Mathematics

Findings from Johannes Kepler University Provide New Insights into Computational Engineering

  2012 APR 17 - (VerticalNews.com) -- "While isogeometric analysis has the potential to close the gap between computer aided design and finite element methods, the underlying structure of NURBS (non-uniform rational B-splines) is a weakness when it comes to local refinement. We propose a hybrid method that combines a globally C-1-continuous, piecewise polynomial finite element basis with rational NURBS-mappings in such a way that an isoparametric setting and exact geometry representation are preserved," researchers in Linz, Austria report.

  "We define this basis over T-meshes with a hierarchical structure that allows locally restricted refinement. Combined with a state-of-the-art a posteriori error estimator, we present an adaptive refinement procedure," wrote S.K. Kleiss and colleagues, Johannes Kepler University.

  The researchers concluded: "This concept is successfully demonstrated with the Laplace equation, advection-diffusion problems and linear elasticity problems."

  Kleiss and colleagues published their study in Computer Methods in Applied Mechanics and Engineering (Enhancing isogeometric analysis by a finite element-based local refinement strategy. Computer Methods in Applied Mechanics and Engineering, 2012;213():168-182).

  For additional information, contact S.K. Kleiss, Johannes Kepler Univ Linz, Inst Computat Math, Fac Nat Sci & Engn, A-4040 Linz, Austria.

  Publisher contact information for the journal Computer Methods in Applied Mechanics and Engineering is: Elsevier Science Sa, PO Box 564, 1001 Lausanne, Switzerland.

  Keywords: City:Linz, Country:Austria, Region:Europe, Mathematics, Computational Engineering

  This article was prepared by VerticalNews Mathematics editors from staff and other reports. Copyright 2012, VerticalNews Mathematics via VerticalNews.com.