Quadratic finite elements with non-matching grids for the unilateral boundary contact
نویسندگان
چکیده
منابع مشابه
Superconvergence of quadratic finite elements on mildly structured grids
Superconvergence estimates are studied in this paper on quadratic finite element discretizations for second order elliptic boundary value problems on mildly structured triangular meshes. For a large class of practically useful grids, the finite element solution uh is proven to be superclose to the interpolant uI and as a result a postprocessing gradient recovery scheme for uh can be devised. Th...
متن کاملA posteriori error estimation for unilateral contact with matching and non-matching meshes
In this paper, we consider the unilateral contact problem between elastic bodies. We propose an error estimator based on the concept of error in the constitutive relation in order to evaluate the ®nite element approximation involving matching and non-matching meshes on the contact zone. The determination of the a posteriori error estimate is linked to the building of kinematically-admissible st...
متن کاملFinite Elements on Dyadic Grids with Applications
A dyadic grid is a hierarchic mesh where a cell at level k is partitioned into two equal children at level k+1 by a hyperplane perpendicular to coordinate axis (k mod m). We consider here the finite element approach on adaptive grids, static and dynamic, for various functional approximation problems. We review here the theory of adaptive dyadic grids and splines defined on them. Specifically, w...
متن کاملA mortar mimetic finite difference method on non-matching grids
We consider mimetic finite difference approximations to second order elliptic problems on non-matching multi-block grids. Mortar finite elements are employed on the non-matching interfaces to impose weak continuity of the velocity. Optimal convergence and, for certain cases, superconvergence is established for both the scalar variable and the velocity.
متن کاملOn Multigrid Convergence for Quadratic Finite Elements
Quadratic and higher order finite elements are interesting candidates for the numerical solution of (elliptic) partial differential equations (PDEs) due to their improved approximation properties in comparison to linear approaches. While the systems of equations that arise from the discretisation of the underlying PDEs are often solved by iterative schemes like preconditioned Krylow-space metho...
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: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 2013
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/2012064