Name: A First Course in Boundary Element Methods
Price: 451.56 PEN
Availability: InStock
Author: Sofia G. Mogilevskaya;Steven L. Crouch
ISBN: 9783031633430

portada A First Course in Boundary Element Methods

A First Course in Boundary Element Methods

Formato

Libro Físico

Editorial

Springer International Publishing AG

Autor

Sofia G. Mogilevskaya;Steven L. Crouch

Colección

Mathematical Engineering

Año

2025

N° páginas

477

Encuadernación

Tapa Blanda

Dimensiones

23.50 x 15.50 cm

ISBN13

9783031633430

A First Course in Boundary Element Methods

Sofia G. Mogilevskaya;Steven L. Crouch (Autor) · Springer International Publishing AG · Tapa Blanda

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Reseña del libro "A First Course in Boundary Element Methods"

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.