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Mortar finite volume element method with Crouzeix–Raviart element for parabolic problems

✍ Scribed by Chunjia Bi; Wenbin Chen

Book ID
108057484
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
227 KB
Volume
58
Category
Article
ISSN
0168-9274

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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

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## Abstract In this article a standard mortar finite element method and a mortar element method with Lagrange multiplier are used for spatial discretization of a class of parabolic initial‐boundary value problems. Optimal error estimates in __L__^__∞__^(__L__^2^) and __L__^__∞__^(__H__^1^)‐norms fo