Effective numerical viscosity in spectral multidomain penalty method-based simulations of localized turbulence. - Peter J. Diamessis; Yi-Chung Lin 002; J. Andrzej Domaradzki (J. Comput. Phys., 2008)

High-order discontinuous element-based schemes for the inviscid shallow water equations: Spectral multidomain penalty and discontinuous Galerkin methods. - J. A. Escobar-Vargas; Peter J. Diamessis; Francis X. Giraldo (Appl. Math. Comput., 2012)

A post-processing technique for stabilizing the discontinuous pressure projection operator in marginally-resolved incompressible inviscid flow. - Sumedh M. Joshi; Peter J. Diamessis; Derek T. Steinmoeller; Marek Stastna; Greg N. Thomsen (CoRR, 2015)

Deflation-accelerated preconditioning of the Poisson-Neumann Schur problem on long domains with a high-order discontinuous element-based collocation method. - Sumedh M. Joshi; Greg N. Thomsen; Peter J. Diamessis (J. Comput. Phys., 2016)