Adaptive refinement of hierarchical B-spline finite elements with an efficient data transfer algorithm

We present an adaptive B-spline FEM that employs hierarchical refinement and coarsening techniques. Hierarchical B-spline refinement augments the approximation space through the use of finer, more compactly supported B-splines. With this approach compatibility is automatic because problematic T-vertices do not arise. The process of refinement does not change the regularity of the basis functions, and can be easily generalized to arbitrary dimensions. Data transfer during both refinement and coarsening is addressed. The techniques are then applied to several time-dependent problems for which adaptivity is advantageous, and the performance of the method is evaluated. © 2014 John Wiley & Sons, Ltd.

Duke Scholars

Author John Everett Dolbow Thomas Lord Department of Mechanical Engineering and Materia ...