A Finite Element - Capacitane Method for Elliptic Problems on Regions Partitioned into Subregions.
A Capacitance Matrix Method for Dirichlet Problem on Polygon Region.
Alternating direction Galerkin method with capacitance matrix for the parabolic problem with natural boundary condition
The method of nets for the equations of the deformations of a cylindrical shell
A numerical method of solution of the static problem for a finite elastic cylindrical shell with general mixed boundary conditions is presented. The existence and uniqueness of the solution of the problem considered is proved first. Then the differential governing equations are discretized by means of the stable and convergent difference schemes. The resultant algebraic equations are solved by an iterative technique requiring the smallest number of arithmetic operations. No particular case is computed....
Alternating direction Galerkin method for quasilinear parabolic equations
Consider the following parabolic equation: (1) ∂u/∂t−∑2i=1(d/dxi)ai(x,t,u,D1u,D2u)+a0(x,t,u,D1u,D2u)=f(x,t), x=(x1,x2)∈Ω⊂R2, t∈[0,T], with the initial value condition u(x,0)=u0(x), x∈Ω, and with the boundary value condition u(x,t)=0, x∈∂Ω, t∈[0,T]. For the solution of equation (1) the author proposes a variational-difference method. Namely, he approximates equation (1) by Galerkin's method with respect to the variables x1,x2 and by the finite-difference method with respect to the variable t. Under...
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