Publications [#350797] of Jianfeng Lu

Papers Published

1. Chen, K; Li, Q; Lu, J; Wright, SJ, Randomized sampling for basis function construction in generalized finite element methods, Multiscale Modeling and Simulation, vol. 18 no. 2 (January, 2020), pp. 1153-1177, Society for Industrial & Applied Mathematics (SIAM) [doi]
   (last updated on 2024/04/19)

   Abstract:
   In the framework of generalized finite element methods for elliptic equations with rough coefficients, efficiency and accuracy of the numerical method depend critically on the use of appropriate basis functions. This work explores several random sampling strategies that construct approximations to the optimal set of basis functions of a given dimension, and proposes a quantitative criterion to analyze and compare these sampling strategies. Numerical evidence shows that the best results are achieved by two strategies, Random Gaussian and Smooth Boundary sampling.