Eric Dubach

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The aim of this paper is to present a new class of finite elements on quadrilaterals where the approximation is polynomial on each element K. In the case of Lagrange finite elements, the degrees of freedom are the values at the vertices and in the case of mixed finite elements the degrees of freedom are the mean values of the fluxes on each side. The degres(More)
The aim of this paper is to develop a new class of finite elements on quadrilaterals and hexahedra. The degrees of freedom are the values at the vertices and the approximation is polynomial on each element K. In general, with this kind of finite elements, the resolution of second order elliptic problems leads to non-conforming approximations.Degrees of(More)
The aim of this paper is to present a new class of mixed finite elements on quadrilaterals and hexahedra where the approximation is polynomial on each element K. The degrees of freedom are the same as those of classical mixed finite elements. However, in general, with this kind of finite elements, the resolution of second order elliptic problems leads to(More)
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