Optimal Meshes for Finite Elements of Arbitrary Order
نویسندگان
چکیده
منابع مشابه
Optimally adapted meshes for finite elements of arbitrary order and W 1, p norms
Given a function f defined on a bounded polygonal domain Ω ⊂ IR and a numberN > 0, we study the properties of the triangulation TN that minimizes the distance between f and its interpolation on the associated finite element space, over all triangulations of at most N elements. The error is studied in the W 1,p semi-norm for 1 ≤ p < ∞, and we consider Lagrange finite elements of arbitrary polyno...
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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...
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2010
ISSN: 0176-4276,1432-0940
DOI: 10.1007/s00365-010-9090-y