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Neumann–Neumann algorithms for a mortar Crouzeix–Raviart element for 2nd order elliptic problems

✍ Scribed by L. Marcinkowski; T. Rahman

Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
533 KB
Volume
48
Category
Article
ISSN
0006-3835

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A Neumann–Neumann algorithm for a mortar
A Neumann–Neumann algorithm for a mortar finite element discretization of fourth-order elliptic problems in 2D
✍ Leszek Marcinkowski 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 168 KB

## Abstract Here we present and analyze a Neumann–Neumann algorithm for the mortar finite element discretization of elliptic fourth‐order problems with discontinuous coefficients. The fully parallel algorithm is analyzed using the abstract Schwarz framework, proving a convergence which is independe

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We construct and analyse a mortar finite volume method for the discretization for selfadjoint elliptic boundary value problems in R 2 . This method is based on the mortar Crouzeix-Raviart non-conforming finite element spaces. We prove the optimal order H 1 -norm and L 2 -norm error estimates between