DOLFIN User Manual - FEniCS Project

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DOLFIN User ManualHoffman, Jansson, Logg, WellsTo change the default preconditioner in the DOLFIN GMRES solver, edit theconstructor of the GMRES class. For example, to choose the ILU preconditionerfor GMRES we writePC pc;KSPGetPC(ksp, &pc);PCSetType(pc, PCILU);As a complement to the preconditioners available in PETSc, DOLFIN alsouses Hypre [3], which is a library for solving large, sparse linear systems ofequations on massively parallel computers.To use a preconditioner from Hypre together with a PETSc solver in DOLFIN,we write:PCSetType(pc, PCHYPRE );PCHYPRESetType(pc,"boomeramg");In particular, the above preconditioner boomeramg is an algebraic multigridpreconditioner, which is very useful.28
Chapter 4The mesh◮ Developer’s note: This chapter is currently being written. . .The concept of a mesh is central in the implementation of adaptive Galerkinfinite element methods for partial differential equations. Related importantconcepts include vertices, cells, edges, faces, boundaries, and mesh hierarchies.These concepts are all implemented as C++ classes in DOLFIN, asshown in Figure 4.1.4.1 Mesh iteratorsAlgorithms operating on a mesh, including adaptive mesh refinement, canoften be expressed in terms of iterators, i.e., objects used for the traversal ofaggregate structures, such as the list of vertices contained in a mesh. Iteratorsimplemented in DOLFIN include a VertexIterator, CellIterator,EdgeIterator, FaceIterator, and a MeshIterator. The following code illustrateshow to iterate over all vertex neighbors of all vertices of all cellswithin a given mesh:29
Page 1 and 2: DOLFIN User ManualFebruary 24, 2006
Page 3 and 4: ContentsAbout this manual 91 Introd
Page 5 and 6: DOLFIN User ManualHoffman, Jansson,
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Page 25 and 26: Chapter 3Linear algebra◮ Develope
Page 33 and 34: Chapter 5Functions◮ Developer’s
Page 43: Chapter 6Ordinary differential equa
Page 53 and 54: Chapter 8Nonlinear solver◮ Develo
Page 65 and 66: Chapter 10The log systemDOLFIN prov
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DOLFIN User ManualHoffman, Jansson,
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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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