An efficient technique for solving linear conservative wave propagation problem. (English) Zbl 0980.65102
Iliev, O. P. (ed.) et al., Recent advances in numerical methods and applications. Proceedings of the 4th international conference, NMA ’98, Sofia, Bulgaria, August 19-23, 1998. Singapore: World Scientific. 861-866 (1999).
Summary: The purpose of this work is to minimize the computational time in the Newmark scheme for solving linear elastic wave propagation problem. A relation between the error due to the inexact solution of the linear system of algebraic equations, the degree of polynomial that approximate the inverse matrix and Courant number is found. An optimization problem is formulated and solved.
For the entire collection see [Zbl 0964.00049].
For the entire collection see [Zbl 0964.00049].
MSC:
| 65M20 | Method of lines for initial value and initial-boundary value problems involving PDEs |
| 35L05 | Wave equation |
