Accession Number:

AD0735833

Title:

Polygonal Domain Approximation in Dirichlet's Problem.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

• Thomee,Vidar

Report Date:

1971-12-01

Pagination or Media Count:

29.0

Abstract:

Consider Dirichlets problem with vanishing boundary values for Poissons equation in a smooth domain omega in the plane. In the paper upper and lower bounds with respect to different norms are given for the error and the gradient of the error introduced by approximating omega by a polygonal domain omega sub h with side-lengths at most h. Author

Descriptors:

• (*BOUNDARY VALUE PROBLEMS
• *APPROXIMATION(MATHEMATICS))
• PARTIAL DIFFERENTIAL EQUATIONS
• CONVEX SETS
• POTENTIAL THEORY
• INTEGRATION

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE