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The boundary element method (BEM) has established itself as a powerful numerical analysis tool. The distinct feature of BEM is that it reduces the problem dimensionality by one. This implies that two- and three-dimensional problems can be solved in one and two dimensions, respectively. For this reason, BEM offers particular advantages in comparison with domain methods, such as the finite element method. BEM is a global technique, which is based on the superposition of the free-field Green's functions and as such, does not easily lend itself to the development of algebraic eigenvalue formulation. In the past two decades, research activities in this area have increased rapidly, which has resulted in a wealth of literature on BE eigenanalysis. In The Boundary Element Method, a chronological review of all BE eigenvalue methods that have been proposed to date is provided. Subjects treated range from an outline of the non-algebraic BE eigenvalue analysis technique, such as the Determinant Search Method, to in-depth consideration of more elegant BE algebraic eigenvalue formulations, such as the Dual and Multiple Reciprocity, Particular Integral, Fictitious Function and Series Expansion Methods. The fundamentals of BEM are also provided in the book. In order to illustrate application of the methods presented, numerous examples are included. In addition, advantages and disadvantages of each eigenformulation are discussed and recommendations are given to increase the robustness and reliability of BE eigenvalue analyses through future research in this evolving area. This book is intended for researchers and professionals in the field of engineering and BE code development. It provides comprehensive information on BEM and numerous ideas for future research. Moreover it would serve as a valuable textbook for the education of graduate engineering students.

Boundary element methods. --- Acoustical engineering --- Mathematical models.

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The first question any lover of classical music usually asks an acoustician is, "Which are the best halls in the world?" The response -the three halls rated highest by world-praised conductors and music critics of the largest newspapers were built in 1870, 1888, and 1900- always prompts the next query: "Why are those so good while many halls built after 1950 seem to be mediocre or failures?" You will find answers to these questions in this book, the result of a half-century's research into the very complex field of acoustics of halls for music. Following the first chapters, which establish a base for understanding the effects of acoustics on composers, performers, and listeners, and guiding the reader to a common vocabulary, the bullz of this book, Chapter 3, contains the write-ups, photographs, drawings, and architectural details on 100 existing halls in 31 countries. Thirty of the halls are completely new. Although the remainder appeared in earlier books by the author, the materials have been updated wherever necessary. The later chapters present the relation of a hall's acoustics to its age, shape, type of seats, and the materials used for the walls and ceiling. The sequence of events that led to Boston Symphony Hall's excellent acoustics, which opened in 1900, is covered in detail-although it went through a troubled first few years because the leading local music critic considered the predecessor hall as better. Detailed discussions also appear for balcony, box, stage, and pit designs. All the known electroacoustical measurements on 100 existing halls are examined and compared with the rank orders of 58 concert halls and 21 opera houses that were obtained from interviews and questionnaires. Finally, the optimal electro-acoustical results are presented for concert halls and opera houses used for today's repertoires. Three appendices supplement the chapters: the first gives definitions of all of the major acoustical and architectural terms and symbols used in the book; the second provides the electro-acoustical data available on the 100 halls; and the third presents in tabular form much of the dimensional and electro-acoustical data for the 100 halls. .

Music --- opera houses --- concert halls --- Architecture --- sound [acoustics] --- acoustical properties --- Public buildings --- soundrecording --- Architectural acoustics. --- Music-halls. --- Theaters. --- akoestiek --- Protection of buildings against external influences --- Acoustics. --- Buildings—Design and construction. --- Building. --- Construction. --- Engineering, Architectural. --- Building Construction and Design. --- Architectural engineering --- Buildings --- Construction --- Construction science --- Engineering, Architectural --- Structural design --- Structural engineering --- Construction industry --- Design and construction