Explicit finite element error estimates for nonhomogeneous Neumann problems

Qin Li; Xuefeng Liu

Applications of Mathematics (2018)

  • Volume: 63, Issue: 3, page 367-379
  • ISSN: 0862-7940

Abstract

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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 .

How to cite

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Li, Qin, and Liu, Xuefeng. "Explicit finite element error estimates for nonhomogeneous Neumann problems." Applications of Mathematics 63.3 (2018): 367-379. <http://eudml.org/doc/294593>.

@article{Li2018,
abstract = {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 $0.5$.},
author = {Li, Qin, Liu, Xuefeng},
journal = {Applications of Mathematics},
keywords = {finite element methods; nonhomogeneous Neumann problems; explicit error estimates},
language = {eng},
number = {3},
pages = {367-379},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Explicit finite element error estimates for nonhomogeneous Neumann problems},
url = {http://eudml.org/doc/294593},
volume = {63},
year = {2018},
}

TY - JOUR
AU - Li, Qin
AU - Liu, Xuefeng
TI - Explicit finite element error estimates for nonhomogeneous Neumann problems
JO - Applications of Mathematics
PY - 2018
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 63
IS - 3
SP - 367
EP - 379
AB - 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 $0.5$.
LA - eng
KW - finite element methods; nonhomogeneous Neumann problems; explicit error estimates
UR - http://eudml.org/doc/294593
ER -

References

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