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


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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