Higher-Order Mesh Generation Using Linear Meshes [EM Programmer's Notebook]

John C. Young

doi:10.1109/MAP.2019.2895599

Higher-Order Mesh Generation Using Linear Meshes [EM Programmer's Notebook]

John C. Young

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A simple method for generating highorder, 3D surface meshes is presented. The higher-order meshes are suitable for investigating higherorder convergence in electromagnetic analysis codes. The mesh-generation algorithm uses two linear meshes: a coarse mesh and a refinement of the coarse mesh. The method is applied to both quadrilateral and triangle surface meshes. Mesh generation is validated by computing the discretization error for various meshes. Finally, integral equation error convergence of plane wave scattering from a conducting sphere is investigated in terms of mesh order and basis order. A reference implementation of the algorithms is made available.

Original language	English
Article number	8681559
Pages (from-to)	120-126
Number of pages	7
Journal	IEEE Antennas and Propagation Magazine
Volume	61
Issue number	2
DOIs	https://doi.org/10.1109/MAP.2019.2895599
State	Published - Apr 2019

Bibliographical note

Publisher Copyright:
© 1990-2011 IEEE.

ASJC Scopus subject areas

Condensed Matter Physics
Electrical and Electronic Engineering

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10.1109/MAP.2019.2895599

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abstract = "A simple method for generating highorder, 3D surface meshes is presented. The higher-order meshes are suitable for investigating higherorder convergence in electromagnetic analysis codes. The mesh-generation algorithm uses two linear meshes: a coarse mesh and a refinement of the coarse mesh. The method is applied to both quadrilateral and triangle surface meshes. Mesh generation is validated by computing the discretization error for various meshes. Finally, integral equation error convergence of plane wave scattering from a conducting sphere is investigated in terms of mesh order and basis order. A reference implementation of the algorithms is made available.",

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AB - A simple method for generating highorder, 3D surface meshes is presented. The higher-order meshes are suitable for investigating higherorder convergence in electromagnetic analysis codes. The mesh-generation algorithm uses two linear meshes: a coarse mesh and a refinement of the coarse mesh. The method is applied to both quadrilateral and triangle surface meshes. Mesh generation is validated by computing the discretization error for various meshes. Finally, integral equation error convergence of plane wave scattering from a conducting sphere is investigated in terms of mesh order and basis order. A reference implementation of the algorithms is made available.

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Higher-Order Mesh Generation Using Linear Meshes [EM Programmer's Notebook]

Abstract

Bibliographical note

ASJC Scopus subject areas

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