Error estimates using the cell discretization method for second-order hyperbolic equations

✍ Scribed by Howard Swann

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 195 KB
• Volume: 13
• Category: Article
• ISSN: 0749-159X
• DOI: 10.1002/(sici)1098-2426(199709)13:5<531::aid-num5>3.0.co;2-k

✦ Synopsis

The cell discretization algorithm provides approximate solutions to second-order hyperbolic equations with coefficients independent of time. We obtain error estimates that show general convergence for homogeneous problems using semi-discrete approximations. A polynomial implementation of the algorithm is described that is a nonconforming extension of the finite element method that can also produce the continuous approximations of an h -p finite element method. Numerical tests are made that confirm the theoretical estimates.