From fee5898e4dd4ef64223c49a38734976379494ec2 Mon Sep 17 00:00:00 2001 From: mcbride Date: Fri, 24 Feb 2012 10:58:33 +0000 Subject: [PATCH] step:44 spelling correted within results.dox git-svn-id: https://svn.dealii.org/trunk@25162 0785d39b-7218-0410-832d-ea1e28bc413d --- deal.II/examples/step-44/doc/results.dox | 8 ++++---- 1 file changed, 4 insertions(+), 4 deletions(-) diff --git a/deal.II/examples/step-44/doc/results.dox b/deal.II/examples/step-44/doc/results.dox index f3f67c7f5b..4198d31950 100644 --- a/deal.II/examples/step-44/doc/results.dox +++ b/deal.II/examples/step-44/doc/results.dox @@ -10,7 +10,7 @@ Both schemes demonstrate good convergence properties for varying values of the l The results agree with those in the literature. The lower-order formulation typically overestimates the displacement for low levels of refinement, while the higher-order interpolation scheme underestimates it, but be a lesser degree. -This benchmark, and a series of others not shown here, give us conidence that the code is working +This benchmark, and a series of others not shown here, give us confidence that the code is working as it should @@ -34,7 +34,7 @@ as it should A typical screen output generated by running the problem is shown below. The particular case demonstrated is that of the $Q_2-DGPM_1-DGPM_1$ formulation. It is clear that, using the Newton-Raphson method, quadratic convergence of the solution is obtained. -Other than in the first timestep, solution convergence is achieved within 5 Newton increments. +Other than in the first time step, solution convergence is achieved within 5 Newton increments. The converged displacement's $L_2$-norm is several orders of magnitude less than the geometry scale. @code @@ -115,7 +115,7 @@ It may be beneficial to investigate the use of another solver such as those avai We then used ParaView to visualise the results for two cases. The first was for the coarsest grid and the lowest-order interpolation method: $Q_1-DGPM_0-DGPM_0$. -The seond was on a refined grid using a $Q_2-DGPM_1-DGPM_1$ formulation. +The second was on a refined grid using a $Q_2-DGPM_1-DGPM_1$ formulation. The vertical component of the displacement, the pressure $\widetilde{p}$ and the dilatation $\widetilde{J}$ fields are shown below. @@ -244,7 +244,7 @@ There are a number of obvious extensions for this work: function in order to enforce a high degree of incompressibility in materials. An additional Lagrange multiplier would be introduced, but this could most easily be dealt with using the principle of - augented Lagrange multipliers. This is demonstrated in Simo and + augmented Lagrange multipliers. This is demonstrated in Simo and Taylor (1991) . - The constitutive relationship used in this model is relatively basic. It may be beneficial to split the material -- 2.39.5