In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang (Math. Comp. 54(1990)190, 483--493) are discussed. The modified operators are defined for non-smooth functions and are suited for the application on anisotropic meshes. The anisotropy of the elements is reflected in the local stability and approximation error estimates. As an application, an example is considered where anisotropic finite element meshes are appropriate, namely the Poisson problem in domains with edges
International audienceInterpolation operators are important for many applications in scientific comp...
An interpolant defined via moments is investigated for triangles, quadrilaterals, tetrahedra, and he...
This paper is concerned with a specific finite element strategy for solving elliptic boundary value ...
In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang (Math. C...
. In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang (Math....
The paper deals with a non-conforming finite element method on a class of anisotropic meshes. The Cr...
Interpolation and quasi-interpolation operators of Clément- and Scott-Zhang-type are analyzed on ani...
The paper is concerned with the finite element solution of the Poisson equation with homogeneous Dir...
Anisotropic local interpolation error estimates are derived for quadrilateral and hexahedral Lagrang...
Abstract. The paper is concerned with the finite element solution of the Poisson equation with ho-mo...
Crouzeix-Raviart type nite elements on anisotropic meshes Preprint SFB393/99-10 Abstract The paper d...
. This paper is concerned with the anisotropic singular behaviour of the solution of elliptic bounda...
Interpolation estimates for finite elements are studied where the elements may have small or even la...
This paper is concerned with the anisotropic singular behaviour of the solution of elliptic boun...
Abstract. In this paper we prove error estimates for a piecewise Q1 average interpolation on anisotr...
International audienceInterpolation operators are important for many applications in scientific comp...
An interpolant defined via moments is investigated for triangles, quadrilaterals, tetrahedra, and he...
This paper is concerned with a specific finite element strategy for solving elliptic boundary value ...
In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang (Math. C...
. In this paper, several modifications of the quasi-interpolation operator of Scott and Zhang (Math....
The paper deals with a non-conforming finite element method on a class of anisotropic meshes. The Cr...
Interpolation and quasi-interpolation operators of Clément- and Scott-Zhang-type are analyzed on ani...
The paper is concerned with the finite element solution of the Poisson equation with homogeneous Dir...
Anisotropic local interpolation error estimates are derived for quadrilateral and hexahedral Lagrang...
Abstract. The paper is concerned with the finite element solution of the Poisson equation with ho-mo...
Crouzeix-Raviart type nite elements on anisotropic meshes Preprint SFB393/99-10 Abstract The paper d...
. This paper is concerned with the anisotropic singular behaviour of the solution of elliptic bounda...
Interpolation estimates for finite elements are studied where the elements may have small or even la...
This paper is concerned with the anisotropic singular behaviour of the solution of elliptic boun...
Abstract. In this paper we prove error estimates for a piecewise Q1 average interpolation on anisotr...
International audienceInterpolation operators are important for many applications in scientific comp...
An interpolant defined via moments is investigated for triangles, quadrilaterals, tetrahedra, and he...
This paper is concerned with a specific finite element strategy for solving elliptic boundary value ...