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Analysis and approximations of Dirichlet boundary control of Stokes flows in the energy space
W. Gong, M. Mateos, J. Singler +1
We study Dirichlet boundary control of Stokes flows in 2D polygonal domains. We consider cost functionals with two different boundary control regularization terms: the norm a…
Superconvergent Interpolatory HDG methods for reaction diffusion equations II: HHO-inspired methods
Gang Chen, Bernardo Cockburn, John R Singler +1
In J. Sci. Comput., 81: 2188-2212, 2019, we considered a superconvergent hybridizable discontinuous Galerkin (HDG) method, defined on simplicial meshes, for scalar reaction diffusi…
norm error estimates for HDG methods applied to the Poisson equation with an application to the Dirichlet boundary control problem
Gang Chen, Peter Monk, Yangwen Zhang
We prove quasi-optimal norm error estimates (up to logarithmic factors) for the solution of Poisson's problem by the standard Hybridizable Discontinuous Galerkin (HDG) m…
HDG and CG methods for the Indefinite Time-Harmonic Maxwell's Equations under minimal regularity
Gang Chen, Peter Monk, Yangwen Zhang
We propose to use a hybridizable discontinuous Galerkin (HDG) method combined with the continuous Galerkin (CG) method to approximate Maxwell's equations. We make two contributions…