Geodesic
Application of the stationary Galerkin method to the first boundary value problem for a mixed high-order equation
Matematičeskie zametki SVFU, Tome 23 (2016), pp. 73-81

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We consider the first boundary value problem for a mixed even-order equation and construct an approximate solution using the stationary Galerkin method. The existence of a regular solution for the boundary value problem is proved under certain conditions on coefficients of the equation. We obtain the error estimate of the Galerkin method.
Keywords: Galerkin method, mixed type equation, regular solution, a priori estimate. 
@article{SVFU_2016_23_a5,
     author = {I. M. Tikhonova},
     title = {Application of the stationary {Galerkin} method to the first boundary value problem for a mixed high-order equation},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {73--81},
     publisher = {mathdoc},
     volume = {23},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2016_23_a5/}
}
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I. M. Tikhonova. Application of the stationary Galerkin method to the first boundary value problem for a mixed high-order equation. Matematičeskie zametki SVFU, Tome 23 (2016), pp. 73-81. http://geodesic.mathdoc.fr/item/SVFU_2016_23_a5/