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This book gathers a selection of invited and contributed lectures
from the European Conference on Numerical Mathematics and Advanced
Applications (ENUMATH) held in Lausanne, Switzerland, August 26-30,
2013. It provides an overview of recent developments in numerical
analysis, computational mathematics and applications from leading
experts in the field. New results on finite element methods,
multiscale methods, numerical linear algebra and discretization
techniques for fluid mechanics and optics are presented. As such,
the book offers a valuable resource for a wide range of readers
looking for a state-of-the-art overview of advanced techniques,
algorithms and results in numerical mathematics and scientific
computing.
This book gathers a selection of invited and contributed lectures
from the European Conference on Numerical Mathematics and Advanced
Applications (ENUMATH) held in Lausanne, Switzerland, August 26-30,
2013. It provides an overview of recent developments in numerical
analysis, computational mathematics and applications from leading
experts in the field. New results on finite element methods,
multiscale methods, numerical linear algebra and discretization
techniques for fluid mechanics and optics are presented. As such,
the book offers a valuable resource for a wide range of readers
looking for a state-of-the-art overview of advanced techniques,
algorithms and results in numerical mathematics and scientific
computing.
This monograph discusses modeling, adaptive discretisation
techniques and the numerical solution of fluid structure
interaction. An emphasis in part I lies on innovative
discretisation and advanced interface resolution techniques. The
second part covers the efficient and robust numerical solution of
fluid-structure interaction. In part III, recent advances in the
application fields vascular flows, binary-fluid-solid interaction,
and coupling to fractures in the solid part are presented. Moreover
each chapter provides a comprehensive overview in the respective
topics including many references to concurring state-of-the art
work. Contents Part I: Modeling and discretization On the
implementation and benchmarking of an extended ALE method for FSI
problems The locally adapted parametric finite element method for
interface problems on triangular meshes An accurate Eulerian
approach for fluid-structure interactions Part II: Solvers
Numerical methods for unsteady thermal fluid structure interaction
Recent development of robust monolithic fluid-structure interaction
solvers A monolithic FSI solver applied to the FSI 1,2,3 benchmarks
Part III: Applications Fluid-structure interaction for vascular
flows: From supercomputers to laptops Binary-fluid-solid
interaction based on the Navier-Stokes-Cahn-Hilliard Equations
Coupling fluid-structure interaction with phase-field fracture:
Algorithmic details
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