Boundary Element Methods with Applications to Nonlinear Problems

1. Introduction
Goong Chen, Goong Chen, Jianxin Zhou

2. Some Basic Properties of Sobolev Spaces
Goong Chen, Goong Chen, Jianxin Zhou

3. Theory of Distributions
Goong Chen, Goong Chen, Jianxin Zhou

4. Pseudodifferential Operators and Their Fredholm Properties
Goong Chen, Goong Chen, Jianxin Zhou

5. Finite-Element Methods: Spaces and Properties
Goong Chen, Goong Chen, Jianxin Zhou

6. The Potential Equation
Goong Chen, Goong Chen, Jianxin Zhou

7. The Helmholtz Equation
Goong Chen, Goong Chen, Jianxin Zhou

8. The Thin Plate Equation
Goong Chen, Goong Chen, Jianxin Zhou

9. Linear Elastostatics
Goong Chen, Goong Chen, Jianxin Zhou

10. Some Error Estimates for Numerical Solutions of Boundary Integral Equations
Goong Chen, Goong Chen, Jianxin Zhou

11. Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (I): The Monotone Iteration Scheme and Error Estimates
Goong Chen, Goong Chen, Jianxin Zhou

12. Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (II): Algorithms and Computations for Unstable Solutions from Various Models
Goong Chen, Goong Chen, Jianxin Zhou

Nyckelord: Mathematics, Operator Theory, Numerical Analysis