Výsledky vyhledávání - "Dolejsí, Vit"

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Non-hydrostatic mesoscale atmospheric modeling by the anisotropic mesh adaptive discontinuous Galerkin method

Autor: Dolejsi, Vit

We deal with non-hydrostatic mesoscale atmospheric modeling using the fully implicit space-time discontinuous Galerkin method in combination with the anisotropic $hp$-mesh adaptation technique. The time discontinuous approximation allows the treatmen

Externí odkaz: http://arxiv.org/abs/2401.10662

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Goal-oriented error analysis of iterative Galerkin discretizations for nonlinear problems including linearization and algebraic errors

Autor: Dolejsi, Vit, Congreve, Scott

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 consider, instead of the differentiation of the primal problem, a suitable l

Externí odkaz: http://arxiv.org/abs/2301.09459

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Goal-oriented anisotropic $hp$-adaptive discontinuous Galerkin method for the Euler equations

Autor: Dolejsi, Vit, Roskovec, Filip

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 adaptivity. We analyze the adjoint consistency of the DG scheme where t

Externí odkaz: http://arxiv.org/abs/2007.06840

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On efficient numerical solution of linear algebraic systems arising in goal-oriented error estimates

Autor: Dolejší, Vít, Tichý, Petr

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 inaccurate solution of the corresponding algebraic systems. The goal-oriented

Externí odkaz: http://arxiv.org/abs/2001.01929

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