153 citations · 333 across the 25 of their papers we have counts for
3 papers · 2 filters
Breaking spaces and forms for the DPG method and applications including Maxwell equations
C. Carstensen, L. Demkowicz, J. Gopalakrishnan
Discontinuous Petrov Galerkin (DPG) methods are made easily implementable using `broken' test spaces, i.e., spaces of functions with no continuity constraints across mesh element i…
Stabilization in relation to wavenumber in HDG methods
J. Gopalakrishnan, S. Lanteri, N. Olivares +1
Simulation of wave propagation through complex media relies on proper understanding of the properties of numerical methods when the wavenumber is real and complex. Numerical method…
A tent pitching scheme motivated by Friedrichs theory
Jay Gopalakrishnan, Peter Monk, Paulina Sepulveda
Certain Friedrichs systems can be posed on Hilbert spaces normed with a graph norm. Functions in such spaces arising from advective problems are found to have traces with a weak co…