Numerical solution of a two-dimensional hyperbolic transmission problem

✍ Scribed by Boško S. Jovanović; Lubin G. Vulkov

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 443 KB
• Volume: 235
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2010.05.045

✦ Synopsis

An initial boundary value problem for a two-dimensional hyperbolic equation in two disjoint rectangles is investigated. The existence and uniqueness and a priori estimates for weak solutions in appropriate Sobolev-like spaces are proved. Few finite difference schemes approximating this problem are proposed and analyzed.