63 citations · 308 across the 48 of their papers we have counts for
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An Improved Iterative HDG Approach for Partial Differential Equations
Sriramkrishnan Muralikrishnan, Minh-Binh Tran, Tan Bui-Thanh
We propose and analyze an iterative high-order hybridized discontinuous Galerkin (iHDG) discretization for linear partial differential equations. We improve our previous work (SIAM…
IMEX HDG-DG: a coupled implicit hybridized discontinuous Galerkin (HDG) and explicit discontinuous Galerkin (DG) approach for shallow water systems
Shinhoo Kang, Francis X. Giraldo, Tan Bui-Thanh
We propose IMEX HDG-DG schemes for planar and spherical shallow water systems. Of interest is subcritical flow, where the speed of the gravity wave is faster than that of nonlinear…
Analysis of an HDG Method for Linearized Incompressible Resistive MHD Equations
Jeonghun J. Lee, Stephen Shannon, Tan Bui-Thanh +1
We present a hybridized discontinuous Galerkin (HDG) method for stationary linearized incompressible magnetohydrodynamics (MHD) equations. At the heart of the paper is the introduc…