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This book is devoted to the mathematical analysis of the numerical
solution of boundary integral equations treating boundary value,
transmission and contact problems arising in elasticity, acoustic
and electromagnetic scattering. It serves as the mathematical
foundation of the boundary element methods (BEM) both for static
and dynamic problems. The book presents a systematic approach to
the variational methods for boundary integral equations including
the treatment with variational inequalities for contact problems.
It also features adaptive BEM, hp-version BEM, coupling of finite
and boundary element methods - efficient computational tools that
have become extremely popular in applications. Familiarizing
readers with tools like Mellin transformation and
pseudodifferential operators as well as convex and nonsmooth
analysis for variational inequalities, it concisely presents
efficient, state-of-the-art boundary element approximations and
points to up-to-date research. The authors are well known for their
fundamental work on boundary elements and related topics, and this
book is a major contribution to the modern theory of the BEM
(especially for error controlled adaptive methods and for
unilateral contact and dynamic problems) and is a valuable resource
for applied mathematicians, engineers, scientists and graduate
students.
This book is devoted to the mathematical analysis of the numerical
solution of boundary integral equations treating boundary value,
transmission and contact problems arising in elasticity, acoustic
and electromagnetic scattering. It serves as the mathematical
foundation of the boundary element methods (BEM) both for static
and dynamic problems. The book presents a systematic approach to
the variational methods for boundary integral equations including
the treatment with variational inequalities for contact problems.
It also features adaptive BEM, hp-version BEM, coupling of finite
and boundary element methods - efficient computational tools that
have become extremely popular in applications. Familiarizing
readers with tools like Mellin transformation and
pseudodifferential operators as well as convex and nonsmooth
analysis for variational inequalities, it concisely presents
efficient, state-of-the-art boundary element approximations and
points to up-to-date research. The authors are well known for their
fundamental work on boundary elements and related topics, and this
book is a major contribution to the modern theory of the BEM
(especially for error controlled adaptive methods and for
unilateral contact and dynamic problems) and is a valuable resource
for applied mathematicians, engineers, scientists and graduate
students.
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