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math.NA2013★ 24 cited
An HDG method for linear elasticity with strong symmetric stresses
Weifeng Qiu, Jiguang Shen, Ke Shi
This paper presents a new hybridizable discontinuous Galerkin (HDG) method for linear elasticity on general polyhedral meshes, based on a strong symmetric stress formulation. The k…
math.NA2013
A multiscale HDG method for second order elliptic equations. Part I. Polynomial and homogenization-based multiscale spaces
Yalchin Efendiev, Raytcho Lazarov, Ke Shi
We introduce a finite element method for numerical upscaling of second order elliptic equations with highly heterogeneous coefficients. The method is based on a mixed formulation o…