Abstract
Here we deal with the numerical solution of optimum design problems using computers. Of the three numerical methods for solving elliptic partial differential equations, the finite element method (FEM) is the obvious one to choose to use when the domains are the unknowns. We see that the FEM yields much simpler gradients than either the finite difference method or the boundary element method; these two methods are presented in Chapter 8. The FEM is presented first for a Neumann problem. Two other cases, a Dirichlet problem and a transmission problem, are treated.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Pironneau, O. (1984). Discretization with Finite Elements. In: Optimal Shape Design for Elliptic Systems. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87722-3_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-87722-3_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-87724-7
Online ISBN: 978-3-642-87722-3
eBook Packages: Springer Book Archive