Least-Squares Finite Element Methods
The book examines theoretical and computational aspects of least-squares finite element methods(LSFEMs) for partial differential equations (PDEs) arising in key science and engineering applications. It is intended for mathematicians, scientists, and engineers interested in either or both the theory...
| Main Authors: | , |
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| Corporate Author: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York,
2009.
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| Series: | Applied Mathematical Sciences,
166 |
| Subjects: | |
| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Survey of Variational Principles and Associated Finite Element Methods.
- Classical Variational Methods
- Alternative Variational Formulations
- Abstract Theory of Least-Squares Finite Element Methods
- Mathematical Foundations of Least-Squares Finite Element Methods
- The Agmon#x2013;Douglis#x2013;Nirenberg Setting for Least-Squares Finite Element Methods
- Least-Squares Finite Element Methods for Elliptic Problems
- Scalar Elliptic Equations
- Vector Elliptic Equations
- The Stokes Equations
- Least-Squares Finite Element Methods for Other Settings
- The Navier#x2013;Stokes Equations
- Parabolic Partial Differential Equations
- Hyperbolic Partial Differential Equations
- Control and Optimization Problems
- Variations on Least-Squares Finite Element Methods
- Supplementary Material
- Analysis Tools
- Compatible Finite Element Spaces
- Linear Operator Equations in Hilbert Spaces
- The Agmon#x2013;Douglis#x2013;Nirenberg Theory and Verifying its Assumptions.
