Get access

Nonconforming spline collocation methods in irregular domains II: Error analysis

Authors

  • Yinnian He,

    Corresponding author
    1. Faculty of Science, State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China
    • Faculty of Science, State Key Laboratory of Multiphase Flow in Power Engineering, Xi'an Jiaotong University, Xi'an 710049, People's Republic of China
    Search for more papers by this author
  • Weiwei Sun

    1. Department of Mathematics, City University of Hong Kong, Hong Kong
    Search for more papers by this author

Abstract

A nonconforming spline collocation method is investigated for elliptic PDEs in an irregular region with a triangular mesh. The existence and uniqueness of the spline collocation system and the optimal H1 and L2 -error analysis of the numerical solution are provided. Numerical experiments are presented to confirm the theoretical analysis and show the efficiency of this method. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 441–456 2012

Get access to the full text of this article

Ancillary