DOLFIN User Manual - FEniCS Project

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DOLFIN User ManualHoffman, Jansson, Logg, WellsEnumeration and list indicesThroughout this manual, elements x i of sets {x i } of size n are enumeratedfrom i = 0 to i = n − 1. Derivatives in R n are enumerated similarly:∂ ∂∂∂x 0,∂x 1, . . . ,∂x n−1.ContactComments, corrections and contributions to this manual are most welcomeand should be sent todolfin-dev@fenics.org12
Chapter 1Introduction◮ Developer’s note: This chapter is currently being written. . .1.1 The FEniCS project1.2 The finite element method1.3 OverviewDOLFIN is implemented as a C++ library and can be used either as a standalonesolver, or as a tool for the development and implementation of newmethods. To simplify usage and emphasize structure, DOLFIN is organizedinto three levels of abstraction, referred to as kernel level, module level, anduser level, as shown in Figure 1.1. Core features, such as the automatic evaluationof variational forms and adaptive mesh refinement, are implementedas basic tools at kernel level. At module level, new solvers/modules can beassembled from these basic tools and integrated into the system. At userlevel, a model of the form is specified and solved, either using one of thebuilt-in solvers/modules or by direct usage of the basic tools.13
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Page 3 and 4: ContentsAbout this manual 91 Introd
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Page 25 and 26: Chapter 3Linear algebra◮ Develope
Page 29 and 30: Chapter 4The mesh◮ Developer’s
Page 33 and 34: Chapter 5Functions◮ Developer’s
Page 43: Chapter 6Ordinary differential equa
Page 53 and 54: Chapter 8Nonlinear solver◮ Develo
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DOLFIN User ManualHoffman, Jansson,
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Chapter 10The log systemDOLFIN prov
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Bibliography[1] Cygwin, 2005. http:
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v 2 v 0 = (0, 0)DOLFIN User ManualH
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Appendix CContributing codeIf you h
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Appendix DLicenseDOLFIN is licensed
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DOLFIN User Manual - FEniCS Project

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