10 citations · 36 across the 15 of their papers we have counts for
Showing 2014Show all
2 papers · 1 filter
math.AP2014★ 1 cited
Quantitative Homogenization of Elliptic PDE with Random Oscillatory Boundary Data
William M. Feldman, Inwon Kim, Panagiotis E. Souganidis
We study the averaging behavior of nonlinear uniformly elliptic partial differential equations with random Dirichlet or Neumann boundary data oscillating on a small scale. Under co…
math.NA2014★ 7 cited
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…