Applications of Mathematics

, Volume 63, Issue 3, pp 367–379 | Cite as

Explicit Finite Element Error Estimates for Nonhomogeneous Neumann Problems

  • Qin Li
  • Xuefeng LiuEmail author


The paper develops an explicit a priori error estimate for finite element solution to nonhomogeneous Neumann problems. For this purpose, the hypercircle over finite element spaces is constructed and the explicit upper bound of the constant in the trace theorem is given. Numerical examples are shown in the final section, which implies the proposed error estimate has the convergence rate as 0.5.


finite element methods nonhomogeneous Neumann problems explicit error estimates 

MSC 2010

65N15 65N30 


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Copyright information

© Institute of Mathematics of the Academy of Sciences of the Czech Republic, Praha, Czech Republic 2018

Authors and Affiliations

  1. 1.School of ScienceBeijing Technology and Business UniversityBeijingP.R. China
  2. 2.Graduate School of Science and TechnologyNiigata UniversityNiigata City, NiigataJapan

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