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Title of Journal: J Sci Comput

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Abbravation: Journal of Scientific Computing

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Springer US

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DOI

10.1002/lipi.19660680319

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1573-7691

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A Posteriori Estimates for a Natural Neumann–Neuma

Authors: D Choï L Gallimard T Sassi
Publish Date: 2014/11/12
Volume: 64, Issue: 3, Pages: 818-836
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Abstract

In this paper we present an error estimator for unilateral contact problems solved by a Neumann–Neumann Domain Decomposition algorithm This error estimator takes into account both the spatial error due to the finite element discretization and the algebraic error due to the domain decomposition algorithm To differentiate specifically the contribution of these two error sources to the global error two quantities are introduced a discretization error indicator and an algebraic error indicator The effectivity indices and the convergence of both the global error estimator and the error indicators are shown on several examples

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  9. Theoretical and Numerical Investigation of the Finite Cell Method
  10. The Effect of the Consistent Mass Matrix on the Maximum-Principle for Scalar Conservation Equations
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  12. Transformation Methods for the Numerical Integration of Three-Dimensional Singular Functions
  13. Solving 1D Conservation Laws Using Pontryagin’s Minimum Principle
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