Buch, Englisch, 440 Seiten, Format (B × H): 159 mm x 241 mm, Gewicht: 735 g
Buch, Englisch, 440 Seiten, Format (B × H): 159 mm x 241 mm, Gewicht: 735 g
ISBN: 978-1-58488-323-4
Verlag: Taylor & Francis Inc
The boundary-element method is a powerful numerical technique for solving partial differential equations encountered in applied mathematics, science, and engineering. The strength of the method derives from its ability to solve with notable efficiency problems in domains with complex and possibly evolving geometry where traditional methods can be demanding, cumbersome, or unreliable. This dual-purpose text provides a concise introduction to the theory and implementation of boundary-element methods, while simultaneously offering hands-on experience based on the software library BEMLIB.BEMLIB contains four directories comprising a collection of FORTRAN 77 programs and codes on Green's functions and boundary-element methods for Laplace, Helmholtz, and Stokes flow problems. The software is freely available from the Internet site: http://bemlib.ucsd.eduThe first seven chapters of the text discuss the theoretical foundation and practical implementation of the boundary-element method. The material includes both classical topics and recent developments, such as methods for solving inhomogeneous, nonlinear, and time-dependent equations. The last five chapters comprise the BEMLIB user guide, which discusses the mathematical formulation of the problems considered, outlines the numerical methods, and describes the structure of the boundary-element codes.A Practical Guide to Boundary Element Methods with the Software Library BEMLIB is ideal for self-study and as a text for an introductory course on boundary-element methods, computational mechanics, computational science, and numerical differential equations.
Zielgruppe
Professionals, researchers, and students in computational science and engineering disciplines, particularly those in fluid mechanics; applied mathematicians working in partial differential equations and numerical methods; physicists involved in fluid dynamics
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
LAPLACE'S EQUATION IN ONE DIMENSIONGreen's First and Second Identities and the Reciprocal Relation Green's FunctionsBoundary-Value Representation Boundary-Value EquationLAPLACE'S EQUATION IN TWO DIMENSIONS Green's First and Second Identities and the Reciprocal RelationGreen's Functions Integral Representation Integral Equations Hypersingular Integrals Irrotational FlowGeneralized Single- and Double-Layer Representations BOUNDARY-ELEMENT METHODS FOR LAPLACE'S EQUATION IN TWO DIMENSIONSBoundary Element Discretization.Discretization of the Integral Representation The Boundary-Element Collocation MethodIsoparametric Cubic-Splines Discretization High-Order Collocation Methods Galerkin and Global Expansion MethodsLAPLACE'S EQUATION IN THREE DIMENSIONSGreen's First and Second Identities and the Reciprocal Relation Green's FunctionsIntegral Representation Integral EquationsAxisymmetric Fields in Axisymmetric Domains BOUNDARY-ELEMENT METHODS FOR LAPLACE'S EQUATION IN THREE DIMENSIONS Discretization Three-Node Flat Triangles Six-Node Curved TrianglesHigh-Order Expansions INHOMOGENEOUS, NONLINEAR, AND TIME-DEPENDENT PROBLEMSDistributed Source and Domain IntegralsParticular Solutions and Dual Reciprocity in One DimensionParticular Solutions and Dual Reciprocity in Two and Three Dimensions Convection - Diffusion Equation Time-Dependent Problems VISCOUS FLOWGoverning EquationsStokes Flow Boundary Integral Equations in Two DimensionsBoundary-Integral Equations in Three Dimensions Boundary-Element MethodsInterfacial Dynamics Unsteady, Navier-Stokes, and Non-Newtonian FlowBEMLIB USER GUIDEGeneral InformationTerms and Conditions Directory DIRECTORY: GRIDSgrid_2dtrgl DIRECTORY: LAPLACElgf_2dlgf_3dlgf_axflow_1d flow_1d 1pflow_2d body_2dbody_axtank_2dldr_ 3dlnm_3dDIRECTORY: HELMHOLTZflow_1d osc DIRECTORY: STOKESsgf_2dsgf_3dsgf_axflow_2dprtcl_sw prtcl_2d prtcl_ax prtcl_3d APPENDIX A: MATHEMATICAL SUPPLEMENTAPPENDIX B: GAUSS ELIMINATION AND LINEAR SOLVERSAPPENDIX C: ELASTOSTATICSREFERENCESINDEX
