The weak Galerkin(WG)method is a nonconforming numerical method for solving partial differential equations.In this paper,we introduce the WG method for elliptic equations with Newton boundary condition in bounded doma...The weak Galerkin(WG)method is a nonconforming numerical method for solving partial differential equations.In this paper,we introduce the WG method for elliptic equations with Newton boundary condition in bounded domains.The Newton boundary condition is a nonlinear boundary condition arising from science and engineering applications.We prove the well-posedness of the WG scheme by the monotone operator theory and the embedding inequality of weak finite element functions.The error estimates are derived.Numerical experiments are presented to verify the theoretical analysis.展开更多
基金China Postdoctoral Science Foundation through grant 2019M661199 and Postdoctoral Innovative Talent Support Program(BX20190142)Q.Zhai was partially supported by National Natural Science Foundation of China(12271208,11901015)+1 种基金R.Zhang was supported in part by National Natural Science Foundation of China(grant 11971198,11871245,11771179,11826101)the Key Laboratory of Symbolic Computation and Knowledge Engineering of Ministry of Education of China(housed at Jilin University).
文摘The weak Galerkin(WG)method is a nonconforming numerical method for solving partial differential equations.In this paper,we introduce the WG method for elliptic equations with Newton boundary condition in bounded domains.The Newton boundary condition is a nonlinear boundary condition arising from science and engineering applications.We prove the well-posedness of the WG scheme by the monotone operator theory and the embedding inequality of weak finite element functions.The error estimates are derived.Numerical experiments are presented to verify the theoretical analysis.
