Boundary Element Methods with Applications to Nonlinear Problems

• Main Authors: Chen, Goong (Author), Zhou, Jianxin (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Paris : Atlantis Press, 2010.
• Series: Atlantis Studies in Mathematics for Engineering and Science, 7
• Subjects: Mathematics.; Operator theory.; Numerical analysis.; Operator Theory.; Numerical Analysis.

Boundary Element Methods have become a major numerical tool in scientific and engineering problem-solving, with particular applications to numerical computations and simulations of partial differential equations in engineering. Boundary Element Methods provides a rigorous and systematic account of t...

Table of Contents:

• Some Basic Properties of Sobolev Spaces
• Theory of Distributions
• Pseudodifferential Operators and Their Fredholm Properties
• Finite-Element Methods: Spaces and Properties
• The Potential Equation
• The Helmholtz Equation
• The Thin Plate Equation
• Linear Elastostatics
• Some Error Estimates for Numerical Solutions of Boundary Integral Equations
• Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (I): The Monotone Iteration Scheme and Error Estimates
• Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (II): Algorithms and Computations for Unstable Solutions from Various Models.