13 citations · 19 across the 7 of their papers we have counts for
7 papers
An analysis of sparsity preserving pivot strategies for discontinuous Galerkin methods applied to acoustic scattering
Cody Lorton, Ryan Severance
In this paper we discuss and analyze the sparse structure of matrices associated to the interior penalty discontinuous Galerkin (IP-DG) method applied to the Helmholtz equation. It…
An efficient Monte Carlo interior penalty discontinuous Galerkin method for the time-harmonic Maxwell's equations with random coefficients
Xiaobing Feng, Junshan Lin, Cody Lorton
This paper develops an efficient Monte Carlo interior penalty discontinuous Galerkin method for electromagnetic wave propagation in random media. This method is based on a multi-mo…
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…
An unconditionally stable discontinuous Galerkin method for the elastic Helmholtz equations with large frequency
Xiaobing Feng, Cody Lorton
In this paper we propose and analyze an interior penalty discontinuous Galerkin (IP-DG) method using piecewise linear polynomials for the elastic Helmholtz equations with the first…
An efficient numerical method for acoustic wave scattering in random media
Xiaobing Feng, Junshan Lin, Cody Lorton
This paper is concerned with developing efficient numerical methods for acoustic wave scattering in random media which can be expressed as random perturbations of homogeneous media…