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Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects - FVCA 8, Lille, France, June 2017 (Hardcover, 1st ed. 2017)
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Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects - FVCA 8, Lille, France, June 2017 (Hardcover, 1st ed. 2017)
Series: Springer Proceedings in Mathematics & Statistics, 199
Expected to ship within 12 - 17 working days
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This first volume of the proceedings of the 8th conference on
"Finite Volumes for Complex Applications" (Lille, June 2017) covers
various topics including convergence and stability analysis, as
well as investigations of these methods from the point of view of
compatibility with physical principles. It collects together the
focused invited papers comparing advanced numerical methods for
Stokes and Navier-Stokes equations on a benchmark, as well as
reviewed contributions from internationally leading researchers in
the field of analysis of finite volume and related methods,
offering a comprehensive overview of the state of the art in the
field. The finite volume method in its various forms is a space
discretization technique for partial differential equations based
on the fundamental physical principle of conservation, and recent
decades have brought significant advances in the theoretical
understanding of the method. Many finite volume methods preserve
further qualitative or asy mptotic properties, including maximum
principles, dissipativity, monotone decay of free energy, and
asymptotic stability. Due to these properties, finite volume
methods belong to the wider class of compatible discretization
methods, which preserve qualitative properties of continuous
problems at the discrete level. This structural approach to the
discretization of partial differential equations becomes
particularly important for multiphysics and multiscale
applications. The book is a valuable resource for researchers, PhD
and master's level students in numerical analysis, scientific
computing and related fields such as partial differential
equations, as well as engineers working in numerical modeling and
simulations.
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