Extended finite element method on polygonal and quadtree meshes
نویسندگان
چکیده
منابع مشابه
Arbitrary order BEM-based Finite Element Method on polygonal meshes
Polygonal meshes show up in more and more applications and the BEMbased Finite Element Method turned out to be a forward-looking approach. The method uses implicitly defined trial functions, which are treated locally by means of Boundary Element Methods (BEM). Due to this choice the BEM-based FEM is applicable on a variety of meshes including hanging nodes. The aim of this presentation is to gi...
متن کاملPolygonal Interpolants: Construction and Adaptive Computations on Quadtree Meshes
Abstract. In this paper, recent advances in meshfree approximations, computational geometry, and computer graphics are described towards the development of polygonal interpolants. A particular and notable contribution is the use of meshfree (Laplace) basis functions that are based on the concept of natural neighbors. These are defined on a canonical element and an affine map is used to construc...
متن کاملExtended Finite Element Method for Statics and Vibration Analyses on Cracked Bars and Beams
In this paper, the extended finite element method (XFEM) is employed to investigate the statics and vibration problems of cracked isotropic bars and beams. Three kinds of elements namely the standard, the blended and the enriched elements are utilized to discretize the structure and model cracks. Two techniques referred as the increase of the number of Gauss integration points and the rectangle...
متن کاملConstruction of Scalar and Vector Finite Element Families on Polygonal and Polyhedral Meshes
We combine theoretical results from polytope domain meshing, generalized barycentric coordinates, and finite element exterior calculus to construct scalar- and vector-valued basis functions for conforming finite element methods on generic convex polytope meshes in dimensions 2 and 3. Our construction recovers well-known bases for the lowest order Nédélec, Raviart-Thomas, and Brezzi-Douglas-Mari...
متن کاملExtrapolation of the Finite Element Method on General Meshes
In this paper, we consider the extrapolation method for second order elliptic problems on general meshes and derive a type of finite element expansion which is dependent of the triangulation. It allows to prove the effectiveness of the extrapolation on general meshes and also validates the extrapolation method can be applied on the automatically produced meshes of the general computing domains....
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: Computer Methods in Applied Mechanics and Engineering
سال: 2008
ISSN: 0045-7825
DOI: 10.1016/j.cma.2007.08.013