Numerische Simulation Auf Massiv Parallelen Rechnern Stability of Discretizations of the Stokes Problem on Anisotropic Meshes

Numerische Simulation Auf Massiv Parallelen Rechnern Interpolation of Non-smooth Functions on Anisotropic Nite Element Meshes

In this paper, several modiications of the quasi-interpolation operator of Scott and Zhang (Math. Comp. 54(1990)190, 483{493) are discussed. The modiied operators are deened for non-smooth functions and are suited for the application on anisotropic meshes. The anisotropy of the elements is reeected in the local stability and approximation error estimates. As an application, an example is consid...

Numerische Simulation Auf Massiv Parallelen Rechnern Domain Decomposition for Isotropic and Anisotropic Elliptic Problems Preprint-reihe Des Chemnitzer Sfb 393

Numerische Simulation auf massiv parallelen Rechnern

The paper deals with a singularly perturbed reaction diffusion model problem. The focus is on reliable a posteriori error estimators for the H1 seminorm that can be applied to anisotropic finite element meshes. A residual error estimator and a local problem error estimator are proposed and rigorously analysed. They are locally equivalent, and both bound the error reliably. Furthermore three mod...

Numerische Simulation auf massiv parallelen Rechnern

Numerische Simulation Auf Massiv Parallelen Rechnern Crouzeix-raviart Type Nite Elements on Anisotropic Meshes

The paper deals with a non-conforming nite element method on a class of anisotropic meshes. The Crouzeix-Raviart element is used on triangles and tetrahedra. For rectangles and prismatic (pentahedral) elements a novel set of trial functions is proposed. Anisotropic local interpolation error estimates are derived for all these types of element and for functions from classical and weighted Sobole...