Dear all I studied tutorial 38 that demonstrates the use of Laplace-Beltrami operator in deal.ii. In the "Possibilities for extension" section of the tutorial an example of a 3d surface obtained by transforming a half-sphere is given. It has also been mentioned that because of the transformation, the SphericalManifold is no longer attached to the triangulation. Therefore, irrespective of the degree of the MappingQ class we use, the mapping will remain bi-linear only.
1. So, is my understanding correct that in this case we are not calculating Laplace-Beltrami anymore but just a regular Laplacian? 2. I want to use the Laplace-Beltrami operator on surfaces that have equations like "Ax^2 + B*y^2 + C*z^2 = R^2". Can I simply import a CAD geometry and use OpenCascade::NormalToMeshProjectionManifold and achieve this effect? 3. The documentation of MappingManifold says that SphericalManifold cannot be used as for MappingManifold. So I am confused how exactly in Step-38 in the half-sphere example Laplace-Beltrami is being calculated. I can see that MappingQ2 is used to construct FEValues object. But MappingQ2 is not the same as a spherical surface. - Amit -- The information contained in this electronic communication is intended solely for the individual(s) or entity to which it is addressed. It may contain proprietary, confidential and/or legally privileged information. Any review, retransmission, dissemination, printing, copying or other use of, or taking any action in reliance on the contents of this information by person(s) or entities other than the intended recipient is strictly prohibited and may be unlawful. If you have received this communication in error, please notify us by responding to this email or telephone and immediately and permanently delete all copies of this message and any attachments from your system(s). The contents of this message do not necessarily represent the views or policies of BITS Pilani. -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to dealii+unsubscr...@googlegroups.com. To view this discussion visit https://groups.google.com/d/msgid/dealii/670b196b-233e-4167-a6b4-89a0792e9210n%40googlegroups.com.
