A p-adaptive HDG-SEM for electrostatic PIC simulations reduces global degrees of freedom by locally increasing polynomial order where gradients are strong.
A Hybridizable Discontinuous Galerkin Method for Steady-State Convection-Diffusion- Reaction Problems.SIAM Journal on Scientific Computing, 31(5):3827–3846, 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.