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math.NA2021★ 1 cited
Sparse Spectral-Galerkin Method on An Arbitrary Tetrahedron Using Generalized Koornwinder Polynomials
Lueling Jia, Huiyuan Li, Zhimin Zhang
In this paper, we propose a sparse spectral-Galerkin approximation scheme for solving the second-order partial differential equations on an arbitrary tetrahedron. Generalized Koorn…
math.NA2021★ 1 cited
A -conforming Petrov-Galerkin method for convection-diffusion equations and superconvergence ananlysis over rectangular meshes
Waixiang Cao, Lueling Jia, Zhimin Zhang
In this paper, a new -conforming Petrov-Galerkin method for convection-diffusion equations is designed and analyzed. The trail space of the proposed method is a -conformi…