89 citations
- Florida State UniversityUS7 papers
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- Florida Institute for Human and Machine CognitionUS4 papers
- Auburn UniversityUS3 papers
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- KTH Royal Institute of TechnologySE3 papers
- University of Massachusetts AmherstUS3 papers
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10 papers · 1 filter
Enabling fast convergence of the iterated penalty Picard iteration with penalty parameter for incompressible Navier-Stokes via Anderson acceleration
Leo G. Rebholz, Duygu Vargun, Mengying Xiao
This paper considers an enhancement of the classical iterated penalty Picard (IPP) method for the incompressible Navier-Stokes equations, where we restrict our attention to …
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…