Residual error estimate for BEM-based FEM on polygonal meshes
نویسندگان
چکیده
منابع مشابه
Residual error estimate for BEM-based FEM on polygonal meshes
A conforming finite element method on polygonal meshes is introduced which handles hanging nodes naturally. Ansatz functions are defined to fulfil the homogeneous PDE locally and they are treated by means of local boundary integral equations. Using a quasi-interpolation operator of Clément type a residual-based error estimate is obtained. This a posteriori estimator can be used to rate the accu...
متن کاملHigher Order BEM-Based FEM on Polygonal Meshes
The BEM-based finite element method is reviewed and extended with higher order basis functions on general polygonal meshes. These functions are defined implicitly as local solutions of the underlying homogeneous problem with constant coefficients. They are treated by means of boundary integral formulations and are approximated using the boundary element method in the numerics. To obtain higher ...
متن کاملAdaptive Bem-based Fem on Polygonal Meshes from Virtual Element Methods
Polygonal meshes are especially suited for the discretization of boundary value problems in adaptive mesh refinement strategies. Such meshes are very flexible and incorporate hanging nodes naturally. But only a few approaches are available that handle polygonal discretizations in this context. The BEM-based Finite Element Method (FEM) and a residual based error estimate are reviewed in the pres...
متن کاملArbitrary 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 کاملConvection-adapted BEM-based FEM
We present a new discretization method for homogeneous convectiondiffusion-reaction boundary value problems in 3D that is a non-standard finite element method with PDE-harmonic shape functions on polyhedral elements. The element stiffness matrices are constructed by means of local boundary element techniques. Our method, which we refer to as a BEM-based FEM, can therefore be considered a local ...
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: 2011
ISSN: 0029-599X,0945-3245
DOI: 10.1007/s00211-011-0371-6