153 citations · 333 across the 25 of their papers we have counts for
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Divergence-conforming velocity and vorticity approximations for incompressible fluids obtained with minimal facet coupling
Jay Gopalakrishnan, Lukas Kogler, Philip L. Lederer +1
We introduce two new lowest order methods, a mixed method, and a hybrid Discontinuous Galerkin (HDG) method, for the approximation of incompressible flows. Both methods use diverge…
Computing leaky modes of optical fibers using a FEAST algorithm for polynomial eigenproblems
Jay Gopalakrishnan, Benjamin Quanah Parker, Pieter Vandenberge
An efficient contour integral technique to approximate a cluster of nonlinear eigenvalues of a polynomial eigenproblem, circumventing certain large inversions from a linearization,…
Convergence analysis of some tent-based schemes for linear hyperbolic systems
Dow Drake, Jay Gopalakrishnan, Joachim Schöberl +1
Finite element methods for symmetric linear hyperbolic systems using unstructured advancing fronts (satisfying a causality condition) are considered in this work. Convergence resul…