Accession Number:

AD0748310

Title:

Bounds for the Change in the Solutions of Second Order Elliptic Partial Differential Equation's When the Boundary is Perturbed,

Descriptive Note:

Corporate Author:

EG AND G INC LAS VEGAS NEV

Personal Author(s):

• Blair,J. J.

Report Date:

1971-10-05

Pagination or Media Count:

21.0

Abstract:

Let omega be a smooth bounded subset of R sup N and L be a uniformly elliptic second order differential operator with smooth coefficients. The author obtains a bound for the difference between the solution, u, to the equation Lu f in omega with the Dirichlet boundary conditions u 0 on boundary omega, and the solution, u prime, to corresponding boundary value problem on a non-smooth domain omega prime which appriximates omega. The magnitude of the bound depends only on the Euclidean distance between the domains omega and omega prime. Author

Descriptors:

• (*PARTIAL DIFFERENTIAL EQUATIONS
• NUMERICAL INTEGRATION)
• FUNCTIONAL ANALYSIS
• MAPPING(TRANSFORMATIONS)
• SET THEORY
• INEQUALITIES
• THEOREMS

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE