6 papers
Adaptive domain decomposition method for time-dependent problems with applications in fluid dynamics
Vit Dolejsi, Jakub Sistek
We deal with the numerical solution of the time-dependent partial differential equations using the adaptive space-time discontinuous Galerkin (DG) method. The discretization leads…
Hybrid Schwarz preconditioners for linear systems arising from hp-discontinuous Galerkin method
Vit Dolejsi, Tomas Hammerbauer
We deal with the numerical solution of linear elliptic problems with varying diffusion coefficient by the -discontinuous Galerkin method. We develop a two-level hybrid Schwarz…
Non-hydrostatic mesoscale atmospheric modeling by the anisotropic mesh adaptive discontinuous Galerkin method
Vit Dolejsi
We deal with non-hydrostatic mesoscale atmospheric modeling using the fully implicit space-time discontinuous Galerkin method in combination with the anisotropic -mesh adaptati…
Goal-oriented error analysis of iterative Galerkin discretizations for nonlinear problems including linearization and algebraic errors
Vit Dolejsi, Scott Congreve
We consider the goal-oriented error estimates for a linearized iterative solver for nonlinear partial differential equations. For the adjoint problem and iterative solver we consid…
Goal-oriented anisotropic -adaptive discontinuous Galerkin method for the Euler equations
Vit Dolejsi, Filip Roskovec
We deal with the numerical solution of the compressible Euler equations with the aid of the discontinuous Galerkin (DG) method with focus on the goal-oriented error estimates and a…
On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates
Vít Dolejší, Petr Tichý
We deal with the numerical solution of linear partial differential equations (PDEs) with focus on the goal-oriented error estimates including algebraic errors arising by an inaccur…