Geodesic
Error Estimation for Stationary Galerkin Method for Semilinear Parabolic Equation with Changing Direction of Time
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 3, pp. 43-49

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In a cylindrical domain $Q\subseteq R^{n+1}$ the first boundary value problem for semilinear parabolic equation with changing direction of time is considered. It is developed stationary Galerkin method for the study of boundary value problem. It is proved the existence and uniqueness of solution of the first boundary value problem in the space $W_{2}^{2,1}(Q)$. Error estimation for stationary Galerkin method is obtained in the norm of the space $W_{2}^{1,0}(Q)$ through eigenvalues of selfadjoint spectral problem for the elliptic equation of second order.
Keywords: stationary Galerkin method, approximate solution, inequality
Mots-clés : estimation. 
@article{VNGU_2014_14_3_a3,
     author = {E. S. Efimova and I. E. Egorov and M. S. Kolesova},
     title = {Error {Estimation} for {Stationary} {Galerkin} {Method} for {Semilinear} {Parabolic} {Equation} with {Changing} {Direction} of {Time}},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {43--49},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a3/}
}
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E. S. Efimova; I. E. Egorov; M. S. Kolesova. Error Estimation for Stationary Galerkin Method for Semilinear Parabolic Equation with Changing Direction of Time. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 14 (2014) no. 3, pp. 43-49. http://geodesic.mathdoc.fr/item/VNGU_2014_14_3_a3/