Wyniki wyszukiwania

1

Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik

The method of nets for the equations of the deformations of a cylindrical shell

100%

Dryja M.

Mathematica Applicanda

|

1976

|

tom 4

|

nr 8

PL

Artykuł nie zawiera streszczenia

EN

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. The considerations in the paper have a more general character and may be useful in solving the elliptic partial differential equations with mixed boundary conditions by a finite difference technique. (MR0446039)

2

Alternating direction Galerkin method for quasilinear parabolic equations

100%

Dryja M.

Mathematica Applicanda

|

1979

|

tom 7

|

nr 15

PL

MR0549983

EN

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 some assumptions concerning the coefficients ai, i=0,1,2, an estimate of the error is given.

3

Alternating direction Galerkin method with capacitance matrix for the parabolic problem with natural boundary condition

88%

Dryja M.

Banach Center Publications

|

1984

|

tom 13

|

nr 1

725-736

Ograniczanie wyników

2 Mathematica Applicanda

1 Banach Center Publications

3 Dryja M.

1 1984

1 1979

1 1976

The method of nets for the equations of the deformations of a cylindrical shell

Alternating direction Galerkin method for quasilinear parabolic equations

Alternating direction Galerkin method with capacitance matrix for the parabolic problem with natural boundary condition