Topic
Finite element exterior calculus
About: Finite element exterior calculus is a research topic. Over the lifetime, 112 publications have been published within this topic receiving 17403 citations.
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TL;DR: In this article, the authors present two families of non-conforming finite elements, built on tetrahedrons or on cubes, which are respectively conforming in the spacesH(curl) and H(div).
Abstract: We present here some new families of non conforming finite elements in ?3. These two families of finite elements, built on tetrahedrons or on cubes are respectively conforming in the spacesH(curl) andH(div). We give some applications of these elements for the approximation of Maxwell's equations and equations of elasticity.
3,049 citations
01 Jan 1974
TL;DR: In this paper, the authors describe a fitting for hose end fittings that is suitable for use in conjunction with a cross-linked polyethylene hose or pipe, where a body incorporating a nipple adapted for insertion in a pipe end and a clamping ring normally retained on the body and adapted for clamping action about the outer surface of said pipe end is described.
Abstract: The present invention is concerned with hose end fittings and has particular reference to fitting suitable for use in conjunction with a cross-linked polyethylene hose or pipe. The characteristic feature of the fitting of the present invention is a body incorporating a nipple adapted for insertion in a pipe end and a clamping ring normally retained on the body and adapted for clamping action about said outer surface of said pipe end, the nipple and ring being contoured on the inner surface to effect an improved clamping action. In a preferred embodiment the nipple may incorporate an annular groove incorporating an O-ring to assist sealing between the nipple and the internal surface of the tube or pipe.
2,298 citations
01 Jan 1975
TL;DR: In this paper, the authors give an elementary proof of a theorem of approximation of Sobolev spaces by fimte éléments without to use classical interpolation, which allows us in some cases to fit boundary conditions.
Abstract: The aim ofthis paper is to give an elementary proof of a theorem of approximation of Sobolev spaces H(Q) by fimte éléments without to use classical interpolation The construction which we give hère allows us in some cases to fit boundary conditions
1,327 citations
TL;DR: These finite elements can be used to approximate the Stokes' system and are introduced as two families of mixed finite element on conforming inH(div) and one conformingInH(curl).
Abstract: We introduce two families of mixed finite element on conforming inH(div) and one conforming inH(curl). These finite elements can be used to approximate the Stokes' system.
1,207 citations