Frontiers in PDE-Constrained Optimization by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9781493986361
Publisher: Springer New York

(12)

Here, M is the so-called mass matrix, K the stiffness matrix, C the damping matrix, and s is a source term. The size of vector u(t), often termed the number of degrees of freedom, is the number of discrete points prescribed by the numerical method for the spatial discretization.10 In this paper, we will use A s(t) = u(t) to express Equation (12), where A is referred to as the forward operator.

Equation (12) can be transformed in Fourier space, which will conveniently replace every time derivative by a mere multiplication by iω, where i2 = −1, and ω is the angular frequency. The wave equation then becomes a linear system of equations,

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.