Geodesic
Conditional $\varepsilon$-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1323-1334

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The Galerkin finite element method is applied to nonself-adjoint singularly perturbed boundary value problems on Shishkin meshes. The Galerkin projection method is used to obtain conditionally $\varepsilon$-uniform a priori error estimates and to prove the convergence of a sequence of meshes in the case of an unknown boundary layer edge. 
@article{ZVMMF_2016_56_7_a7,
     author = {I. A. Blatov and N. V. Dobrobog and E. V. Kitaeva},
     title = {Conditional $\varepsilon$-uniform boundedness of {Galerkin} projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1323--1334},
     publisher = {mathdoc},
     volume = {56},
     number = {7},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a7/}
}
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I. A. Blatov; N. V. Dobrobog; E. V. Kitaeva. Conditional $\varepsilon$-uniform boundedness of Galerkin projectors and convergence of an adaptive mesh method as applied to singularly perturbed boundary value problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 7, pp. 1323-1334. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_7_a7/