DOLFIN User Manual - FEniCS Project
DOLFIN User Manual - FEniCS Project
DOLFIN User Manual - FEniCS Project
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Chapter 3Linear algebra◮ Developer’s note: This chapter is currently being written. . .<strong>DOLFIN</strong> does not have its own linear algebra routines, but instead uses theexternal package PETSc [11] for linear algebra functionality.PETSc is a suite of data structures and routines for the scalable (parallel)solution of scientific applications modeled by partial differential equations.It employs the MPI standard for all message-passing communication.For convenience <strong>DOLFIN</strong> provides wrappers for some of the most commonlinear algebra functionality. For more advanced usage, <strong>DOLFIN</strong> providesdirect access to the PETSc pointers to be used with the standard PETScinterface.3.1 Matrices and vectorsThe matrix class Matrix provides wrappers for initializing a sequential sparsematrix, or a sequential sparse matrix in block compressed row format. Forparallel matrices the PETSc interface has to be used directly.The code for initializing a sequential sparse M × N matrix takes the form:25
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