Numerical Methods for Nonlinear Partial Differential Equations [electronic resource] by Sören Bartels.

The description of many interesting phenomena in science and engineering leads to infinite-dimensional minimization or evolution problems that define nonlinear partial differential equations. While the development and analysis of numerical methods for linear partial differential equations is nearly...

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Bibliographic Details
Uniform Title:Springer Series in Computational Mathematics, 2198-3712 ; 47
Main Author: Bartels, Sören (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Springer Series in Computational Mathematics, 47
Subjects:
Numerical analysis.
Differential equations.
Algorithms.
Mathematical optimization.
Calculus of variations.
Online Access:
Springer English/International eBooks 2015 - Full Set: 2015 (Springer Link)
Format: Electronic eBook
Contents:
  • 1. Introduction
  • Part I: Analytical and Numerical Foundations
  • 2. Analytical Background
  • 3. FEM for Linear Problems
  • 4. Concepts for Discretized Problems
  • Part II: Approximation of Classical Formulations
  • 5. The Obstacle Problem
  • 6. The Allen-Cahn Equation
  • 7. Harmonic Maps
  • 8. Bending Problems
  • Part III: Methods for Extended Formulations
  • 9. Nonconvexity and Microstructure
  • 10. Free Discontinuities
  • 11. Elastoplasticity
  • Auxiliary Routines
  • Frequently Used Notation
  • Index.