Anisotropic interpolation error estimate for arbitrary quadrilateral isoparametric elements
نویسندگان
چکیده
منابع مشابه
Error Estimates for Low-Order Isoparametric Quadrilateral Finite Elements for Plates
This paper deals with the numerical approximation of the bending of a plate modeled by Reissner-Mindlin equations. It is well known that, in order to avoid locking, some kind of reduced integration or mixed interpolation has to be used when solving these equations by finite element methods. In particular, one of the most widely used procedures is based on the family of elements called MITC (mix...
متن کاملAn inverse transformation for quadrilateral isoparametric elements" Analysis and application
The coordinate transformation for quadrilateral isoparametric elements is well-defined in the finite element literature. However, a corresponding inverse transformation is not found. In fact, it has been commonly believed that no explicit solutions to the inverse transformation problem exist. This paper shows that if geometric considerations are used, a complete set of general solutions to the ...
متن کاملInterpolation Error Estimates for Edge Elements on Anisotropic Meshes
The classical error analysis for the Nédélec edge interpolation requires the so-called regularity assumption on the elements. However, in [18], optimal error estimates were obtained for the lowest order case, under the weaker hypothesis of the maximum angle condition. This assumption allows for anisotropic meshes that become useful, for example, for the approximation of solutions with edge sing...
متن کاملInterpolation error estimates in W1, p for degenerate Q1 isoparametric elements
For convex quadrilateral elements and 1 ≤ p, the usual W 1,p error estimate for the Q1 isoparametric Lagrange interpolation, called hereafter Q, reads ‖u−Qu‖Lp(K) + h|u−Qu|1,p,K ≤ Ch|u|2,p,K (1) where h denotes the diameter of K. Two facts, about (1), are well known: the convexity of K is a sufficient condition to get the estimate ‖u−Qu‖Lp(K) ≤ Ch|u|2,p,K with C bounded independently on the sha...
متن کاملError bounds for anisotropic RBF interpolation
We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth function and do not contain unknown constants. For polyharmonic basic functions in R we show that the anisotropic estimates predict a significant improvement of the approximation error if both the target function and the...
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: Numerische Mathematik
سال: 2019
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-019-01061-7