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.