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math.NA2022
A weak Galerkin method and its two-grid algorithm for the quasi-linear elliptic problems of non-monotone type
Peng Zhu, Shenglan Xie
In this article, a weak Galerkin method is firstly presented and analyzed for the quasi-linear elliptic problem of non-monotone type. By using Brouwer's fixed point technique, the…
math.NA2022
A stabilizer-free weak Galerkin method for the biharmonic equations
Peng Zhu, Shenglan Xie, Xiaoshen Wang
In this article, we present and analyze a stabilizer-free weak Galerkin (SF-C0WG) method for solving the biharmonic problem. The SF-C0WG method is formulated in terms of cell…