Affordable Access

Adaptive computations using material forces and residual-based error estimators on quadtree meshes

  • Sukumar, N.
  • Tabarraei, A.
Publication Date
Jan 01, 2007
eScholarship - University of California
External links


Quadtree is a hierarchical data structure that is well-suited for h-adaptive mesh refinement. Due to the presence of hanging nodes, classical shape functions are non-conforming on quadtree meshes. In this paper, we use natural neighbor basis functions to construct conforming interpolants on quadtree meshes. To this end, the recently proposed construction of polygonal basis functions is adapted to quadtree elements. A fast technique for calculating stiffness matrix on quadtree meshes is introduced. Residual-based error estimators and material force technique are used to estimate the error on quadtree meshes. The performance of the adaptive technique is demonstrated through the solution of linear and nonlinear boundary-value problems. (C) 2007 Elsevier B.V. All rights reserved.

Report this publication


Seen <100 times