I get it now. Thanks for your rely. Best, Wayne
在2023年3月15日星期三 UTC+8 00:19:43<Wolfgang Bangerth> 写道： > > > This question might be silly. Is laplcae operator a positive definite > > system and easy to solve? Does it become ill-conditioned when > > mesh size and mesh quality reduce? > > "ill-conditioned" and "difficult to solve" are two different things. The > condition number of the discretized Laplace operator (i.e., the Laplace > matrix) grows like O(1/h^2), so it becomes quite large on fine meshes. But > linear systems with this matrix are relatively easy to solve if you use > multigrid methods. > > Best > W. > > -- > ------------------------------------------------------------------------ > Wolfgang Bangerth email: [email protected] > www: http://www.math.colostate.edu/~bangerth/ > > > -- 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 [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/cc27a2dc-cf80-495c-81df-e25e03d2c13en%40googlegroups.com.
