An Efficient Technique for Solving Linear Elastic Wave
Propagation Problem
N. Petrov and M. Mikrenska
Abstract
The purpose of this work is to minimize the computational time in
Newmark scheme for solving linear elastic wave propagation problem.
A relation between the error due to unexact solution of the linear system
of algebraic equations, the degree of polynomial that approximate the
inverse matrix and Courant number is found. The optimal value of Courant
number minimizing arithmetic operations is determined. It implies the
optimal choice of time step and polynomial degree that ensure required
accuracy in time T.