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    Abstract:

    The edge residual-based a posteriori error estimates of conforming linear finite element method are studied for the monotone nonlinear elliptic problems. Under the assumption of u \in H1,we prove that the edge residuals dominate a posteriori error estimates, and obtain the computable global upper and local lower bounds on the error of the adaptive finite element method in H1 -norm. Up to higher order terms, edge residuals can be a posteriori error estimators. Numerical examples show the efficiency of the edge residual-based a posteriori error estimators.

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黄自萍 and. A Posteriori Error Estimates of Edge Residual Type of Finite Element Method for Monotone Nonlinear Elliptic Problems[J].同济大学学报(自然科学版),2015,43(9):1438~1442

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History
  • Received:July 30,2014
  • Revised:June 03,2015
  • Adopted:May 25,2015
  • Online: October 26,2015
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