On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics.
Aliev, Araz R., Gasymov, Aydin A. (2009)
Boundary Value Problems [electronic only]
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On the correct solvability of the boundary-value problem for one class operator-differential equations of the fourth order with complex characteristics.
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The computation of nonlinear quasistationary two-dimensional magnetic fields leads to a nonlinear second order parabolic-elliptic initial-boundary value problem. Such a problem with a nonhomogeneous Dirichlet boundary condition on a part of the boundary is studied in this paper. The problem is discretized in space by the finite element method with linear functions on triangular elements and in time by the implicit-explicit method (the left-hand side by the implicit Euler method and...