Abstract
In this chapter, we describe several of the more popular variational methods for the approximate solution of boundary-and initial-value problems. For ease in presentation, we confine our attention to linear problems, and most of what we present has to do with elliptic boundary-value problems. In particular, we discuss interpolation properties of finite element methods, existence and uniqueness of solutions to the approximate problem, and convergence and error estimates of finite element methods for linear elliptic problems. More detailed accounts of linear elliptic problems can be found in [47, 109, 135].
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
© 1976 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Oden, J.T., Reddy, J.N. (1976). Variational Methods of Approximation. In: Variational Methods in Theoretical Mechanics. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96312-4_7
Download citation
DOI: https://doi.org/10.1007/978-3-642-96312-4_7
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07600-1
Online ISBN: 978-3-642-96312-4
eBook Packages: Springer Book Archive