In this paper, we deal with adaptive refinement in numerical simulation of incompressible
flow solved by isogeometric analysis. We study various error estimators and compare them …

The purpose of this thesis is the analysis and the development of low-cost numerical tools.
The first chapter is a review on Non-Intrusive Reduced Basis methods (NIRB) studied during …

Abstract The Stokes–Brinkman equations model flow in heterogeneous porous media by
combining the Stokes and Darcy models of flow into a single system of equations. With …

Within the framework of the finite element method problems with corner‐like singularities (eg
on the well‐known L‐shaped domain) are most often solved by the adaptive strategy: the …

A new vortex-identification method has been recently proposed, named as Triple
Decomposition Method (TDM). By decomposing the local motion of a fluid into straining …

We consider three problems related to the numerical solution of the Stokes-Brinkman
equations, which model flow through porous media. We first study and apply residual-based …

This paper focuses on the non-intrusive reduced basis (NIRB) method called the\textit {two
grids method}. It is used for the simulation of parametric partial differential equations to …

ApplMath 2012 Page 1 ApplMath 2012 Pavel Burda; Jaroslav Novotný; Jakub Šístek
Analytical solution of Stokes flow near corners and applications to numerical solution of …

The problem of singularities caused by boundary conditions is studied on the flow in lid
driven cavity. The asymptotic behaviour of pressure near the singularity locations is used …

Stabilization of the finite element method for flow problems at high Reynolds numbers is the
main subject of presented research. The semiGLS method is recalled as a modification of …