About this Journal Submit a Manuscript Table of Contents

Integration of Geometric Modeling with Numerical Analysis

Call for Papers

In the past decade, the integration of geometric modeling technology and numerical analysis methods has become an active area of research. Two major directions have emerged. One, subdivision surfaces or isogeometric analysis, consists in tying the geometrical representation to the field representation. The second, unfitted (extended) finite element methods, aims at separating the geometry representation from that of the field variables. Both aim at simplifying the work of engineers by integrating CAD with analysis. This integration not only provides powerful numerical analysis approaches to industrial applications but also opens new research direction in the field of geometric modeling. This special issue focuses on the integration of geometric modeling methods with numerical analysis theory while also addressing the application of this integration. In addition to the strong focus on applied mathematics and scientific computing, a special emphasis will be given to isogeometric analysis and its engineering application and geometric modeling issues for numerical solution of partial differential equations.

Potential topics include, but are not limited to:

  • Spline curve and surface and volume modeling
  • Mesh generation
  • Analysis-suitable parameterization
  • Analysis-suitable spline spaces
  • Generalized isogeometric analysis methods
  • Refinement methods in isogeometric analysis
  • Numerical analysis of isogeometric methods
  • Fast isogeometric solver
  • Applications using isogeometric analysis
  • High-order finite element method for PDEs
  • Meshless methods in PDE solving
  • Isogeometric boundary element method
  • Isogeometric shape optimization method
Manuscript DueFriday, 14 November 2014
First Round of ReviewsFriday, 6 February 2015
Publication DateFriday, 3 April 2015

Lead Guest Editor

  • Gang Xu, Hangzhou Dianzi University, Hangzhou, China

Guest Editors