The Boundary Layer Scheme for a Singularly Perturbed Problem for the Second Order Elliptic Equation in the Rectangle

Su Yu-cheng

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1987 > 8(3): 199-206

Su Yu-cheng. The Boundary Layer Scheme for a Singularly Perturbed Problem for the Second Order Elliptic Equation in the Rectangle[J]. Applied Mathematics and Mechanics, 1987, 8(3): 199-206.

Citation:

Su Yu-cheng. The Boundary Layer Scheme for a Singularly Perturbed Problem for the Second Order Elliptic Equation in the Rectangle[J]. Applied Mathematics and Mechanics, 1987, 8(3): 199-206.

Citation:

Su Yu-cheng. The Boundary Layer Scheme for a Singularly Perturbed Problem for the Second Order Elliptic Equation in the Rectangle[J]. Applied Mathematics and Mechanics, 1987, 8(3): 199-206.

PDF( 461 KB)

The Boundary Layer Scheme for a Singularly Perturbed Problem for the Second Order Elliptic Equation in the Rectangle

Su Yu-cheng

Nanjing University, Nanjing

Received Date: 1986-01-05
Publish Date: 1987-03-15

Abstract

Abstract

Using singularly perturbation theory is constructed the boundary layer scheme for a Dirichlet problem for the second order singularly perturbed equation of elliptic type in the rectangle. The error estimate is given.

FullText(HTML)

References(6)

References

[1]	苏煜城,《奇异摄动中的边界层校正法》,上海科技出版社(1983).
[2]	Emelyanov, K.V., A differenee scheme for the equation εΔu+au_x1=ƒ, Difference Methods for the Solution of Boundary Problems and Discontinous Boundary Data, ed.G.I, Shishkin, Sverdlovsk(1976), 19-37.
[3]	Emelyanov, K.V., On a difference scheme for a differential equation with a small parameter affecting the highest derivative, Num.Meth.Mech.Cont.Media, 1, 5(1970).
[4]	Miller, J.J.H., Construction of an FEM for a Singularly Perturbed Problem in Two Dimensions, ISNM'31, Birkhäuser Verlag, Basel(1976), 165-169.
[5]	Hsio, G.C.and K.E.Jordan, Solution to the Difference Equations of Singular Perturbation Problem in NASPP, P.W.Hemker and J.J.H.Miller, eds., Academic Press, London(1979), 433-440.
[6]	Butuzov, V.F., On asymptotic of solutions of singularly perturbed equations of elliptic type in the rectangle, Differential Equations, 11, 6(1975).