A p-adaptive HDG-SEM for electrostatic PIC simulations reduces global degrees of freedom by locally increasing polynomial order where gradients are strong.
The Derivation of Hybridizable Dis- continuous Galerkin Methods for Stokes Flow.SIAM Journal on Numerical Analysis, 47(2):1092–1125, January 2009
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A P-Adaptive Hybridizable Discontinuous Galerkin Spectral Element Method for Electrostatic Particle-in-Cell Simulations
A p-adaptive HDG-SEM for electrostatic PIC simulations reduces global degrees of freedom by locally increasing polynomial order where gradients are strong.