The discrete artificial boundary condition on a polygonal artificial boundary for the exterior problem of Poisson equation by using the direct method of lines

✍ Scribed by Houde Han; Weizhu Bao

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 315 KB
• Volume: 179
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(99)00046-8

✦ Synopsis

The numerical simulation for the exterior problem of Poisson equation is considered. We introduced a polygonal arti®cial boundary C e and designed a discrete arti®cial boundary condition on it by using the direct method of lines. Then the original problem is reduced to a boundary value problem de®ned in a bounded computational domain with a polygonal boundary. The ®nite element approximation of this reduced boundary value problem is considered and it is proved that the ®nite element approximate problem is well posed. Furthermore numerical examples show that the discrete arti®cial boundary condition is very eective and more accurate than the Neumann boundary condition which is often used in engineering literatures.