Results 221 to 230 of about 43,210 (256)

Spline element methods allowing multiple level hanging nodes

Journal of Computational and Applied Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianliang Hu
exaly   +3 more sources

XFEM with hanging nodes for two-phase incompressible flow

Computer Methods in Applied Mechanics and Engineering, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cheng, K.-W., Fries, T.-P.
exaly   +3 more sources

H 1-interpolation on quadrilateral and hexahedral meshes with hanging nodes

Computing (Vienna/New York), 2007
The authors investigate a Scott-Zhang type linear interpolation of \(H^1\)-functions by continuous piecewise multilinear polynomials in two and three dimensions, respectively. This includes approximations on hierarchically generated nets with hanging nodes. The authors prove optimal local convergence rates.
Vincent Heuveline, Friedhelm Schieweck
exaly   +2 more sources

Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM

Mathematics and Computers in Simulation, 2008
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Pavel Solin
exaly   +3 more sources

Adaptive Finite Element Methods on Quadrilateral Meshes without Hanging Nodes

SIAM Journal of Scientific Computing, 2010
Hanging nodes have some disadvantages in the implementation of adaptive finite element methods on quadrilateral meshes, which usually need further techniques to treat them. In this paper, we present a shape regular local refinement algorithm on quadrilateral meshes without hanging nodes, which can be viewed as an extension of the original red-green ...
Xuying Zhao, Shipeng Mao
exaly   +3 more sources

A consistent octree hanging node elimination algorithm for hexahedral mesh generation

Advances in Engineering Software, 2014
A new algorithm for hanging node elimination in octree structures is developed. The proposed algorithm utilizes hanging node elimination by refinement templates and a new mesh conditioning technique based on decoupling templates. Refinement templates insert transition elements to eliminate hanging nodes.
Ahmed H Elsheikh, Mustafa Elsheikh
exaly   +2 more sources

Hexahedral constraint-free finite element method on meshes with hanging nodes

Science China Mathematics, 2019
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Xuying Zhao
exaly   +3 more sources

On Hanging Node Constraints for Nonconforming Finite Elements using the Douglas--Santos--Sheen--Ye Element as an Example

SIAM Journal on Numerical Analysis, 2017
Summary: On adaptively refined quadrilateral or hexahedral meshes, one usually employs constraints on degrees of freedom to deal with hanging nodes. How these constraints are constructed is relatively straightforward for conforming finite element methods: The constraints are used to ensure that the discrete solution space remains a subspace of the ...
Wolfgang Bangerth, Dongwoo Sheen
exaly   +2 more sources

Multi-level hp-adaptivity: high-order mesh adaptivity without the difficulties of constraining hanging nodes

Computational Mechanics, 2015
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Nils Zander, Tino Bog, Stefan Kollmannsberger   +2 more
exaly   +2 more sources

Unsymmetric multi-level hanging nodes and anisotropic polynomial degrees in H1-conforming higher-order finite element methods

Computers and Mathematics With Applications, 2017
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A Byfut, Andreas Schröder
exaly   +2 more sources