## Table of contents for A practical guide to boundary element methods with the software library BEMLIB / C. Pozrikidis.

Bibliographic record and links to related information available from the Library of Congress catalog. Note: Electronic data is machine generated. May be incomplete or contain other coding.

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1  Laplace's equation in one dimension
1.1 Green's first and second identities and the reciprocal relation
1.2 Green's functions
1.3 Boundary-value representation
1.4 Boundary-value equation

2  Laplace's equation in two dimensions
2.1  Green's first and second identities and the reciprocal relation
2.2 Green's functions
2.3 Integral representation
2.4 Integral equations
2.5 Hypersingular integrals
2.6 Irrotational flow
2.7 Generalized single- and double-layer representations

3  Boundary-element methods for Laplace's equation in two dimensions
3.1 Boundary element discretization
3.2 Discretization of the integral representation
3.3 The boundary-element collocation method
3.4 Isoparametric cubic-splines discretization
3.5 High-order collocation methods
3.6 Galerkin and global expansion methods

4  Laplace's equation in three dimensions
4.1 Green's first and second identities and the reciprocal relation
4.2 Green's functions
4.3 Integral representation
4.4 Integral equations
4.5 Axisymmetric fields in axisymmetric domains

5  Boundary-element methods for Laplace's equation in three dimensions
5.1 Discretization
5.2 Three-node flat triangles
5.3 Six-node curved triangles
5.4 High-order expansions

6 Inhomogeneous, nonlinear, and time-dependent problems
6.1 Distributed source and domain integrals
6.2 Particular solutions and dual reciprocity in one dimension
6.3 Particular solutions and dual reciprocity in two and three dimensions
6.4 Convection - diffusion equation
6.5 Time-dependent problems

7 Viscous flow
7.1 Governing equations
7.2 Stokes flow
7.3 Boundary integral equations in two dimensions
7.4 Boundary-integral equations in three dimensions
7.5 Boundary-element methods
7.6 Interfacial dynamics
7.7 Unsteady, Navier-Stokes, and non-Newtonian flow

8  BEMLIB user guide
8.1 General information
8.2 Terms and conditions
8.3 Directory contents

9 Directory: grids
grid_2d
trgl

10 Directory: laplace
lgf 2d
lgf_3d
lgf_ax
flow-ld
flow-ld_lp
flow_2d
body_2 d
body_ax
tank_2d
ldr_3d
lnm_3d

11 Directory: helmholtz
flow-ld_osc

12 Directory: stokes
sgf_2d
sgf 3d
sgf ax
flow_2d

prtcl_sw
prtcl_2d
prtcl_ax
prtcl_3d

Appendix A Mathematical supplement

Appendix B Gauss elimination and linear solvers

Appendix C Elastostatics

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