From: wolf Date: Sun, 12 Feb 2006 04:42:12 +0000 (+0000) Subject: . X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=2de10924d244ed190061446d4568df6fd3d1066e;p=dealii-svn.git . git-svn-id: https://svn.dealii.org/trunk@12328 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-20.data/intro.tex b/deal.II/doc/tutorial/chapter-2.step-by-step/step-20.data/intro.tex index f2bc2fc2a3..9b89343604 100644 --- a/deal.II/doc/tutorial/chapter-2.step-by-step/step-20.data/intro.tex +++ b/deal.II/doc/tutorial/chapter-2.step-by-step/step-20.data/intro.tex @@ -5,9 +5,9 @@ This program is devoted to two aspects: the use of mixed finite elements -- in particular Raviart-Thomas elements -- and using block matrices to define -solvers and preconditioners that use the substructure of the system -matrix. The equation we are going to solve is again the Laplace equation, -though with a matrix-valued coefficient: +solvers, preconditioners, and nested versions of those that use the +substructure of the system matrix. The equation we are going to solve is again +the Laplace equation, though with a matrix-valued coefficient: \begin{align*} -\nabla \cdot K(\vec x) \nabla p &= f \qquad && \text{in $\Omega$}, \\ p &= g && \text{on $\partial\Omega$}. @@ -640,13 +640,13 @@ look like this: schur_rhs -= system_rhs.block(1); SchurComplement - schur_complement (system_matrix, m_inverse) + schur_complement (system_matrix, m_inverse); ApproximateSchurComplement approximate_schur_complement (system_matrix); InverseMatrix - preconditioner (approximate_schur_complement) + preconditioner (approximate_schur_complement); SolverControl solver_control (system_matrix.block(0,0).m(), 1e-6*schur_rhs.l2_norm());