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New results concerning the DWR method for some nonconforming FEM
Applications of Mathematics, Tome 57 (2012) no. 6, pp. 551-568 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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This paper presents a unified framework for the dual-weighted residual (DWR) method for a class of nonconforming FEM. Our approach is based on a modification of the dual problem and uses various ideas from literature which are combined in a new manner. The results are new error identities for some nonconforming FEM. Additionally, a posteriori error estimates with respect to the discrete $H^1$-seminorm are derived.
This paper presents a unified framework for the dual-weighted residual (DWR) method for a class of nonconforming FEM. Our approach is based on a modification of the dual problem and uses various ideas from literature which are combined in a new manner. The results are new error identities for some nonconforming FEM. Additionally, a posteriori error estimates with respect to the discrete $H^1$-seminorm are derived.
DOI : 10.1007/s10492-012-0033-8
Classification : 35J05, 65N15, 65N30
Keywords: nonconforming finite elements; dual-weighted residual method; a posteriori error estimate; Poisson equation; finite element method; Helmholtz decomposition 
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     author = {Vanselow, Reiner},
     title = {New results concerning the {DWR} method for some nonconforming {FEM}},
     journal = {Applications of Mathematics},
     pages = {551--568},
     year = {2012},
     volume = {57},
     number = {6},
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     zbl = {1274.65293},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0033-8/}
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Vanselow, Reiner. New results concerning the DWR method for some nonconforming FEM. Applications of Mathematics, Tome 57 (2012) no. 6, pp. 551-568. doi: 10.1007/s10492-012-0033-8

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