Keywords:
- a posteriori error estimate
- a priori error estimates
- Algebraic error
- compressible Navier-Stokes equations
- differential equations
- discontinuous Galerkin finite element method
- Discontinuous Galerkin method
- experimental order of convergence
- Flux reconstruction
- hp-Discontinuous Galerkin finite element method
- Linear diffusion problems
- nonlinear
- nonlinear convection-diffusion equation
- numerical analysis
- partial differential equations
- Regularity estimator
- Residuum-nonconformity indicator
- semi-implicit scheme
- space-time discontinuous Galerkin finite element method
- Stopping crite ria
Publications of Dolejší, Vít
2016
| , and , $hp$-adaptation driven by polynomial-degree-robust a posteriori error estimates for elliptic problems (2016), in: SIAM Journal on Scientific Computing, 38:5(A3220–A3246) |
[DOI] |
| , and , A posteriori error estimates for nonstationary problems, in: Numerical mathematics and advanced applications -- ENUMATH 2015. Selected papers based on the presentations at the European conference, Ankara, Turkey, September 14--18, 2015, pages 225-233, Cham: Springer, 2016 |
[DOI] |
| , and , On a posteriori error estimates for space-time discontinuous Galerkin method, in: Proceedings of the Conference Algoritmy 2016, pages 125-134, Publishing House of Slovak University of Technology in Bratislava, 2016 |
[URL] |
2015
| , and , Algebraic and discretization error estimation by equilibrated fluxes for discontinuous Galerkin methods on nonmatching grids (2015), in: Journal of Scientific Computing, 64:1(1–34) |
[DOI] |
| , Anisotropic hp-adaptive discontinuous Galerkin method for the numerical solution of time dependent PDEs (2015), in: Applied Mathematics and Computation |
[DOI] |
| , and , Residual based error estimates for the space-time discontinuous Galerkin method applied to the compressible flows (2015), in: Comput. Fluids, 117(304-324) |
[DOI] |
2013
| , A design of residual error estimates for a high order BDF-DGFEM applied to the compressible flows, 2013 |
|
| , hp-DGFEM for nonlinear convection-diffusion problems (2013), in: Mathematics and Computers in Simulation, 87(87-118) |
[DOI] |
2011
| , and , A priori error estimates of an extrapolated space-time discontinuous galerkin method for nonlinear convection-diffusion problems (2011), in: Numerical Methods for Partial Differential Equations, 27:6(1456--1482) |
[DOI] |
2010
| and , Implicit–Explicit Backward Difference Formulae Discontinuous Galerkin Finite Element Methods for Convection–Diffusion Problems, in: Numerical Mathematics and Advanced Applications 2009, pages 921-928, Springer Berlin Heidelberg, 2010 |
[DOI] |
2009
| , , and , Semi-Implicit Solution of the Convection-Diffusion Problems with Applications in Fluid Dynamics, pages 1200-1203, AIP, 2009 |
[DOI] [URL] |
2008
| , , and , An optimal {$L^\infty(L^2)$}-error estimate for the discontinuous {G}alerkin approximation of a nonlinear non-stationary convection-diffusion problem (2008), in: IMA J. Numer. Anal., 28:3(496--521) |
[DOI] [URL] |
| and , Analysis of a BDF-DGFE scheme for nonlinear convection-diffusion problems (2008), in: Numerische Mathematik, 110:4(405--447) |
[DOI] [URL] |
| and , Implicit-Explicit Runge-Kutta discontinuous Galerkin finite element method for convection-diffusion problems, in: Numerical Mathematics and Advanced Applications, proceedings of ENUMATH conference 2007, Graz Austria, pages 355-362, Springer, 2008 |
2006
| , Numerical simulation of compressible flows with the aid of the BDF - DGFE scheme, in: Recent Progress in Computational Science and Engineering, ICCSME 2006, pages 137--140, Koninklijke Brill NV, 2006 |