MATLAB 2D higher-order triangle mesh generator with finite element applications using subparametric transformations

Smitha, T; Nagaraja, K.V.; Jayan, Sarada

doi:10.1016/j.advengsoft.2017.10.012

Cited by 24 publications

(8 citation statements)

References 14 publications

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“…Therefore, 4 nodes are positioned to each side of the triangle in equidistance. The curved part of the triangle is covered by points 5, :, L, 9, N, O according to [6]. In particular, L, 9, N and O lie on the curve.…”

Section: A Formulationmentioning

confidence: 99%

“…Numerical methods are very much essential for analysis of propagation of these waves as there is no single direct empirical approach available at present. During recent years, many techniques such as the finite element method (FEM) [6]- [8] or the boundary element method (BEM) [9], [10] have been employed for numerical eigen analysis. Along with these, several other methods for analyzing waveguides have also been proposed in recent years such as for obtaining cut-off wavenumbers of TE and TM modes, a surface integral equation approach was examined with the most common types of waveguides by Swaminathan et al [11].…”

Section: Introductionmentioning

confidence: 99%

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An Efficient Automatic Mesh Generator With Parabolic Arcs in Julia for Computation of TE and TM Modes for Waveguides

Kannan

Nagaraja

2020

IEEE Access

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An enriched finite element method is presented to numerically solve the eigenvalue problem on electromagnetic waveguides governed by the Helmholtz equation. In this work, a highly efficient, simple and precise higher order subparametric method was developed using a 2D automated mesh generator performed with JuliaFEM. The transcendence computerized discretization code in Julia is developed for the present work. For curved waveguide structures, meshes with one side and curving higher orders are proposed with triangular elements with parabolic arcs. The technique is shown for distinct waveguide constructions, and the results are compared with the strongest numerical or analytical results available. The results demonstrate that the proposed methodology is effective and accurate for generating finite element simulations for complex structures with black holes and irregular topology due to no curvature loss. This article presents a finding cutoff frequency performed with JuliaFEM-an open-source program. Analysis results produced by commercial software are considered for the comparison and show that the calculation results between the two programs do not differ significantly. This procedure can be used to achieve the most effective transmission of energy for electromagnetic applications.

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Section: A Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

An Efficient Automatic Mesh Generator With Parabolic Arcs in Julia for Computation of TE and TM Modes for Waveguides

Kannan

Nagaraja

2020

IEEE Access

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“…The single curved side (of the HO triangular element) is represented by a polynomial arc of arbitrary order, which is used to represent the curved boundaries of the problem domain. Later, a fully automated mesh generation code in Matlab has been developed for these HO triangular elements [5], by merging with triangular mesh generation techniques proposed by [6] or [7].…”

Section: Introductionmentioning

confidence: 99%

“…It is observed that the technique proposed by [5] has advantages such as higher accuracy in simulation results with lesser number of elements, accurate representation of curved sides of problem domain and simpler Matlab code for fully automated mesh generation (reduces the time and effort for the mesh generation). However, there are limitations in this method.…”

Section: Introductionmentioning

confidence: 99%

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A New Triangular Mesh Generation Technique

Perumal¹

2019

IJMLC

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Objective of this paper is to propose a new semi-automatic, adaptive and optimized triangular mesh generation technique for any domain (including free formed curves). This new technique is found by merging the generalised equations which were proposed in previous works with Delaunay triangulation method. The new technique is demonstrated for several domains with various boundaries. Initial meshes are generated for these domains, which are later optimized manually by addition, removal or replacement of sampling points. Finalized meshes consist of triangular elements with aspect ratio of less than 2 and minimum skewness of more than 45 degrees.

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Gridder-HO: Rapid and efficient parallel software for high-order curvilinear mesh generation

Liu,

Wang,

Zhao

et al. 2024

Advances in Engineering Software

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MATLAB 2D higher-order triangle mesh generator with finite element applications using subparametric transformations

Cited by 24 publications

References 14 publications

An Efficient Automatic Mesh Generator With Parabolic Arcs in Julia for Computation of TE and TM Modes for Waveguides

An Efficient Automatic Mesh Generator With Parabolic Arcs in Julia for Computation of TE and TM Modes for Waveguides

A New Triangular Mesh Generation Technique

Gridder-HO: Rapid and efficient parallel software for high-order curvilinear mesh generation

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