|
Showing 1 - 2 of
2 matches in All Departments
This book presents a comprehensive and self-contained treatment of
the authors' newly developed scalable algorithms for the solutions
of multibody contact problems of linear elasticity. The brand new
feature of these algorithms is theoretically supported numerical
scalability and parallel scalability demonstrated on problems
discretized by billions of degrees of freedom. The theory supports
solving multibody frictionless contact problems, contact problems
with possibly orthotropic Tresca's friction, and transient contact
problems. It covers BEM discretization, jumping coefficients,
floating bodies, mortar non-penetration conditions, etc. The
exposition is divided into four parts, the first of which reviews
appropriate facets of linear algebra, optimization, and analysis.
The most important algorithms and optimality results are presented
in the third part of the volume. The presentation is complete,
including continuous formulation, discretization, decomposition,
optimality results, and numerical experiments. The final part
includes extensions to contact shape optimization, plasticity, and
HPC implementation. Graduate students and researchers in mechanical
engineering, computational engineering, and applied mathematics,
will find this book of great value and interest.
This book presents a comprehensive treatment of recently developed
scalable algorithms for solving multibody contact problems of
linear elasticity. The brand-new feature of these algorithms is
their theoretically supported numerical scalability (i.e.,
asymptotically linear complexity) and parallel scalability
demonstrated in solving problems discretized by billions of degrees
of freedom. The theory covers solving multibody frictionless
contact problems, contact problems with possibly orthotropic
Tresca’s friction, and transient contact problems. In addition,
it also covers BEM discretization, treating jumping coefficients,
floating bodies, mortar non-penetration conditions, etc.Â
This second edition includes updated content, including a new
chapter on hybrid domain decomposition methods for huge contact
problems. Furthermore, new sections describe the latest algorithm
improvements, e.g., the fast reconstruction of displacements, the
adaptive reorthogonalization of dual constraints, and an updated
chapter on parallel implementation. Several chapters are extended
to give an independent exposition of classical bounds on the
spectrum of mass and dual stiffness matrices, a benchmark for
Coulomb orthotropic friction, details of discretization,
etc. The exposition is divided into four parts, the first of
which reviews auxiliary linear algebra, optimization, and analysis.
The most important algorithms and optimality results are presented
in the third chapter. The presentation includes continuous
formulation, discretization, domain decomposition, optimality
results, and numerical experiments. The final part contains
extensions to contact shape optimization, plasticity, and HPC
implementation. Graduate students and researchers in mechanical
engineering, computational engineering, and applied mathematics
will find this book of great value and interest.
|
You may like...
Brightside
The Lumineers
CD
R194
R92
Discovery Miles 920
|