Screen LibraryThe boundary element method for engineers and scientists : theory and applications /
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Academic Press is an imprint of Elsevier,
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| Publisher Address: | London, United Kingdom : |
| Publication Dates: | 2016. |
| Literature type: | eBook |
| Language: | English |
| Edition: | Second edition. |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/book/9780128044933 |
| Item Description: | Includes index. |
| Carrier Form: | 1 online resource |
| ISBN: |
9780128020104 0128020105 |
| Index Number: | TA347 |
| CLC: | O175.8 |
| Contents: |
Front Cover; The Boundary Element Method for Engineers and Scientists; Copyright Page; Dedication; Contents; Preface to the Second Edition; Preface to the First Edition; 1 Introduction; 1.1 Scope of the Book; 1.2 Boundary Elements and Finite Elements; 1.3 Historical Development of the BEM; 1.4 Structure of the Book; 1.5 The Companion Website; 1.6 References; 2 Preliminary Mathematical Knowledge; 2.1 Introduction; 2.2 The Gauss-Green Theorem; 2.3 The Divergence Theorem of Gauss; 2.4 Green's Second Identity; 2.5 The Adjoint Operator; 2.6 The Dirac Delta Function 2.7 Calculus of Variations. Euler-Lagrange Equation2.7.1 The Euler-Lagrange equation; 2.7.2 Natural boundary conditions; 2.7.3 Functional depending on a function of two variables; 2.7.4 Examples; Example 2.1; Example 2.2; 2.8 References; Problems; 3 The BEM for Potential Problems in Two Dimensions; 3.1 Introduction; 3.2 Fundamental Solution; 3.3 The Direct BEM for the Laplace Equation; 3.4 The Direct BEM for the Poisson Equation; 3.4.1 Application of Green's identity; 3.4.2 Transformation of the Poisson equation to the Laplace equation; Example 3.1 3.5 Transformation of the Domain Integrals to Boundary Integrals3.6 The BEM for Potential Problems in Anisotropic Bodies; 3.6.1 Integral representation of the solution; 3.6.2 Fundamental solution; 3.6.3 Boundary integral equation; 3.7 References; Problems; 4 Numerical Implementation of the BEM; 4.1 Introduction; 4.2 The BEM With Constant Boundary Elements; 4.3 Evaluation of Line Integrals; 4.4 Evaluation of Domain Integrals; 4.5 Program LABECON for Solving the Laplace Equation With Constant Boundary Elements; 4.5.1 Main program; 4.5.2 INPUT subroutine; 4.5.3 GMATR subroutine 4.5.4 RLINTC subroutine4.5.5 SLINTC subroutine; 4.5.6 HMATR subroutine; 4.5.7 DALPHA subroutine; 4.5.8 ABMATR subroutine; 4.5.9 SOLVEQ subroutine; 4.5.10 LEQS subroutine; 4.5.11 REORDER subroutine; 4.5.12 UINTER subroutine; 4.5.13 OUTPUT subroutine; Example 4.1; EXAMPLE 4.1 (DATA); EXAMPLE 4.1 (RESULTS); Example 4.2; EXAMPLE 4.2 (DATA); 4.6 Domains With Multiple Boundaries; 4.7 Program LABECONMU for Domains With Multiple Boundaries; 4.8 The Method of Subdomains; 4.9 References; Problems; 5 Boundary Element Technology; 5.1 Introduction; 5.2 Linear Elements 5.3 The BEM With Linear Boundary Elements5.3.1 Corner points and points of change of boundary conditions; 5.4 Evaluation of Line Integrals on Linear Elements; 5.4.1 Outside integration; 5.4.2 Inside integration; Integrals With Logarithmic Singularity; Analytical integration; Numerical integration; Integration by extracting the singularity; Integrals with Cauchy type singularity; 5.4.3 Indirect evaluation of the diagonal influence coefficients; 5.5 Higher Order Elements; 5.6 Near-Singular Integrals; 5.6.1 The method of element subdivision; 5.7 References; Problems; 6 Applications |