An hpr-mesh refinement algorithm for BEM

Jaihind Reddy Maddi; Madhukar Vable

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An hpr-mesh refinement algorithm for BEM

机译：BEM的hpr-mesh细化算法

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This paper describes a mesh refinement scheme for boundary element method in which the number of elements, the size of elements, element end locations and the element polynomial order are determined to meet the user specified accuracy. The use of grading function in conjunction with the L_1 norm makes the mesh refinement scheme applicable to a variety of boundary element formulation and applications. The algorithm is stable for smooth, discontinuous, as well as singular density functions. Numerical results for mathematical test functions as well as for elastostatic problems demonstrate the viability and versatility of the algorithm for BEM applications.

机译：本文介绍了一种边界元素方法的网格细化方案，其中确定了元素的数量，元素的大小，元素的末端位置和元素多项式的阶数以满足用户指定的精度。将分级函数与L_1范数结合使用使网格细化方案适用于各种边界元素的公式化和应用。该算法对于平滑，不连续以及奇异密度函数都是稳定的。数学测试函数以及弹性静力学问题的数值结果证明了该算法在BEM应用中的可行性和多功能性。

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来源
《Engineering analysis with boundary elements》 |2010年第6期|p.549-556|共8页
作者
Jaihind Reddy Maddi; Madhukar Vable;
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作者单位

Mechanical Engineering-Engineering Mechanics, Michigan Technological University, Houghton, MI 49931, USA;

Mechanical Engineering-Engineering Mechanics, Michigan Technological University, Houghton, MI 49931, USA;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
boundary element method; mesh refinement;

机译：边界元法网格细化;

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专利

1. Interface relaxation algorithms for BEM―BEM coupling and FEM―BEM coupling [J] . Wael M. Elleithy, Masataka Tanaka Computer Methods in Applied Mechanics and Engineering . 2003,第26a27期

机译：BEM ― BEM耦合和FEM ― BEM耦合的接口松弛算法
2. A parallel implementation of a 3D-BEM-algorithm using distributed memory algorithms [J] . Mader G., Uhlmann F.H. IEEE Transactions on Magnetics . 1997,第2期

机译：使用分布式内存算法的3D-BEM算法的并行实现
3. A three-dimensional, p-version BEM: High-order refinement leveraged through regularization [J] . Joshua P. Marshall, J.D. Richardson Engineering analysis with boundary elements . 2021,第Jana期

机译：三维P-Version BEM：通过正规化杠杆的高阶细化
4. ROBUST ELECTROMAGNETIC SIMULATION WITH ADAPTIVE MESH REFINEMENT IN BEM [C] . T. Abboud, D. Barbier, F. Bereux, International Conference on Lightning Static Electricity . 2016

机译：BEM中自适应网格细化的强大电磁仿真
5. hpr-Mesh refinement for the boundary element method analysis of multiple material problems. [D] . Maddi, Jaihind Reddy. 2006

机译：hpr-网格细化用于多种材料问题的边界元方法分析。
6. Utilizing the Heterogeneity of Clinical Data for Model Refinement and Rule Discovery Through the Application of Genetic Algorithms to Calibrate a High-Dimensional Agent-Based Model of Systemic Inflammation [O] . Chase Cockrell, Gary An 2021

机译：利用遗传算法利用临床资料的异质性通过应用遗传算法来校准基于高维代理的全身炎症模型
7. Performing Algorithmic Refinement before Data Refinement in B [O] . Michael Butler, Mairead Meagher 2000

机译：在B中的数据细化之前执行算法细化

An hpr-mesh refinement algorithm for BEM

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