Cubic Lagrange elements satisfying exact incompressibility
نویسندگان
چکیده
منابع مشابه
Exact Linearization and Discretization of Nonlinear Systems Satisfying a Lagrange Pde Condition
A sufficient condition for exact linearization of a nonlinear system via an exponential transformation is obtained as a Lagrange partial differential equation. When its solution can be found, the transformation is determined such that the nonlinear systemis exactly converted into a linear system with arbitrary dynamics. When the transformation is invertible, this technique can be applied to exa...
متن کاملPolynomial Invariants of Links Satisfying Cubic Skein Relations
The aim of this paper is to define two link invariants satisfying cubic skein relations. In the hierarchy of polynomial invariants determined by explicit skein relations they are the next level of complexity after Jones, HOMFLY, Kauffman and Kuperberg’s G2 quantum invariants. Our method consists in the study of Markov traces on a suitable tower of quotients of cubic Hecke algebras extending Jon...
متن کاملLocal Lagrange Interpolation by Bivariate C 1 Cubic Splines
Lagrange interpolation schemes are constructed based on C 1 cubic splines on certain triangulations obtained from checkerboard quad-rangulations. x1. Introduction Given a triangulation 4 of a simply connected polygonal domain , the space of C 1 cubic splines is deened by S 1 3 (4) := fs 2 C 1 (() : sj T 2 P 3 , all T 2 4g; where P 3 is the space of cubic bivariate polynomials. In this paper we ...
متن کاملLocal Lagrange Interpolation With Cubic C Splines on Tetrahedral Partitions
We describe an algorithm for constructing a Lagrange interpolation pair based on C cubic splines defined on tetrahedral partitions. In particular, given a set of points V ∈ IR, we construct a set P containing V and a spline space S 3 (△) based on a tetrahedral partition △ whose set of vertices include V such that interpolation at the points of P is well-defined and unique. Earlier results are e...
متن کاملLagrange geometric interpolation by rational spatial cubic Bézier curves
In the paper, the Lagrange geometric interpolation by spatial rational cubic Bézier curves is studied. It is shown that under some natural conditions the solution of the interpolation problem exists and is unique. Furthermore, it is given in a simple closed form which makes it attractive for practical applications. Asymptotic analysis confirms the expected approximation order, i.e., order six. ...
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: The SMAI journal of computational mathematics
سال: 2018
ISSN: 2426-8399
DOI: 10.5802/smai-jcm.38