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A first course in boundary element m...

Crouch, Steven L.

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A first course in boundary element methods

Record Type:	Electronic resources : Monograph/item
Title/Author:	A first course in boundary element methods/ by Steven L. Crouch, Sofia G. Mogilevskaya.
Author:	Crouch, Steven L.
other author:	Mogilevskaya, Sofia G.
Published:	Cham :Springer Nature Switzerland : : 2024.,
Description:	xiv, 477 p. :ill., digital ;24 cm.
[NT 15003449]:	1. An Illustration of the Boundary Element Approach -- 2. Potential Theory -- 3. The Direct Boundary Integral Method for Laplace's Equation -- 4. Elasticity -- 5. The Stress Discontinuity Method.
Contained By:	Springer Nature eBook
Subject:	Boundary element methods. -
Online resource:	https://doi.org/10.1007/978-3-031-63341-6
ISBN:	9783031633416

A first course in boundary element methods
Crouch, Steven L.

A first course in boundary element methods[electronic resource] /by Steven L. Crouch, Sofia G. Mogilevskaya. - Cham :Springer Nature Switzerland :2024. - xiv, 477 p. :ill., digital ;24 cm. - Mathematical engineering,2192-4740. - Mathematical engineering..

1. An Illustration of the Boundary Element Approach -- 2. Potential Theory -- 3. The Direct Boundary Integral Method for Laplace's Equation -- 4. Elasticity -- 5. The Stress Discontinuity Method.

This textbook delves into the theory and practical application of boundary integral equation techniques, focusing on their numerical solution for boundary value problems within potential theory and linear elasticity. Drawing parallels between single and double layer potentials in potential theory and their counterparts in elasticity, the book introduces various numerical procedures, namely boundary element methods, where unknown quantities reside on the boundaries of the region of interest. Through the approximation of boundary value problems into systems of algebraic equations, solvable by standard numerical methods, the text elucidates both indirect and direct approaches. While indirect methods involve single or double layer potentials separately, yielding physically ambiguous results, direct methods combine potentials using Green's or Somigliana's formulas, providing physically meaningful solutions. Tailored for beginning graduate students, this self-contained textbook offers detailed analytical and numerical derivations for isotropic and anisotropic materials, prioritizing simplicity in presentation while progressively advancing towards more intricate mathematical concepts, particularly focusing on two-dimensional problems within potential theory and linear elasticity.

ISBN: 9783031633416

Standard No.: 10.1007/978-3-031-63341-6doiSubjects--Topical Terms:

566490
Boundary element methods.

LC Class. No.: TA347.B69

Dewey Class. No.: 620.00151535

A first course in boundary element methods
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100 1 $a Crouch, Steven L. $3 3722867
245 1 2 $a A first course in boundary element methods $h [electronic resource] / $c by Steven L. Crouch, Sofia G. Mogilevskaya.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2024.
300 $a xiv, 477 p. : $b ill., digital ; $c 24 cm.
490 1 $a Mathematical engineering, $x 2192-4740
505 0 $a 1. An Illustration of the Boundary Element Approach -- 2. Potential Theory -- 3. The Direct Boundary Integral Method for Laplace's Equation -- 4. Elasticity -- 5. The Stress Discontinuity Method.
520 $a This textbook delves into the theory and practical application of boundary integral equation techniques, focusing on their numerical solution for boundary value problems within potential theory and linear elasticity. Drawing parallels between single and double layer potentials in potential theory and their counterparts in elasticity, the book introduces various numerical procedures, namely boundary element methods, where unknown quantities reside on the boundaries of the region of interest. Through the approximation of boundary value problems into systems of algebraic equations, solvable by standard numerical methods, the text elucidates both indirect and direct approaches. While indirect methods involve single or double layer potentials separately, yielding physically ambiguous results, direct methods combine potentials using Green's or Somigliana's formulas, providing physically meaningful solutions. Tailored for beginning graduate students, this self-contained textbook offers detailed analytical and numerical derivations for isotropic and anisotropic materials, prioritizing simplicity in presentation while progressively advancing towards more intricate mathematical concepts, particularly focusing on two-dimensional problems within potential theory and linear elasticity.
650 0 $a Boundary element methods. $3 566490
650 1 4 $a Engineering Mechanics. $3 3538834
650 2 4 $a Mechanical Engineering. $3 891038
650 2 4 $a Mathematical and Computational Engineering Applications. $3 3592737
700 1 $a Mogilevskaya, Sofia G. $3 3722868
710 2 $a SpringerLink (Online service) $3 836513
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830 0 $a Mathematical engineering. $3 2055144
856 4 0 $u https://doi.org/10.1007/978-3-031-63341-6
950 $a Engineering (SpringerNature-11647)