## Re: [Libmesh-users] Role of exact solutions

 Re: [Libmesh-users] Role of exact solutions From: John Pitney - 2005-07-15 14:45:13 ```Hi, Thanks for the quick help. I think I get it now. If/when I get libMesh going, would there be any interest in some plotted examples of toy problems, with code, for the Wiki? I'm thinking of trying some "particle-in-a-box" Helmholtz equation problems and some 3D small-deformation structural problems. Best regards, John John Peterson writes: > Hi, > > Thanks for your interest in libMesh. In so-called "real" problems, > the exact solution is rarely known so it plays no part. ex14 is a > cooked-up example with an exact solution that contains a singularity > in its first derivative. This is a classical problem to test > convergence rates of adaptive finite element codes. The exact solution > is only used to compute the error in the finite element solution in > some appropriate norm (L2). > > -John ```

 Re: [Libmesh-users] Role of exact solutions From: John Pitney - 2005-07-15 14:45:13 ```Hi, Thanks for the quick help. I think I get it now. If/when I get libMesh going, would there be any interest in some plotted examples of toy problems, with code, for the Wiki? I'm thinking of trying some "particle-in-a-box" Helmholtz equation problems and some 3D small-deformation structural problems. Best regards, John John Peterson writes: > Hi, > > Thanks for your interest in libMesh. In so-called "real" problems, > the exact solution is rarely known so it plays no part. ex14 is a > cooked-up example with an exact solution that contains a singularity > in its first derivative. This is a classical problem to test > convergence rates of adaptive finite element codes. The exact solution > is only used to compute the error in the finite element solution in > some appropriate norm (L2). > > -John ```
 Re: [Libmesh-users] Role of exact solutions From: John Peterson - 2005-07-15 14:50:53 ```John Pitney writes: > Hi, > > Thanks for the quick help. I think I get it now. If/when I get > libMesh going, would there be any interest in some plotted > examples of toy problems, with code, for the Wiki? I'm thinking > of trying some "particle-in-a-box" Helmholtz equation problems and > some 3D small-deformation structural problems. Sure, the wiki is open to any and all. You may notice some issues while trying to edit it, however. The performance has not been so great for us. -J ```
 Re: [Libmesh-users] Role of exact solutions From: Roy Stogner - 2005-07-15 14:57:04 ```On Fri, 15 Jul 2005, John Pitney wrote: > Thanks for the quick help. I think I get it now. If/when I get > libMesh going, would there be any interest in some plotted > examples of toy problems, with code, for the Wiki? That's what the wiki's there for. Previously all the public "toy problems with code" had gone into the examples directory - which meant a lot of commenting work and a tough decision whenever someone had a distinctly new one. Ideally, this gets rid of the tough decisions: the answer to "would there be any interest in X for the wiki" is "yes" for most values of "X". --- Roy Stogner ```