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Automated Solution of Differential Equations by the Finite Element Method

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Cover of 'Automated Solution of Differential Equations by the Finite Element Method'

Table of Contents

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    Book Overview
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    Chapter 1 Automated Solution of Differential Equations by the Finite Element Method
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    Chapter 2 The finite element method
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    Chapter 3 Common and unusual finite elements
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    Chapter 4 Constructing general reference finite elements
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    Chapter 5 Finite element variational forms
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    Chapter 6 Finite element assembly
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    Chapter 7 Quadrature representation of finite element variational forms
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    Chapter 8 Tensor representation of finite element variational forms
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    Chapter 9 Discrete optimization of finite element matrix evaluation
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    Chapter 10 DOLFIN: a C++/Python finite element library
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    Chapter 11 FFC: the FEniCS form compiler
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    Chapter 12 FErari: an optimizing compiler for variational forms
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    Chapter 13 FIAT: numerical construction of finite element basis functions
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    Chapter 14 Instant: just-in-time compilation of C/C++ in Python
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    Chapter 15 SyFi and SFC: symbolic finite elements and form compilation
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    Chapter 16 UFC: a finite element code generation interface
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    Chapter 17 UFL: a finite element form language
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    Chapter 18 Unicorn: a unified continuum mechanics solver
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    Chapter 19 Lessons learned in mixed language programming
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    Chapter 20 Finite elements for incompressible fluids
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    Chapter 21 A comparison of finite element schemes for the incompressible Navier–Stokes equations
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    Chapter 22 Simulation of transitional flows
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    Chapter 23 Computational hemodynamics
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    Chapter 24 Cerebrospinal fluid flow
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    Chapter 25 Improved Boussinesq equations for surface water waves
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    Chapter 26 Applications in solid mechanics
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    Chapter 27 A computational framework for nonlinear elasticity
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    Chapter 28 Turbulent flow and fluid–structure interaction
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    Chapter 29 An adaptive finite element solver for fluid–structure interaction problems
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    Chapter 30 Modeling evolving discontinuities
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    Chapter 31 Dynamic simulations of convection in the Earth’s mantle
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    Chapter 32 Automatic calibration of depositional models
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    Chapter 33 A coupled stochastic and deterministic model of Ca2+ dynamics in the dyadic cleft
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    Chapter 34 Electromagnetic waveguide analysis
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    Chapter 35 Block preconditioning of systems of PDEs
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    Chapter 36 Automated testing of saddle point stability conditions
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Citations

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Readers on

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152 Mendeley
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Title
Automated Solution of Differential Equations by the Finite Element Method
Published by
Springer Berlin Heidelberg, January 2012
DOI 10.1007/978-3-642-23099-8
ISBNs
978-3-64-223098-1, 978-3-64-223099-8, 978-3-66-250833-6
Authors

Logg, Anders, Mardal, Kent-Andre, Wells, Garth

Editors

Anders Logg, Kent-Andre Mardal, Garth Wells

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 152 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 152 100%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 36 24%
Researcher 30 20%
Student > Master 15 10%
Student > Bachelor 10 7%
Unspecified 9 6%
Other 18 12%
Unknown 34 22%
Readers by discipline Count As %
Engineering 43 28%
Physics and Astronomy 20 13%
Unspecified 9 6%
Mathematics 8 5%
Earth and Planetary Sciences 6 4%
Other 20 13%
Unknown 46 30%