Automated Solution of Differential Equations by the Finite Element Method

The FEniCS Book

Editors:

ISBN: 978-3-642-23098-1 (Print) 978-3-642-23099-8 (Online)

Table of contents (36 chapters)

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  1. Front Matter

    Pages I-XIII

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    Book Chapter

    Pages 1-73

    A FEniCS tutorial

  3. Methodology

    1. Front Matter

      Pages 75-75

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      Book Chapter

      Pages 77-94

      The finite element method

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      Book Chapter

      Pages 95-119

      Common and unusual finite elements

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      Book Chapter

      Pages 121-132

      Constructing general reference finite elements

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      Book Chapter

      Pages 133-140

      Finite element variational forms

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      Book Chapter

      Pages 141-146

      Finite element assembly

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      Book Chapter

      Pages 147-158

      Quadrature representation of finite element variational forms

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      Book Chapter

      Pages 159-162

      Tensor representation of finite element variational forms

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      Book Chapter

      Pages 163-169

      Discrete optimization of finite element matrix evaluation

  4. Implementation

    1. Front Matter

      Pages 171-171

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      Book Chapter

      Pages 173-225

      DOLFIN: a C++/Python finite element library

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      Book Chapter

      Pages 227-238

      FFC: the FEniCS form compiler

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      Book Chapter

      Pages 239-246

      FErari: an optimizing compiler for variational forms

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      Book Chapter

      Pages 247-255

      FIAT: numerical construction of finite element basis functions

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      Book Chapter

      Pages 257-272

      Instant: just-in-time compilation of C/C++ in Python

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      Book Chapter

      Pages 273-282

      SyFi and SFC: symbolic finite elements and form compilation

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      Book Chapter

      Pages 283-302

      UFC: a finite element code generation interface

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      Book Chapter

      Pages 303-338

      UFL: a finite element form language

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      Book Chapter

      Pages 339-361

      Unicorn: a unified continuum mechanics solver

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      Book Chapter

      Pages 363-381

      Lessons learned in mixed language programming

  5. Applications

    1. Front Matter

      Pages 383-383

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      Book Chapter

      Pages 385-397

      Finite elements for incompressible fluids

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