等几何分析matlab程序--GeoPDEs

CONTENTS: 1: INSTALLATION 1.1: OCTAVE 1.1.1 - Install 1.1.2 - Test 1.1.3 - Note for Windows users 1.2: MATLAB 2: GETTING STARTED 2.1: EXAMPLES 2.2: HELP 3: HOW TO CONTRIBUTE 3.1: CITING GeoPDEs 3.2: PROVIDING FEEDBACK 4: CHANGELOG ----------------------------------------------------- 1. INSTALLATION 1.1. OCTAVE 1.1.1 - Install * Install Octave version 3.2 or higher. Source code is available from http://www.octave.org, binary packages for Mac OSX and Windows are available from http://octave.sf.net, Linux binary packages are included with all major binary distributions. * Install the "nurbs" package available on http://octave.sf.net: - download the latest release of nurbs-<version>.tar.gz - type, at the octave prompt pkg install nurbs-<version>.tar.gz pkg load nurbs * Download the geopdes_base-<version>.tar.gz package from http://geopdes.sf.net/functions/geopdes_base * Install geopdes_base package by typing at the octave prompt pkg install geopdes_base-<version>.tar.gz * Load the package: pkg load geopdes_base * After installing the geopdes_base package, the other packages can be installed in an analogous way. 1.1.3 - Note for Windows users * The mingw-based binary version of Octave distributed on http://octave.sf.net by default installs dynamically loaded binary functions in a different location as that of script functions. This can create problems when installing geopdes_base, it is therefore recomended that you change the package installation prefix prior to installing geopdes_base, e.g.: mkdir c:\octave-packages pkg prefix c:\octave-packages c:\octave-packages system ("tar xzf geopdes_base-<version>.tar.gz") pkg install geopdes_base-<version> If this procedure fails for you please let us know. See the section "HOW TO CONTRIBUTE" below for the preferred procedure for giving feedback. 1.2. MATLAB * Install the "nurbs" package available on http://octave.sf.net: - download the latest release of nurbs.tar.gz available on http://octave.sf.net - uncompress and untar the file. We recommend you to do this in the toolbox folder of Matlab. - download the C functions for matlab "nurbs_mex_files.tar.gz" from http://sourceforge.net/projects/geopdes/files - uncompress and untar the file in the folder "nurbs/inst" - in Matlab, go to the folder "nurbs/inst" and run the script file 'compile'. This will compile the files and save the nurbs package to your Matlab path * Install the geopdes_base package: - download the latest release of geopdes_base.tar.gz from http://geopdes.sf.net/functions/geopdes_base - uncompress and untar the file - add the directory "geopdes_base/inst" and its subfolders to Matlab's default path (see below) * The other packages are installed analogously, but the geopdes_base package must be also installed in order to make them work. * For convenience, you can set the path using the script "geopdes_setpath.m". - download the function from http://sourceforge.net/projects/geopdes/files - replace "my_path" by the path of the folder where you saved the packages - run the script, typing "geopdes_setpath" in Matlab command window 2. GETTING STARTED 2.1. EXAMPLES * Each package contains a set of simple examples, that can be run with the command <geopdes_package>_examples. For instance, typing at the Octave prompt geopdes_base_examples will guide you through a set of menus to choose some simple yet useful examples for solving the Poisson problem. * The source code and the data files for these examples can be found in the directory <geopdes_package>/inst/examples * A collection of simple geometries constructed with NURBS can be found in the following directories geopdes_base/inst/examples/geometry_files geopdes_multipatch/inst/examples/geometry_files 2.2. HELP * A detailed documentation for the software is not likely to be published. We suggest you to read the paper C. de Falco, A. Reali, R. Vazquez. GeoPDES: a research tool for Isogeometric Analysis of PDEs, Advances in Engineering Software, 42(12), 2011 doi:10.1016/j.advengsoft.2011.06.10 also available in preprint form as Tech. Report, IMATI-CNR, (2010), In the paper we give an explanation of the architecture, the design and the main features of the code. This paper can be seen as brief user's guide. * The format for the geometry files is explained in the files geopdes_base/doc/geo_specs_v07.txt geopdes_multipatch/doc/geo_specs_mp_v07.txt Notice that multipatch geometries will not run correctly outside the geopdes_multipatch package. At the time of this release, multipatch problems have been also implemented in geopdes_maxwell, geopdes_elasticity, and geopdes_fluid for Taylor-Hood elements. 3. HOW TO CONTRIBUTE 3.1 CITING GeoPDEs * GeoPDEs has been developed as a part of our research, and is funded by our respective institutions. The best way to support us is by citing C. de Falco, A. Reali, R. Vazquez. GeoPDES: a research tool for Isogeometric Analysis of PDEs, Advances in Engineering Software, 42(12), 2011 doi:10.1016/j.advengsoft.2011.06.010 in any paper where GeoPDEs is used to obtain numerical results. 3.2 GIVING FEEDBACK * To give us feedback, report bugs, suggest new features or to ask to be directly involved in the further development of GeoPDEs, please subscribe to the mailing list following the instructions at https://lists.sourceforge.net/lists/listinfo/geopdes-users * Before posting a question to the mailing list, please browse the mailing list archives at https://sourceforge.net/mailarchive/forum.php?forum_name=geopdes-users to see whether it has already been answered before. 4: CHANGELOG Below is a list of the main changes introduced with each new release Version geopdes_***-2.0.1 * Modified the oct-operators to be compatible with Octave 3.2 * Fixed bug in the function names sp_vector_#d_curl_transform Version geopdes_***-2.0.0 * Added the classes msh_2d and msh_3d, with their methods. * Added the classes sp_bspline_2d, sp_bspline_3d, sp_nurbs_2d, sp_nurbs_3d, sp_vector_2d, sp_vector_3d, sp_vector_2d_piola_transform, sp_vector_2d_curl_transform, sp_vector_3d_curl_transform, sp_bspline_2d_3forms, with their methods. * Removed many functions that became unnecessary with the classes. * Functions sp_eval and sp_to_vtk work now for 2D and 3D geometries. * Added the functions sp_eval_msh, sp_eval_div_msh. * Added the tensor product version of the operators (like op_u_v_tp.m). They only work for classes. * Modified the m-version of the operators, to make them even faster. Version geopdes_***-1.1.0 * Added the function grule to the "utils" folder. * Changed the way the examples are called. * Make use of tensor product in msh_push_forward_2d(3d) and geo_2d(3d)_nurbs. This requires version 1.3.4 of the nurbs toolbox. * New file format for multipatch geometries (v.0.7). * Changed the way the multipatch numbering (and orientation) is set. * Added a new function to compute the deformed geometry in geopdes_elasticity. * Added multipatch examples in geopdes_elasticity. * Added Subgrid method in geopdes_fluid. * Added multipatch examples for TH and SG elements in geopdes_fluid. * Modified the C version of the operators to be compatible with Octave 3.4. * Modified the operators to return the vectors that build the sparse matrix. * Modified the m-version of the operators to make them faster. * Modified matrix assembly in multipatch examples, to make it faster. * Modified matrix assembly in sp_drchlt_* files. * sp_nurbs_*_param. Fixed a bug for the functions on the boundary. * sp_scalar_to_vector_2d. Fixed a bug where the field ndof_dir was missi