66 citations · 144 across the 22 of their papers we have counts for
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Analysis of hybridized discontinuous Galerkin methods without elliptic regularity assumptions
Jeonghun J. Lee
In this paper we present new stability and optimal error analyses of hybridized discontinuous Galerkin (HDG) methods which do not require elliptic regularity assumptions. To obtain…
A hybridized discontinuous Galerkin method for Poisson-type problems with sign-changing coefficients
Jeonghun J. Lee, Sander Rhebergen
In this paper, we present a hybridized discontinuous Galerkin (HDG) method for Poisson-type problems with sign-changing coefficients. We introduce a sign-changing stabilization par…
High order approximation of Hodge Laplace problems with local coderivatives on cubical meshes
Jeonghun J. Lee
In mixed finite element approximations of Hodge Laplace problems associated with the de Rham complex, the exterior derivative operators are computed exactly, so the spatial localit…
A space-time hybridizable discontinuous Galerkin method for linear free-surface waves
Giselle Sosa Jones, Jeonghun J. Lee, Sander Rhebergen
We present and analyze a novel space-time hybridizable discontinuous Galerkin (HDG) method for the linear free-surface problem on prismatic space-time meshes. We consider a mixed f…
Unconditionally stable second order convergent partitioned methods for multiple-network poroelasticity
Jeonghun J. Lee
In this paper, we consider partitioned numerical methods for quasi-static multiple-network poroelasticity (MPET) equations, generalizations of the Biot model in poroelasticity for…