Quadratic serendipity finite elements over convex polyhedra
Sign Up to like & getrecommendations! Published in 2018 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5605
Abstract: Summary The conventional approach to construct quadratic elements for an n sided polygon will yield n(n + 1)/2 shape functions, which increases the computational effort. It is well known that the serendipity elements based on… read more here.
Keywords: quadratic serendipity; serendipity finite; shape functions; convex polyhedra ... See more keywords
Creating higher order vector shape functions based on H(curl) for the edge meshless method
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Electromagnetic Waves and Applications"
DOI: 10.1080/09205071.2021.1901787
Abstract: ABSTRACT The goal of this work is to extend the Edge Meshless Method (EMM) presenting a new way to build the vector shape functions based on the H(curl) space. These vector shape functions allow the… read more here.
Keywords: shape; shape functions; meshless method; edge meshless ... See more keywords
Efficient solution of particle shape functions for the analysis of powder total scattering data
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Applied Crystallography"
DOI: 10.1107/s1600576722001261
Abstract: Particle shape functions are necessary to model powder scattering data that are in the form of intensity profiles and pair distribution functions. Here, an efficient method is presented to compute particle shape functions by orientational… read more here.
Keywords: scattering data; shape functions; powder; particle shape ... See more keywords
Boundary element analysis for elasticity problems using expanding element interpolation method
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DOI: 10.1108/ec-11-2018-0506
Abstract: Purpose This paper aims to propose a boundary element analysis of two-dimensional linear elasticity problems by a new expanding element interpolation method. Design/methodology/approach The expanding element is made up based on a traditional discontinuous element… read more here.
Keywords: method; shape functions; expanding element; boundary element ... See more keywords
Material-Oriented Shape Functions for FGM Plate Finite Element Formulation
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DOI: 10.3390/ma13030803
Abstract: A four-noded finite element of a moderately thick plate made of functionally graded material (FGM) is presented. The base element is rectangular and can be extended to any shape using a transformation based on NURBS… read more here.
Keywords: finite element; shape; shape functions; plate ... See more keywords
Preserving the Shape of Functions by Applying Multidimensional Schoenberg-Type Operators
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DOI: 10.3390/sym13061016
Abstract: The paper presents a multidimensional generalization of the Schoenberg operators of higher order. The new operators are powerful tools that can be used for approximation processes in many fields of applied sciences. The construction of… read more here.
Keywords: applying multidimensional; schoenberg; preserving shape; shape functions ... See more keywords