Main Title |
Automated Solution of Differential Equations by the Finite Element Method : the FEniCS Book / |
Other Authors |
|
Publisher |
Springer, |
Year Published |
2012 |
OCLC Number |
793344871 |
ISBN |
9783642230981; 3642230989 |
Subjects |
Finite element method ;
Differential equations--Data processing
|
Holdings |
Library |
Call Number |
Additional Info |
Location |
Last Modified |
Checkout Status |
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. |