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International Journal of Computer Mathematics Volume 90, 2013 - Issue 11
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Section B

Discontinuous Galerkin methods for elliptic partial differential equations with random coefficients

Kun LiuComputational and Applied Mathematics Department, Rice University, 6100 Main Street, Houston, TX77005, USA
&
Béatrice M. RivièreComputational and Applied Mathematics Department, Rice University, 6100 Main Street, Houston, TX77005, USACorrespondence[email protected]
Pages 2477-2490 | Received 25 Oct 2012, Accepted 06 Mar 2013, Published online: 16 Apr 2013

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G. Viglialoro, Á. González & J. Murcia. (2017) A mixed finite-element finite-difference method to solve the equilibrium equations of a prestressed membrane having boundary cables. International Journal of Computer Mathematics 94:5, pages 933-945.
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Tingfu Yao, Changlun Ye, Xianbing Luo & Shuwen Xiang. (2023) An ensemble scheme for the numerical solution of a random transient heat equation with uncertain inputs. Numerical Algorithms.
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Pelin Çiloğlu & Hamdullah Yücel. (2022) Stochastic discontinuous Galerkin methods with low–rank solvers for convection diffusion equations. Applied Numerical Mathematics 172, pages 157-185.
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Xiaobing Feng, Junshan Lin & Cody Lorton. (2019) A Multi-modes Monte Carlo Interior Penalty Discontinuous Galerkin Method for the Time-Harmonic Maxwell’s Equations with Random Coefficients. Journal of Scientific Computing 80:3, pages 1498-1528.
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Yan Luo & Zhu Wang. (2019) A Multilevel Monte Carlo Ensemble Scheme for Random Parabolic PDEs. SIAM Journal on Scientific Computing 41:1, pages A622-A642.
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Mahboub Baccouch. (2018) A stochastic local discontinuous Galerkin method for stochastic two-point boundary-value problems driven by additive noises. Applied Numerical Mathematics 128, pages 43-64.
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Yan Luo & Zhu Wang. (2018) An Ensemble Algorithm for Numerical Solutions to Deterministic and Random Parabolic PDEs. SIAM Journal on Numerical Analysis 56:2, pages 859-876.
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X. Feng & C. Lorton. (2017) An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media. Computer Methods in Applied Mechanics and Engineering 315, pages 141-168.
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Xiaobing Feng, Junshan Lin & Cody Lorton. (2015) An Efficient Numerical Method for Acoustic Wave Scattering in Random Media. SIAM/ASA Journal on Uncertainty Quantification 3:1, pages 790-822.
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