Some pre-computed universal numeric arrays for linear convex quadrilateral finite elements
نویسندگان
چکیده
منابع مشابه
Alternative Approach of Numerical Integration for Rational Functions Related to Linear Convex Quadrilateral Finite Elements
In this paper we investigate some integration formulae of rational functions having bivariate n-th degree polynomial numerators with bivariate linear denominators. All the integrals are evaluated exactly by a novel technique based onthe combined use of the well-known parts of integration and the higher order partial differentiationof bivariate polynomialnumerators. The integrationis accomplishe...
متن کاملNew Quadrilateral Mixed Finite Elements
In this paper, we introduce a new family of mixed finite element spaces of higher order (k ≥ 1) on general quadrilateral grids. A typical element has two fewer degrees of freedom than the well-known RaviartThomas finite element RT[k], yet enjoys an optimal-order approximation for the velocity in L 2-norm. The order of approximation in the divergence norm is one less than the velocity, as is com...
متن کاملQuadrilateral H(div) Finite Elements
We consider the approximation properties of quadrilateral finite element spaces of vector fields defined by the Piola transform, extending results previously obtained for scalar approximation. The finite element spaces are constructed starting with a given finite dimensional space of vector fields on a square reference element, which is then transformed to a space of vector fields on each conve...
متن کاملApproximation by quadrilateral finite elements
We consider the approximation properties of finite element spaces on quadrilateral meshes. The finite element spaces are constructed starting with a given finite dimensional space of functions on a square reference element, which is then transformed to a space of functions on each convex quadrilateral element via a bilinear isomorphism of the square onto the element. It is known that for affine...
متن کاملA Class of Nonconforming Quadrilateral Finite Elements for Incompressible Flow∗
This paper focuses on the low-order nonconforming rectangular and quadrilateral finite elements approximation of incompressible flow. Beyond the previous research works [9, 8, 4], we propose a general strategy to construct the basis functions. Under several specific constraints, the optimal error estimates are obtained, i.e. the first order accuracy of the velocities in H-norm and the pressure ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Finite Elements in Analysis and Design
سال: 2001
ISSN: 0168-874X
DOI: 10.1016/s0168-874x(01)00053-1