Construction of higher-order curl-conforming finite elements and its assembly

Amor-Martin Adrian; Garcia-Castillo Luis E.

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Construction of higher-order curl-conforming finite elements and its assembly

机译：施工高阶卷曲符合有限元及其组装

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Different choices are available when constructing vector finite element bases in real coordinates. In this communication, two different designs of higher-order curl-conforming basis functions are introduced and explained, showing the particularities of its assembly. Tetrahedra and hexahedra are used as element shapes to assess the effect of triangular and quadrilateral faces on the two considered constructions of basis functions. A comparison of their robustness in terms of the condition number of the finite element matrices for a number of distortions is included.

机译：在实际坐标中构建矢量有限元基座时，可以使用不同的选择。在这种通信中，引入和解释了两种不同的卷曲符合基础函数的设计，并说明了其组装的特殊性。 Tetrahedra和Hexahedra用作元素形状，以评估三角形和四边形面对两种考虑的基础职能结构的影响。在包括许多失真的有限元矩阵的条件数方面的鲁棒性的比较。

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来源
《International journal of RF and microwave computer-aided engineering》 |2019年第8期|1-7|共7页
作者
Amor-Martin Adrian; Garcia-Castillo Luis E.;
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作者单位

Univ Carlos III Madrid Signal Theory & Commun Dept Madrid Spain;

Univ Carlos III Madrid Signal Theory & Commun Dept Madrid Spain;

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原文格式 PDF
正文语种 eng
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关键词
basis functions; computational electromagnetics (CEM); curl-conformity; finite element method (FEM); FEM assembly;

机译：基本功能;计算电磁（CEM）;卷曲符合性;有限元方法（FEM）;FEM组件;

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专利

1. Construction of higher-order curl-conforming finite elements and its assembly [J] . Amor-Martin Adrian, Garcia-Castillo Luis E. International journal of RF and microwave computer-aided engineering . 2019,第8期

机译：高阶卷曲协调有限元的构造及其组装
2. On a general implementation of h- and p-adaptive curl-conforming finite elements [J] . Olm Marc, Badia Santiago, Martin Alberto F. Advances in Engineering Software . 2019,第JUNa期

机译：关于h和p自适应的符合卷曲的有限元的一般实现
3. On a general implementation of h- and p-adaptive curl-conforming finite elements [J] . Olm Marc, Badia Santiago, Martin Alberto F. Advances in Engineering Software . 2019,第Juna期

机译：关于H-和P-Adaptive Curl的一般实施有限元
4. On the design of higher-order curl-conforming finite elements and its assembly features [C] . Adrian Amor-Martin, Daniel Garcia-Donoro, Luis E. Garcia-Castillo 2017 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization for RF, Microwave, and Terahertz Applications . 2017

机译：关于高阶卷曲协调有限元的设计及其装配特征
5. Novel self-adaptive higher-order Finite Elements Methods for Maxwell's equations of electromagnetics [D] . Dubcova, Lenka 2008

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6. The construction of the scoliosis 3D finite element model and the biomechanical analysis of PVCR orthopaedy [O] . Xuanhuang Chen, Hanhua Cai, Guodong Zhang, 2020

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7. Higher-order hybrid method for curl-conforming elements on tetrahedrons and bricks [O] . Winges, Johan, Rylander, Thomas 2015

机译：四面体和砖上卷曲均匀元素的高阶混合方法
8. Discretization of higher-order gradient damage models using isogeometric finite elements [R] . Verhoosel, C. V., Scott, M. A., Borden, M. J., 2011

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Construction of higher-order curl-conforming finite elements and its assembly

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