Articles

• Nodal $\mathcal{O}(h^4)$-Superconvergence in 3D by Averaging Piecewise Linear, Bilinear, and Trilinear FE Approximations

  Antti Hannukainen, Sergey Korotov & Michal Křížek

  1-10

  https://doi.org/10.4208/jcm.2009.09-m1004

  • Preview
  • Full PDF

  36081 3998

• Superconvergence of Gradient Recovery Schemes on Graded Meshes for Corner Singularities

  Long Chen & Hengguang Li

  11-31

  https://doi.org/10.4208/jcm.2009.09-m1002

  • Preview
  • Full PDF

  35454 3935

• Uniform Superconvergence of a Finite Element Method with Edge Stabilization for Convection-Diffusion Problems

  Sebastian Franz, Torsten Linß, Hans-Görg Roos, Sebastian Schiller

  32-44

  https://doi.org/10.4208/jcm.2009.09-m1005

  • Preview
  • Full PDF

  35606 3751

• Multi-Level Adaptive Corrections in Finite Dimensional Approximations

  Aihui Zhou

  45-54

  https://doi.org/10.4208/jcm.2009.09-m1003

  • Preview
  • Full PDF

  36484 4692

• Richardson Extrapolation and Defect Correction of Finite Element Methods for Optimal Control Problems

  Tang Liu, Ningning Yan & Shuhua Zhang

  55-71

  https://doi.org/10.4208/jcm.2009.09-m1001

  • Preview
  • Full PDF

  34567 3819

• A New Trust-Region Algorithm for Nonlinear Constrained Optimization

  Lingfeng Niu & Yaxiang Yuan

  72-86

  https://doi.org/10.4208/jcm.2009.09-m2924

  • Preview
  • Full PDF

  35790 3849

• Numerical Implementation for a 2-D Thermal Inhomogeneity Through the Dynamical Probe Method

  Lei Yi, Kyoungsun Kim & Gen Nakamura

  87-104

  https://doi.org/10.4208/jcm.2009.09-m2935

  • Preview
  • Full PDF

  34367 3898

• Construction of Geometric Partial Differential Equations for Level Sets

  Chong Chen & Guoliang Xu

  105-121

  https://doi.org/10.4208/jcm.2009.09-m2971

  • Preview
  • Full PDF

  35158 3751

• Reduced Basis Method for Parametrized Elliptic Advection-Reaction Problems

  Luca Dedè

  122-148

  https://doi.org/10.4208/jcm.2009.09-m3015

  • Preview
  • Full PDF

  35908 3866