Analysis Solution Manual
© Leon van Dommelen
Next:
19.1 Introduction
19
. Green’s Functions
Subsections
19
.
1
Introduction
19
.
1
.
1
The one-dimensional Poisson equation
19
.
1
.
1
.
1
Solution gf1d-a
19
.
1
.
1
.
2
Solution gf1d-b
19
.
1
.
2
More on delta and Green’s functions
19
.
2
The Poisson equation in infinite space
19
.
2
.
1
Overview
19
.
2
.
2
Loose derivation
19
.
2
.
2
.
1
Solution pninfl-a
19
.
2
.
3
Rigorous derivation
19
.
3
The Poisson or Laplace equation in a finite region
19
.
3
.
1
Overview
19
.
3
.
2
Intro to the solution procedure
19
.
3
.
3
Derivation of the integral solution
19
.
3
.
3
.
1
Solution pnfd-a
19
.
3
.
4
Boundary integral (panel) methods
19
.
3
.
5
Poisson’s integral formulae
19
.
3
.
6
Derivation
19
.
3
.
6
.
1
Solution pnifd-a
19
.
3
.
6
.
2
Solution pnifd-b
19
.
3
.
7
The integral formula for the Neumann problem
19
.
3
.
8
Smoothness of the solution
Next:
19.1 Introduction
FAMU-FSU College of Engineering
Processed with l2h
