4 papers · 1 filter
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…
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…