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

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. Categories and Subject Descriptors

• Type: Conference
• Year: 2010
• Where: SMA
• Authors: Chandrajit L. Bajaj, Radhakrishna Bettadapura, Na Lei, Alex Mollere, Chao Peng, Alexander Rand
• Keywords: Finite Element, Finite Element Methods, SMA 2010, Solid Modeling, Weight Functions