, V. Dolejsi, G. May, A. Rangarajan, F. Roskovec: A goal-oriented anisotropic
hp-mesh adaptation method for linear convection-diffusion-reaction problems,
Computers & Mathematics with Applications, 78(9): 2973-2993, 2019
article
E. Bezchlebova, V. Dolejsi, M. Feistauer, P. Svacek: Numerical simulation of two-phase flow of immiscible fluids by the finite element, discontinuous Galerkin and level-set methods,
Advances in Computational Mathematematics 45(4):1993-2018, 2019.
article
V. Dolejsi, J. Felcman, P. Kubera: FV-DG method for the pedestrian flow problem,
Comput. Fluids 183:1-15, 2019
article
V. Dolejsi, M. Kuraz, P. Solin: Adaptive higher-order space-time discontinuous Galerkin
method for the computer simulation of variably-saturated porous media flows,
Applied Mathematical Modelling 72:276-305, 2019 article
A. Rangarajan, A. Chakraborty, V. Dolejsi, G. May:
A continuous-mesh optimization technique for piecewise polynomial
approximation on tetrahedral grids, AIAA paper 2018-3246, 2018.
article
V. Dolejsi, G. May, F. Roskovec, P. Solin:
Anisotropic hp-mesh optimization technique based on the continuous mesh
and error models, Comput. Math. Appl., 74:45-63, 2017.
preprint
article
A. Rangarajan, G. May, V. Dolejsi:
Adjoint-based anisotropic mesh adaptation for discontinuous Galerkin methods using a continuous mesh
model, AIAA paper 2017-3100, 2017
article
E. Bezchlebova, V. Dolejsi, M. Feistauer: Discontinuous Galerkin method for the solution of a transport level-set problem,
Comput. Math. Appl. 72(3):455-480, 2016.
article
V. Dolejsi, A. Ern and M. Vohralik:
hp-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems,
SIAM J. Sci. Comput. 38(5):A3220-A3246, 2016.
preprint
article
V. Dolejsi: Anisotropic hp-adaptive discontinuous Galerkin method for
the numerical solution of time dependent PDEs, Appl. Math. Comput.,
267:682-697, 2015
preprint
article
V. Dolejsi, F. Roskovec and M. Vlasak:
Residual based error estimates for the space-time discontinuous Galerkin method
applied to the compressible flows, Comput. Fluids 117:404-324, 2015
preprint
article
V. Dolejsi, I. Sebestova, M. Vohralik:
Algebraic and Discretization Error Estimation by Equilibrated Fluxes for
Discontinuous Galerkin Methods on Nonmatching Grids,
J. Sci. Comput., 64(1): 1-34, 2015
preprint
article
V. Dolejsi, A. Ern and M. Vohralik:
A framework for robust a posteriori error control in unsteady nonlinear
advection-diffusion problems, SIAM J. Numer. Anal.,
51(2): 773-793, 2013.
preprint
article
V. Dolejsi:
A design of residual error estimates for a high order BDF-DGFE method
applied to compressible flows,
Int. J. Numer. Methods Fluids 73(6):523-559, 2013
preprint
article
M. Vlasak, V. Dolejsi, J. Hajek:
A priori error estimates of extrapolated space-time discontinuous
Galerkin method for nonlinear convection-diffusion problem,
Numer. Meth. Partial Diff. Eqs., 27(6):1456-1482, 2011
V. Dolejsi, H.-G. Roos:
BDF-FEM for parabolic singularly perturbed problems with
exponential layers on layer-adapted meshes in space.
Neural Parallel Sci. Comput. 18(2): 221-235, 2010
V. Dolejsi, M. Feistauer, V. Kucera, V. Sobotikova: An optimal
L{infty}(L2) -error estimate
for the discontinuous Galerkin approximation of a nonlinear non-stationary
convection-diffusion problem, IMA J. Numer. Anal. 28 (3):496-521, 2008
pdf file
V. Dolejsi, T. Gallouet: A numerical solution of particular nonconservative hyperbolic problem,
Comput. Fluids 37:1077-1091, 2008
pdf file
V. Dolejsi: Analysis and application of IIPG method to quasilinear nonstationary convection-diffusion problems,
J. Comp. Appl. Math. 222:251-273, 2008
article
V. Dolejsi: Semi-implicit Interior Penalty Discontinuous Galerkin Met
hods for Viscous Compressible Flows, Commun. Comput. Phys. 4(2): 231-274, 2008
pdf file
V. Dolejsi, M. Vlasak: Analysis of a BDF - DGFE scheme for nonlinear
convection-diffusion problems, Numer. Math., 110:405-447, 2008
pdf file
V. Dolejsi, M. Feistauer: Error estimates of the discontinuous
Galerkin method for nonlinear nonstationary convection-diffusion
problems 26(3): 349-383, 2005. ps file
V. Dolejsi, M. Feistauer: A Semi-Implicit Discontinuous Galerkin
Finite Element Method for the Numerical Solution of Inviscid Compressible Flow,
J. Comp. Phys. 198(2): 727-746, 2004.
pdf file
V. Dolejsi, M. Feistauer: On the Discontinuous Galerkin Method for the
Numerical Solution of Compressible High-Speed Flow Proceeding of ENUMATH'01 conference,
In F. Brezzi, A. Buffa, S. Corsaro, A. Murli (eds): Numerical Mathematics and Advanced Applications, ENUMATH 2001,
pages 65-84, Springer-Verlag, Italia, 2003. ps file
V. Dolejsi, M. Feistauer, C. Schwab: A Finite Volume Discontinuous
Galerkin Scheme for Nonlinear Convection-Diffusion Problems Calcolo 39 : 1-40, 2002.
ps file
V. Dolejsi, M.Feistauer, J. Felcman: Algebraic turbulence models for unstructured meshes
(unpublished) ps file
P. Angot, V. Dolejsi, M.Feistauer, J. Felcman: Analysis of a Combined Barycentric Finite
Volume - Nonconforming Finite Element Method for Nonlinear Convection - Diffusion Problems,
Aplications of Mathematics, 43(4):263-310, 1998.
ps file
J. Felcman and V. Dolejsi: Investigation of order of
accuracy for higher order schemes for finite volumes method on triangular
meshes, Journal of Engineering Mechanics,
5: 327-337, 1998.
ps file
V. Dolejsi: Adaptive higher order methods for compressible flow ,
Habilitation Thesis, Charles University Prague, 2003. ps file
V. Dolejsi: Combined finite volume - finite
element methods for compressible flow on unstructured meshes
Doctoral Thesis, Charles University Prague, 1998.
ps file
2018
V. Dolejsi, G. May, A. Rangarajan:
A continuous hp-mesh model for adaptive discontinuous Galerkin schemes
Appl. Numer. Math., 124:1-24, 2018.
article
2017
V. Dolejsi, F. Roskovec:
Goal-oriented error estimates including algebraic errors in
discontinuous Galerkin discretizations of linear boundary value problems,
Applications of Mathematics 62(6):579-605, 2017
article
2016
V. Dolejsi, P. Solin: hp-discontinuous Galerkin method based on
local higher order reconstruction, Appl. Math. Comput. 279:219-235, 2016.
preprint
article
2015
V. Dolejsi: Anisotropic hp-adaptive method based on
interpolation error estimates in the H1-seminorm
Applications of Mathematics 60(6):697-616, 2015
preprint
article
2014
V. Dolejsi:
Anisotropic hp-adaptive method based on interpolation error
estimates in the Lq-norm, Appl. Numer. Math.,
82: 80-114, 2014
preprint
article
2013
V. Dolejsi:
hp-DGFEM for nonlinear convection-diffusion problems,
Math. Comput. Simul. 87:87-118, 2013.
preprint
article
2012
2011
V. Dolejsi, M. Holik, J. Hozman:
Efficient solution strategy for the semi-implicit discontinuous
Galerkin discretization of the Navier-Stokes equations,
J. Comput. Phys. 230(11): 4176-4200, 2011.
2010
V. Dolejsi, O. Havle:
The $L^2$-optimality of the IIPG method for odd degrees of
polynomial approximation in 1D,
J. Sci. Comput., 42(1):122-143, 2010.
2009
M. Feistuaer, V. Dolejsi, V. Kucera, V. Sobotikova:
$L^{\infty}(L^2)$-error estimates for the DGFEM applied to
convection-diffusion problems on nonconforming meshes,
J. Numer. Math., 17(1):45-65, 2009.
2008
V. Dolejsi, P. Kus: Adaptive backward difference formula - Discontinuous Galerkin
finite element method for the solution of conservation laws,
Int. J. Numer. Meth. Engng. 73(12): 1739-1766, 2008
pdf file 2007
V. Dolejsi, M. Feistauer, J. Hozman:
Analysis of semi-implicit DGFEM for nonlinear convection-diffusion problems on non-conforming meshes,
Comput. Methods Appl. Mech. Engrg., 196 2813-2827, 2007
pdf file 2006
M. Breuss, V. Dolejsi and A. Meister. On an adaptive method for heat conduction
problems with boundary layers,
ZAMM 86 (6), 450-463, 2006.
pdf file 2005
V. Dolejsi, M. Feistauer, V. Sobotikova: Analysis of the Discontinuous Galerkin
Method for Nonlinear Convection-Diffusion Problems
Comput. Methods Appl. Mech. Eng. 194: 2709-2733, 2005.
ps file 2004
V. Dolejsi: On the Discontinuous Galerkin Method
for the Numerical Solution of the Euler and the Navier-Stokes Equations
Int. J. Numer. Methods Fluids 45: 1083--1106, 2004.
pdf file 2003
V. Dolejsi, M. Feistauer, C. Schwab:
On some aspects of the Discontinuous Galerkin finite element method for conservation laws
Mathematics and Computers in Simulation 61: 333--346, 2003
ps file 2002
V. Dolejsi, M. Feistauer, C. Schwab: On Discontinuous Galerkin Methods
for Nonlinear Convection-Diffusion Problems and Compressible Flow
Mathematica Bohemica, 127(2):163-179, 2002.
ps file 2001
V. Dolejsi: Anisotropic Mesh Adaptation Technique for Viscous Flow Simulation
East-West Journal of Numerical Mathematics, 9(1):1-24,2001.
ps file 1998
V. Dolejsi: Anisotropic mesh adaptation for finite volume and
finite element methods on triangular meshes, Computing and Visualisation in Science, 1:165-178, 1998.
ps filee 1996
M.Feistauer, J. Felcman, V. Dolejsi:
Numerical Simulation of Compressible Viscous Flow through Cascades of Profiles
ZAMM, 76:301-304, 1996. ps file THESIS
V. Dolejsi: Anisotropic mesh adaptation method for
compressible flow, part of the habilitation thesis, 2003,
ps file