DOLFIN User Manual - FEniCS Project

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DOLFIN User ManualHoffman, Jansson, Logg, Wellsv 3 e 0PSfrag replacements e 3 e 5e 4f 1f 0f 2 f 3ve 12v 0 v 1e 2Figure A.4: Ordering of mesh entities (vertices, edges, faces) for the referencetetrahedron.92
DOLFIN User ManualHoffman, Jansson, Logg, WellsA.3.2Ordering among mesh entitiesWith each mesh entity, there can be associated zero or more nodes and thenodes are ordered locally and globally based on the topological dimension ofthe mesh entity with which they are associated. Thus, any nodes associatedwith vertices are ordered first and nodes associated with cells last.If more than one node is associated with a single mesh entity, the internalordering of the nodes associated with the mesh entity becomes important, inparticular for edges and faces, where the nodes of two adjacent cells sharinga common edge or face must line up.A.3.3Internal ordering on edgesFor edges containing more than one node, the nodes are ordered in the directionfrom the first vertex (v 0 e) of the edge to the second vertex (v 1 e) of theedge as in Figure A.5.v 1 e21PSfrag replacements0v 0 eFigure A.5: Internal ordering of nodes on edges.93
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DOLFIN User ManualFebruary 24, 2006
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ContentsAbout this manual 91 Introd
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DOLFIN User ManualHoffman, Jansson,
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Chapter 3Linear algebra◮ Develope
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Chapter 4The mesh◮ Developer’s
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Chapter 5Functions◮ Developer’s
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Page 43: Chapter 6Ordinary differential equa
Page 53 and 54: Chapter 8Nonlinear solver◮ Develo
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Page 65 and 66: Chapter 10The log systemDOLFIN prov
Page 85: Bibliography[1] Cygwin, 2005. http:
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Page 105 and 106: Appendix CContributing codeIf you h
Page 109 and 110: Appendix DLicenseDOLFIN is licensed
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