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Main Title Automated Solution of Differential Equations by the Finite Element Method : the FEniCS Book /
Other Authors
Author Title of a Work
Logg, Anders.
Mardal, Kent-Andre.
Wells, Garth,
Publisher Springer,
Year Published 2012
OCLC Number 793344871
ISBN 9783642230981; 3642230989
Subjects Finite element method ; Differential equations--Data processing
Library Call Number Additional Info Location Last
ELBM  QA372.A98 2012 AWBERC Library/Cincinnati,OH 09/09/2013
Collation xiii, 723 p. : ill. (some col.) ; 26 cm.
Contents Notes
A FEniCS tutorial -- 1. Methodology. The finite element method -- Common and unusual finite elements -- Constructing general reference finite elements -- Finite element variational forms -- Finite element assembly -- Quadrature representation of finite element variational forms -- Tensor representation of finite element variational forms -- Discrete optimization of finite element matrix evaluation -- 2. Implementation. DOLFIN: a C++/Python finite element library -- FFC: the FEniCS form compiler -- FErari: an optimizing compiler for variational forms -- FIAT: numerical construction of finite element basis functions -- Instant: just-in-time compilation of C/C++ in Python -- SyFi and SFC: symbolic finite elements and form compilation -- UFC: a finite element code generation interface -- UFL: a finite element form language -- Unicorn: a unified continuum mechanics solver -- Lessons learned in mixed language programming -- 3. Applications. Finite elements for incompressible fluids -- A comparison of finite element schemes for the incompressible Navier-Stokes equations -- Simulation of transitional flows -- Computational hemodynamics -- Cerebrospinal fluid flow -- Improved Boussinesq equations for surface water waves -- Applications in solid mechanics -- A computational framework for nonlinear elasticity -- Turbulent flow and fluid-structure interaction -- An adaptive finite element solver for fluid-structure interaction problems -- Modeling evolving discontinuities -- Dynamic simulations of convection in the Earth's mantle -- Automatic calibration of depositional models -- A coupled stochastic and deterministic model of Ca2+ dynamics in the dyadic cleft -- Electromagnetic waveguide analysis -- Block preconditioning of systems of PDEs -- Automated testing of saddle point stability conditions.