456 citations · 971 across the 29 of their papers we have counts for
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End-to-end GPU acceleration of low-order-refined preconditioning for high-order finite element discretizations
Will Pazner, Tzanio Kolev, Jean-Sylvain Camier
In this paper, we present algorithms and implementations for the end-to-end GPU acceleration of matrix-free low-order-refined preconditioning of high-order finite element problems.…
Low-order preconditioning for the high-order finite element de Rham complex
Will Pazner, Tzanio Kolev, Clark Dohrmann
In this paper we present a unified framework for constructing spectrally equivalent low-order-refined discretizations for the high-order finite element de Rham complex. This theory…
Arbitrary Order Energy and Enstrophy Conserving Finite Element Methods for 2D Incompressible Fluid Dynamics and Drift-Reduced Magnetohydrodynamics
Milan Holec, Ben Zhu, Ilon Joseph +5
Maintaining conservation laws in the fully discrete setting is critical for accurate long-time behavior of numerical simulations and requires accounting for discrete conservation p…
Subcell limiting strategies for discontinuous Galerkin spectral element methods
Andrés M. Rueda-Ramírez, Will Pazner, Gregor J. Gassner
We present a general family of subcell limiting strategies to construct robust high-order accurate nodal discontinuous Galerkin (DG) schemes. The main strategy is to construct comp…