Constructing A-spline weight functions for stable WEB-spline finite element methods

C. Bajaj, Radhakrishna Bettadapura, Nai Lei, Alex Mollere, Chao Peng, Alexander Rand
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引用次数: 5

Abstract

Whereas traditional finite element methods use meshes to define domain geometry, weighted extended B-spline finite element methods rely on a weight function. A weight function is a smooth, strictly positive function which vanishes at the domain boundary at an appropriate rate. We describe a method for generating weight functions for a general class of domains based on A-splines. We demonstrate this approach and address the relationship between weight function quality and error in the resulting finite element solutions.
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稳定web样条有限元法中a样条权函数的构造
传统的有限元方法使用网格来定义域几何,而加权扩展b样条有限元方法依赖于权重函数。权函数是一个光滑的严格正函数,它以适当的速率在域边界处消失。我们描述了一种基于a样条的一般域的权函数生成方法。我们演示了这种方法,并在得到的有限元解中解决了权函数质量和误差之间的关系。
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