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This volume contains eight state of the art contributions on
mathematical aspects and applications of fast boundary element
methods in engineering and industry. This covers the analysis and
numerics of boundary integral equations by using differential
forms, preconditioning of hp boundary element methods, the
application of fast boundary element methods for solving
challenging problems in magnetostatics, the simulation of micro
electro mechanical systems, and for contact problems in solid
mechanics. Other contributions are on recent results on boundary
element methods for the solution of transient problems. This book
is addressed to researchers, graduate students and practitioners
working on and using boundary element methods. All contributions
also show the great achievements of interdisciplinary research
between mathematicians and engineers, with direct applications in
engineering and industry.
This volume contains eleven contributions on boundary integral
equation and boundary element methods. Beside some historical and
more analytical aspects in the formulation and analysis of boundary
integral equations, modern fast boundary element methods are also
described and analyzed from a mathematical point of view. In
addition, the book presents engineering and industrial applications
that show the ability of boundary element methods to solve
challenging problems from different fields.
Wave propagation in poroelastic and viscoelastic solids treated by the Boundary Element method in time domain is the topic of this research book. A novel boundary element formulation has been presented based on the Convolution Quadrature Method. Because in this time-stepping formulation only Laplace domain fundamental solutions are needed this method can be effectively applied to a plenty of problems, e.g., anisotropic or transversely isotropic continua. So, this method combines the advantage of the Laplace domain with the advantage of a time domain calculation. Here, wave propagation phenomenon in viscoelastic as well as poroelastic half spaces are considered. The Rayleigh wave as well as the slow compressional wave in the poroelastic solid is discussed.
This volume contains eight state of the art contributions on
mathematical aspects and applications of fast boundary element
methods in engineering and industry. This covers the analysis and
numerics of boundary integral equations by using differential
forms, preconditioning of hp boundary element methods, the
application of fast boundary element methods for solving
challenging problems in magnetostatics, the simulation of micro
electro mechanical systems, and for contact problems in solid
mechanics. Other contributions are on recent results on boundary
element methods for the solution of transient problems. This book
is addressed to researchers, graduate students and practitioners
working on and using boundary element methods. All contributions
also show the great achievements of interdisciplinary research
between mathematicians and engineers, with direct applications in
engineering and industry.
Wave propagation is an important topic in engineering sciences,
especially, in the field of solid mechanics. A description of wave
propagation phenomena is given by Graff 98]: The effect of a
sharply applied, localized disturbance in a medium soon transmits
or 'spreads' to other parts of the medium. These effects are
familiar to everyone, e.g., transmission of sound in air, the
spreading of ripples on a pond of water, or the transmission of
radio waves. From all wave types in nature, here, attention is
focused only on waves in solids. Thus, solely mechanical
disturbances in contrast to electro-magnetic or acoustic
disturbances are considered. of waves - the compression wave
similar to the In solids, there are two types pressure wave in
fluids and, additionally, the shear wave. Due to continual reflec
tions at boundaries and propagation of waves in bounded solids
after some time a steady state is reached. Depending on the
influence of the inertia terms, this state is governed by a static
or dynamic equilibrium in frequency domain. However, if the rate of
onset of the load is high compared to the time needed to reach this
steady state, wave propagation phenomena have to be considered."
This is a reproduction of a book published before 1923. This book
may have occasional imperfections such as missing or blurred pages,
poor pictures, errant marks, etc. that were either part of the
original artifact, or were introduced by the scanning process. We
believe this work is culturally important, and despite the
imperfections, have elected to bring it back into print as part of
our continuing commitment to the preservation of printed works
worldwide. We appreciate your understanding of the imperfections in
the preservation process, and hope you enjoy this valuable book.
++++ The below data was compiled from various identification fields
in the bibliographic record of this title. This data is provided as
an additional tool in helping to ensure edition identification:
++++ Novae Commentationes Platonicae Martin Schanz typis et
sumptibus Stahelii, 1871
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