Journal ArticleDOI
Interpolation theory over curved elements, with applications to finite element methods
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In this article, a general theory for obtaining asymptotic estimates of the form ∥ u − Πu ∥ Hm ( K ) = O ( h k + 1− m ).About:
This article is published in Computer Methods in Applied Mechanics and Engineering.The article was published on 1972-08-01. It has received 247 citations till now. The article focuses on the topics: Mixed finite element method & Sobolev space.read more
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Journal ArticleDOI
Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
M. Crouzeix,P.-A. Raviart +1 more
TL;DR: Both conforming and nonconforming finite element methods are studied and various examples of simplicial éléments well suited for the numerical treatment of the incompressibility condition are given.
Book ChapterDOI
On a Finite Element Method for Solving the Neutron Transport Equation
P. Lesaint,P. A. Raviart +1 more
TL;DR: The finite element method is studied which provides an effective way for numerically solving such problems and an algorithm for computing the approximate solution is given.
Journal ArticleDOI
ISOGEOMETRIC ANALYSIS: APPROXIMATION, STABILITY AND ERROR ESTIMATES FOR h-REFINED MESHES
TL;DR: In this paper, the authors studied the stability properties of Isogeometric Analysis in the context of mesh refinement and developed approximation estimates based on a new Bramble-Hilbert lemma in so-called "bent" Sobolev spaces.
References
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The finite element method in engineering science
TL;DR: In this paper, the authors describe how people search numerous times for their favorite books like this the finite element method in engineering science, but end up in malicious downloads, and instead they cope with some infectious bugs inside their computer.
Journal ArticleDOI
General lagrange and hermite interpolation in Rn with applications to finite element methods
Journal ArticleDOI
Curved, isoparametric, “quadrilateral” elements for finite element analysis
TL;DR: In this article, the theory of a new family of isoparametric elements for use in two-dimensional situations is described, and examples illustrating the accuracy improvement are included in the paper.