The authors derive and numerically verify parameter-robust preconditioners for statically condensed HDG systems applied to the time-dependent Stokes equations.
Preconditioning of a hybridized discontinuous Galerkin finite element method for the Stokes equations.Journal of Scientific Computing, 77(3):1936–1952, 2018
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Parameter-robust preconditioners are designed and analyzed for the statically condensed HDG discretization of the Stokes-Darcy system by first proving uniform well-posedness and then applying operator-preconditioning frameworks.
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Robust preconditioning for an HDG discretization of the time-dependent Stokes equations
The authors derive and numerically verify parameter-robust preconditioners for statically condensed HDG systems applied to the time-dependent Stokes equations.
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Preconditioning of a hybridizable discontinuous Galerkin method for the coupled Stokes--Darcy system
Parameter-robust preconditioners are designed and analyzed for the statically condensed HDG discretization of the Stokes-Darcy system by first proving uniform well-posedness and then applying operator-preconditioning frameworks.