109 citations · 289 across the 56 of their papers we have counts for
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An enhanced finite element method for a class of variational problems exhibiting the Lavrentiev gap phenomenon
Xiaobing Feng, Stefan Schnake
This paper develops an enhanced finite element method for approximating a class of variational problems which exhibit the \textit{Lavrentiev gap phenomenon} in the sense that the m…
Interior Penalty Discontinuous Galerkin Methods for Second Order Linear Non-Divergence Form Elliptic PDEs
Xiaobing Feng, Michael Neilan, Stefan Schnake
This paper develops interior penalty discontinuous Galerkin (IP-DG) methods to approximate strong solutions of second order linear elliptic partial differential equations…
An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media
Xiaobing Feng, Cody Lorton
This paper develops and analyzes an efficient Monte Carlo interior penalty discontinuous Galerkin (MCIP-DG) method for elastic wave scattering in random media. The method is constr…
A multi-modes Monte Carlo finite element method for elliptic partial differential equations with random coefficients
X. Feng, J. Lin., C. Lorton
This paper develops and analyzes an efficient numerical method for solving elliptic partial differential equations, where the diffusion coefficients are random perturbations of det…
Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids
Xiaobing Feng, Max Jensen
This paper is concerned with developing and analyzing convergent semi-Lagrangian methods for the fully nonlinear elliptic Monge-Ampère equation on general triangular grids. This is…