Error estimates for 3-d narrow finite elements
نویسندگان
چکیده
منابع مشابه
Error estimates for 3-d narrow finite elements
We obtain error estimates for finite element approximations of the lowest degree valid uniformly for a class of three-dimensional narrow elements. First, for the Lagrange interpolation we prove optimal error estimates, both in order and regularity, in Lp for p > 2. For p = 2 it is known that this result is not true. Applying extrapolation results we obtain an optimal order error estimate for fu...
متن کاملError estimates for least-squares mixed finite elements
A least-squar es mixed finite element method is formulated and applied foi a c lass of second ofdei elhptic problems in two and three dimensionaï domains The pi imaty solution u and the flux a are approximated usmg finite element spaces consisting of piecewise polynomials of de grée k and r respectively The method is nonconforming in the sensé that the boundary condition for the flux approximat...
متن کاملError estimates for anisotropic finite elements and applications
The finite element method is one of the most frequently used techniques to approximate the solution of partial differential equations. It consists in approximating the unknown solution by functions which are polynomials on each element of a given partition of the domain, made of triangles or quadrilaterals (or their generalizations to higher dimensions). A fundamental problem is to estimate the...
متن کاملError 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 کاملA posteriori error estimates of stabilized low-order mixed finite elements for the Stokes eigenvalue problem
In this paper we obtain a priori and a posteriori error estimates for stabilized loworder mixed finite element methods for the Stokes eigenvalue problem. We prove the convergence of the method and a priori error estimates for the eigenfunctions and the eigenvalues. We define an error estimator of the residual type which can be computed locally from the approximate eigenpair and we prove that, u...
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: Mathematics of Computation
سال: 1999
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-99-00994-1