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Explicit bound for quadratic Lagrange interpolation constant on triangular finite elements

  • Published:2018-02 Issue: Volume:319 Page:693-701
  • ISSN:0096-3003
  • Container-title:Applied Mathematics and Computation
  • language:en
  • Short-container-title:Applied Mathematics and Computation

Author:

Liu Xuefeng,You Chun’guang

Funder

Japan Society for the Promotion of Science

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference18 articles.

1. The Finite Element Method for Elliptic Problems;Ciarlet,2002

2. The Mathematical Theory of Finite Element Methods;Brenner,2008

3. Berechenbare fehlerschranken fÿr die methode der finite elemente;Natterer;Int. Ser. Numer. Math.,1975

4. Computable error bounds in finite-element method;Lehmann;IMA J. Numer. Anal.,1986

5. Analysis and estimation of error constants for P0 and P1 interpolations over triangular finite elements;Liu;J. Math. Sci. Univ. Tokyo,2010

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1. Projection-based guaranteedL2error bounds for finite element approximations of Laplace eigenfunctions;Journal of Computational and Applied Mathematics;2023-09

2. Guaranteed Lower Eigenvalue Bounds for Steklov Operators Using Conforming Finite Element Methods;Computational Methods in Applied Mathematics;2023-03-29

3. Error-constant estimation under the maximum norm for linear Lagrange interpolation;Journal of Inequalities and Applications;2022-08-13

4. Fully computable a posteriori error bounds for eigenfunctions;Numerische Mathematik;2022-07-13

5. LAGRANGE INTERPOLATION ON TIME SCALES;Journal of Applied Analysis & Computation;2022
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