Iterative methods and parallel solution of the dam problem

✍ Scribed by E. Laitinen; A. Lapin; J. Pieskä

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 247 KB
• Volume: 191
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(01)00276-6

✦ Synopsis

A free boundary problem of ¯uid ¯ow in the porous medium is considered. A ®nite dierence scheme is constructed and written in the form of the inclusion for the sum of several multi-valued operators. The study of this mesh scheme and iterative algorithms of its numerical solution is performed. Solution of the mesh problem by Gauss±Seidel and by Schwarz alternating methods was executed. The numerical results are reported which con®rm the theoretical results.