Arbitrary-level hanging nodes for adaptivehp-FEM approximations in 3D
نویسندگان
چکیده
منابع مشابه
Adaptive hp-FEM with Arbitrary-Level Hanging Nodes for Maxwell’s Equations
Adaptive higher-order finite element methods (hp-FEM) are well known for their potential of exceptionally fast (exponential) convergence. However, most hp-FEM codes remain in an academic setting due to an extreme algorithmic complexity of hp-adaptivity algorithms. This paper aims at simplifying hpadaptivity for H(curl)-conforming approximations by presenting a novel technique of arbitrary-level...
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Great algorithmic difficulty of hp-adaptive algorithms is one of the main obstacles preventing adaptive hp-FEM from being employed widely in realistic engineering computations. In order to reduce their complexity, we present a new technique of arbitrary-level hanging nodes that eliminates forced refinements. By forced refinements we mean refinements which are not based on a large value of an er...
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One main challenge of the hp-version of the finite element method is the high implementational complexity of the method resulting from the added need of handling hanging nodes appropriately. The multi-level hp-formulation—recently introduced for two-dimensional applications—aims at alleviating these difficulties without compromising the approximation quality. This is achieved by changing from t...
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hp-refinement schemes have proven to be an excellent approach to locally adapt the accuracy of a Finite Element discretization. However, the implementation of hp-adaptivity remains challenging as hanging nodes, edges, and faces have to be constrained to ensure compatibility of the shape functions. For this reason, most hp-code frameworks restrict themselves to 1-irregular meshes to ease the imp...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2014
ISSN: 0377-0427
DOI: 10.1016/j.cam.2014.02.010