Geodesic
Convergence of the adapting grid method of Bakhvalov's type for singularly perturbed boundary value problems
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 1, pp. 47-59

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We consider the Galerkin finite element method for non-self-adjoint boundary value problems on Bakhvalov's grids. Using the Galerkin projections method the convergence of a sequence of computational grids with an unknown boundary of the boundary layer has been proved. Numerical examples are presented. 
@article{SJVM_2016_19_1_a5,
     author = {I. A. Blatov and E. V. Kitaeva},
     title = {Convergence of the adapting grid method of {Bakhvalov's} type for singularly perturbed boundary value problems},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {47--59},
     publisher = {mathdoc},
     volume = {19},
     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2016_19_1_a5/}
}
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I. A. Blatov; E. V. Kitaeva. Convergence of the adapting grid method of Bakhvalov's type for singularly perturbed boundary value problems. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 19 (2016) no. 1, pp. 47-59. http://geodesic.mathdoc.fr/item/SJVM_2016_19_1_a5/