Weighted overconstrained least-squares mixed finite elements for hyperelasticity
نویسندگان
چکیده
منابع مشابه
Superconvergence of Least-squares Mixed Finite Elements
In this paper we consider superconvergence and supercloseness in the least-squares mixed finite element method for elliptic problems. The supercloseness is with respect to the standard and mixed finite element approximations of the same elliptic problem, and does not depend on the properties of the mesh. As an application, we will derive more precise a priori bounds for the least squares mixed ...
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 کاملNonconforming elements in least-squares mixed finite element methods
In this paper we analyze the finite element discretization for the first-order system least squares mixed model for the second-order elliptic problem by means of using nonconforming and conforming elements to approximate displacement and stress, respectively. Moreover, on arbitrary regular quadrilaterals, we propose new variants of both the rotated Q1 nonconforming element and the lowest-order ...
متن کاملMultilevel Boundary Functionals for Least-squares Mixed Finite Element Methods
For least-squares mixed nite element methods for the rst-order system formulation of second-order elliptic problems, a technique for the weak enforcement of boundary conditions is presented. This approach is based on least-squares boundary functionals which are equivalent to the H ?1=2 and H 1=2 norms on the trace spaces of lowest-order Raviart-Thomas elements for the ux and standard continuous...
متن کاملWeighted least-squares finite elements based on particle imaging velocimetry data
The solution of the Navier-Stokes equations requires that data about the solution is available along the boundary. In some situations, such as particle imaging velocimetry, there is additional data available along a single plane within the domain, and there is a desire to also incorporate this data into the approximate solution of the Navier-Stokes equation. The question that we seek to answer ...
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: PAMM
سال: 2015
ISSN: 1617-7061
DOI: 10.1002/pamm.201510104