Approximate solutions and error bounds for quasilinear elliptic boundary value problems

✍ Scribed by To-yat Cheung

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 556 KB
• Volume: 7
• Category: Article
• ISSN: 0022-0000
• DOI: 10.1016/s0022-0000(73)80012-1

✦ Synopsis

An error bound for a quasilinear elliptic boundary value problem (including the case of nonlinear differential boundary conditions) is obtained as a positively weighted sum of the absolute defects of the operator equations. Once an approximate solution is computed, using linear programming, by minimizing this error bound over a discrete grid, a correcponding realistic error bound over the whole domain of definition can also be obtained by solving an associated linear program.