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The boundary element method for engi...

Katsikadelis, John T.

The boundary element method for engineers and scientiststheory and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The boundary element method for engineers and scientistsJohn T. Katsikadelis.
Reminder of title:	theory and applications /
Author:	Katsikadelis, John T.
Published:	London, United Kingdom :Academic Press is an imprint of Elsevier,2016.
Description:	1 online resource
Notes:	Includes index.
Subject:	Boundary element methods.
Online resource:	https://www.sciencedirect.com/science/book/9780128044933
ISBN:	9780128020104

The boundary element method for engineers and scientiststheory and applications /
Katsikadelis, John T.

The boundary element method for engineers and scientiststheory and applications /[electronic resource] :John T. Katsikadelis. - 2nd ed. - London, United Kingdom :Academic Press is an imprint of Elsevier,2016. - 1 online resource

Includes index.

Includes bibliographical references at the end of each chapters and index.

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.

ISBN: 9780128020104Subjects--Topical Terms:

208685
Boundary element methods.
Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: TA347.B69

Dewey Class. No.: 515/.62

The boundary element method for engineers and scientiststheory and applications /
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245 1 4 $a The boundary element method for engineers and scientists $h [electronic resource] : $b theory and applications / $c John T. Katsikadelis.
250 $a 2nd ed.
260 $a London, United Kingdom : $b Academic Press is an imprint of Elsevier, $c 2016.
300 $a 1 online resource
500 $a Includes index.
504 $a Includes bibliographical references at the end of each chapters and index.
505 0 $a 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.
505 8 $a 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.
505 8 $a 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.
505 8 $a 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.
505 8 $a 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.
588 0 $a Online resource; title from PDF title page (ScienceDirect, viewed July 20, 2016).
650 0 $a Boundary element methods. $3 208685
650 7 $a MATHEMATICS $x Calculus. $2 bisacsh $3 883652
650 7 $a MATHEMATICS $x Mathematical Analysis. $2 bisacsh $3 883653
655 0 $a Electronic books. $2 local. $3 214472
856 4 0 $u https://www.sciencedirect.com/science/book/9780128044933