Articles

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

  Antti Hannukainen, Sergey Korotov, Michal Krizek

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  36305 4099 Pages:1-10

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

  Long Chen, Hengguang Li

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  35683 4037 Pages:11-31

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

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

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  35793 3851 Pages:32-44

• Multi-Level Adaptive Corrections in Finite Dimensional Approximations

  Aihui Zhou

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  36710 4794 Pages:45-54

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

  Tang Liu, Ningning Yan, Shuhua Zhang

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  34800 3939 Pages:55-71

• A New Trust-Region Algorithm for Nonlinear Constrained Optimization

  Lingfeng Niu, Yaxiang Yuan

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  36054 3940 Pages:72-86

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

  Lei Yi, Kyoungsun Kim, Gen Nakamura

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  34570 4006 Pages:87-104

• Construction of Geometric Partial Differential Equations for Level Sets

  Chong Chen, Guoliang Xu

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  35384 3863 Pages:105-121

• Reduced Basis Method for Parametrized Elliptic Advection-Reaction Problems

  Luca Dedè

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  36109 3983 Pages:122-148