73 citations · 330 across the 23 of their papers we have counts for
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Constrained particle-mesh projections in a hybridized discontinuous Galerkin framework with applications to advection-dominated flows
Jakob M. Maljaars, Robert Jan Labeur, Nathaniel Trask +1
By combining concepts from particle-in-cell (PIC) and hybridized discontinuous Galerkin (HDG) methods, we present a particle-mesh scheme which allows for diffusion-free advection,…
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…
An asymptotically compatible meshfree quadrature rule for non-local problems with applications to peridynamics
Nathaniel Trask, Huaiqian You, Yue Yu +1
We present a meshfree quadrature rule for compactly supported non-local integro-differential equations (IDEs) with radial kernels. We apply this rule to develop a strong-form meshf…