A Beginner S Course In Boundary Element Methods


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A Beginner's Course in Boundary Element Methods


A Beginner's Course in Boundary Element Methods

Author: Whye-Teong Ang

language: en

Publisher: Universal-Publishers

Release Date: 2007


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This is a course in boundary element methods for the absolute beginners. Basic concepts are carefully explained through the use of progressively more complicated boundary value problems in engineering and physical sciences. The readers are assumed to have prior basic knowledge of vector calculus (covering topics such as line, surface and volume integrals and the various integral theorems), ordinary and partial differential equations, complex variables, and computer programming. Electronic ebook edition available at Powells.com. Click on Powells logo to the left.

A First Course in Boundary Element Methods


A First Course in Boundary Element Methods

Author: Steven L. Crouch

language: en

Publisher: Springer Nature

Release Date: 2024-07-22


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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. Indirect methods involve single or double layer potentials separately while direct methods combine these potentials using Green's or Somigliana's formulas. The two approaches give comparable results for general boundary value problems. 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.

Advanced Computational Fluid and Aerodynamics


Advanced Computational Fluid and Aerodynamics

Author: Paul G. Tucker

language: en

Publisher: Cambridge University Press

Release Date: 2016-03-15


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This book outlines the computational fluid dynamics evolution and gives an overview of the methods available to the engineer.