Hierarchical high order finite element bases for H(div) spaces based on curved meshes for two-dimensional regions or manifolds
نویسندگان
چکیده
منابع مشابه
A comparison of C0 and G1 continuous curved tetrahedral meshes for high-order finite element simulations
This paper examines the effect of curved boundary continuity on finite element simulations. Quartic C0 continuous and G1 continuous meshes with curved boundaries are created from CAD geometry. These C0 continuous and G1 continuous surface triangles are constructed using Bézier triangles and triangular Gregory patches respectively. Curved tetrahedra are constructed using a shape blending with te...
متن کاملNew Bases for Polynomial-Based Spaces
Since it is well-known that the Vandermonde matrix is ill-conditioned, while the interpolation itself is not unstable in function space, this paper surveys the choices of other new bases. These bases are data-dependent and are categorized into discretely l2-orthonormal and continuously L2-orthonormal bases. The first one construct a unitary Gramian matrix in the space l2(X) while the late...
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 کاملIterative refinement of hierarchical T-meshes for bases of spline spaces with highest order smoothness
In this paper we propose a strategy for generating consistent hierarchical T–meshes which allow local refinement and offer a way to obtain spline basis functions with highest order smoothness incrementally. We describe the required ordering of line–segments during refinement and the construction of spline basis functions. We give our strategy for generating consistent hierarchical T–meshes over...
متن کاملInf-sup stable finite element pairs based on dual meshes and bases for nearly incompressible elasticity
We consider finite element methods based on simplices to solve the problem of nearly incompressible elasticity. Two different approaches based respectively on dual meshes and dual bases are presented, where in both approaches pressure is discontinuous and can be statically condensed out from the system. These novel approaches lead to displacement-based low order finite element methods for nearl...
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: Journal of Computational and Applied Mathematics
سال: 2016
ISSN: 0377-0427
DOI: 10.1016/j.cam.2016.01.053