From: Wolfgang Bangerth Date: Tue, 28 Mar 2006 23:44:24 +0000 (+0000) Subject: Remove backup files X-Git-Tag: v8.0.0~11973 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=f81890ce168f7cf1234e6a8af280b22d67a91b0a;p=dealii.git Remove backup files git-svn-id: https://svn.dealii.org/trunk@12742 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-6/doc/intro.dox~ b/deal.II/examples/step-6/doc/intro.dox~ deleted file mode 100644 index d7adb8dca4..0000000000 --- a/deal.II/examples/step-6/doc/intro.dox~ +++ /dev/null @@ -1,57 +0,0 @@ - -

Introduction

- - -The main emphasis in this example is the handling of locally refined -grids. The approach to adaptivity chosen in deal.II us to use grids in which -neighboring cells may be refined a different number of times. This then -results in nodes on the interfaces of cells which belong to one -side, but are unbalanced on the other. The common term for these is -“hanging nodes”. - - - -To guarantee that the global solution is continuous at these nodes as -well, we have to state some additional constraints on the values of -the solution at these nodes. In the program below, we will show how we -can get these constraints from the library, and how to use them in the -solution of the linear system of equations. - - - -The locally refined grids are produced using an error estimator class -which estimates the energy error with respect to the Laplace -operator. This error estimator, although developed for Laplace's -equation has proven to be a suitable tool to generate locally refined -meshes for a wide range of equations, not restricted to elliptic -problems. Although it will create non-optimal meshes for other -equations, it is often a good way to quickly produce meshes that are -well adapted to the features of solutions, such as regions of great -variation or discontinuities. Since it was developed by Kelly and -co-workers, we often refer to it as the “Kelly refinement -indicator” in the library, documentation, and mailing list. The -class that implements it is called -KellyErrorEstimator. Although the error estimator (and -its -implementation in the deal.II library) is capable of handling variable -coefficients in the equation, we will not use this feature since we -are only interested in a quick and simple way to generate locally -refined grids. - - - -Since the concepts used for locally refined grids are so important, -we do not show much additional new stuff in this example. The most -important exception is that we show how to use biquadratic elements -instead of the bilinear ones which we have used in all previous -examples. In fact, The use of higher order elements is accomplished by -only replacing three lines of the program, namely the declaration of -the fe variable, and the use of an appropriate quadrature formula -in two places. The rest of the program is unchanged. - - - -The only other new thing is a method to catch exceptions in the -main function in order to output some information in case the -program crashes for some reason. - diff --git a/deal.II/examples/step-8/doc/results.dox~ b/deal.II/examples/step-8/doc/results.dox~ deleted file mode 100644 index 9f7c98cdf3..0000000000 --- a/deal.II/examples/step-8/doc/results.dox~ +++ /dev/null @@ -1,50 +0,0 @@ - -

Results

- -

-There is not much to be said about the results of this program, apart -from that they look nice. All images were made using GMV from the -output files that the program wrote to disk. The first picture shows -the displacement as a vector field, where one vector is shown at each -vertex of the grid: -

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-displacement-vectors -

- -

-You can clearly see the sources of x-displacement around x=0.5 and -x=-0.5, and of y-displacement at the origin. The next image shows the -final grid after eight steps of refinement: -

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-final-grid -

- -

-Finally, the x-displacement and y-displacement are displayed separately: -

- -

- - - - - -
-displacement-x - -displacement-y -
-

- -

-It should be noted that intuitively one would have expected the -solution to be symmetric about the x- and y-axes since the x- and -y-forces are symmetric with respect to these axes. However, the force -considered as a vector is not symmetric and consequently neither is -the solution. -

-