A best approximation evaluation of a finite element calculation

✍ Scribed by Allen C. Robinson; Donald W. Robinson

• Book ID: 104156737
• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 76 KB
• Volume: 302-303
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(99)00175-5

✦ Synopsis

We discuss an electrostatics problem whose solution must lie in the set S of all real n-by-n symmetric matrices with all row sums equal to zero. With respect to the Frobenius norm, we provide an algorithm that finds the member of S which is closest to any given n-by-n matrix, and determines the distance between the two. This algorithm makes it practical to find the distances to S of finite element approximate solutions of the electrostatics problem, and to reject those which are not sufficiently close.