Boundary element methods relate to a wide range of engineering
applications, including fluid flow, fracture analysis,
geomechanics, elasticity, and heat transfer. Thus, new results in
the field hold great importance not only to researchers in
mathematics, but to applied mathematicians, physicists, and
engineers.
A two-day minisymposium "Mathematical Aspects of Boundary
Element Methods" at the IABEM conference in May 1998 brought
together top rate researchers from around the world, including
Vladimir Maz'ya, to whom the conference was dedicated. Focusing on
the mathematical and numerical analysis of boundary integral
operators, this volume presents 25 papers contributed to the
symposium.
Mathematical Aspects of Boundary Element Methods provides
up-to-date research results from the point of view of both
mathematics and engineering. The authors detail new results, such
as on nonsmooth boundaries, and new methods, including domain
decomposition and parallelization, preconditioned iterative
techniques, multipole expansions, higher order boundary elements,
and approximate approximations. Together they illustrate the
connections between the modeling of applied problems, the
derivation and analysis of corresponding boundary integral
equations, and their efficient numerical solutions.
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