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Cover Art
PRINTED BOOKS
Author Pozrikidis, C. (Constantine), 1958-

Title A practical guide to boundary element methods with the software library BEMLIB / by Costas Pozrikidis.

Published Boca Raton : Chapman & Hall/CRC Press, 2002.

Copies

Location Call No. Status
 UniM ERC  518.64028553 POZR    AVAILABLE
Physical description xiii, 423 pages ; 24 cm
Bibliography Includes bibliographical references and index.
Contents 1 Laplace's equation in one dimension 1 -- 1.1 Green's first and second identities and the reciprocal relation 1 -- 1.2 Green's functions 2 -- 1.3 Boundary-value representation 7 -- 1.4 Boundary-value equation 8 -- 2 Laplace's equation in two dimensions 9 -- 2.1 Green's first and second identities and the reciprocal relation 9 -- 2.2 Green's functions 12 -- 2.3 Integral representation 19 -- 2.4 Integral equations 28 -- 2.5 Hypersingular integrals 36 -- 2.6 Irrotational flow 44 -- 2.7 Generalized single- and double-layer representations 47 -- 3 Boundary-element methods for Laplace's equation in two dimensions 53 -- 3.1 Boundary element discretization 53 -- 3.2 Discretization of the integral representation 63 -- 3.3 Boundary-element collocation method 74 -- 3.4 Isoparametric cubic-splines discretization 77 -- 3.5 High-order collocation methods 80 -- 3.6 Galerkin and global expansion methods 86 -- 4 Laplace's equation in three dimensions 91 -- 4.1 Green's first and second identities and the reciprocal relation 91 -- 4.2 Green's functions 93 -- 4.3 Integral representation 100 -- 4.4 Integral equations 102 -- 4.5 Axisymmetric fields in axisymmetric domains 106 -- 5 Boundary-element methods for Laplace's equation in three dimensions 111 -- 5.1 Discretization 111 -- 5.2 Three-node flat triangles 117 -- 5.3 Six-node curved triangles 122 -- 5.4 High-order expansions 127 -- 6 Inhomogeneous, nonlinear, and time-dependent problems 131 -- 6.1 Distributed source and domain integrals 132 -- 6.2 Particular solutions and dual reciprocity in one dimension 134 -- 6.3 Particular solutions and dual reciprocity in two and three dimensions 141 -- 6.4 Convection-diffusion equation 150 -- 6.5 Time-dependent problems 154 -- 7 Viscous flow 161 -- 7.1 Governing equations 161 -- 7.2 Stokes flow 165 -- 7.3 Boundary integral equations in two dimensions 171 -- 7.4 Boundary-integral equations in three dimensions 175 -- 7.5 Boundary-element methods 178 -- 7.6 Interfacial dynamics 180 -- 7.7 Unsteady, Navier-Stokes, and non-Newtonian flow 182 -- 8 Bemlib user guide 191 -- 8.1 General information 191 -- 8.2 Terms and conditions 192 -- 8.3 Directory contents 193 -- 9 Directory: grids 197 -- grid_2d 198 -- trgl 203 -- 10 Directory: laplace 207 -- lgf_2d 209 -- lgf_3d 230 -- lgf_ax 245 -- flow_ld 254 -- flow_ld_lp 261 -- flow_2d 265 -- body_2d 270 -- body_ax 276 -- tank_2d 281 -- ldr_3d 287 -- lnm_3d 291 -- 11 Directory: helmholtz 295 -- flow_ld_osc 296 -- 12 Directory: stokes 301 -- sgf_2d 302 -- sgf_3d 329 -- sgf_ax 349 -- flow_2d 364 -- prtcl_sw 371 -- prtcl_2d 376 -- prtcl_ax 385 -- prtcl_3d 390 -- Appendix A Mathematical supplement 397 -- Appendix B Gauss elimination and linear solvers 403 -- Appendix C Elastostatics 407.
Subject Boundary element methods -- Data processing.
Computer programming.
ISBN 1584883235