456 citations · 971 across the 29 of their papers we have counts for
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math.NA2018★ 25 cited
Analysis and entropy stability of the line-based discontinuous Galerkin method
Will Pazner, Per-Olof Persson
We develop a discretely entropy-stable line-based discontinuous Galerkin method for hyperbolic conservation laws based on a flux differencing technique. By using standard entropy-s…
math.NA2018★ 3 cited
Stochastic Discontinuous Galerkin Methods (SDGM) Based on Fluctuation-Dissipation Balance
Will Pazner, Nathaniel Trask, Paul J. Atzberger
We introduce a general framework for approximating parabolic Stochastic Partial Differential Equations (SPDEs) based on fluctuation-dissipation balance. Using this approach we form…
math.NA2018★ 3 cited
On the convergence of iterative solvers for polygonal discontinuous Galerkin discretizations
Will Pazner, Per-Olof Persson
We study the convergence of iterative linear solvers for discontinuous Galerkin discretizations of systems of hyperbolic conservation laws with polygonal mesh elements compared wit…