184 citations · 270 across the 14 of their papers we have counts for
3 papers · 1 filter
Stable Mesh-Free Variational Radial Basis Function Approximation for Elliptic PDEs and Obstacle Problems
Tan Phuong Dong Le, Giang Tran, Hans De Sterck
We present a comprehensive study of radial basis function (RBF) approximations for elliptic and obstacle-type boundary value problems under a variational formulation. Our focus is…
Learning Dynamical Systems and Bifurcation via Group Sparsity
Hayden Schaeffer, Giang Tran, Rachel Ward
Learning governing equations from a family of data sets which share the same physical laws but differ in bifurcation parameters is challenging. This is due, in part, to the wide ra…
An L1 Penalty Method for General Obstacle Problems
Giang Tran, Hayden Schaeffer, William M. Feldman +1
We construct an efficient numerical scheme for solving obstacle problems in divergence form. The numerical method is based on a reformulation of the obstacle in terms of an L1-like…