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## Re: [Libmesh-users] Availability of 3D Hermite and Higher Order of Shape Funtions

 Re: [Libmesh-users] Availability of 3D Hermite and Higher Order of Shape Funtions From: Roy Stogner - 2006-07-04 03:16:56 ```On Mon, 3 Jul 2006, David Xu wrote: > I was wondering if 3D hermite shape function is supported in libmesh? If so, > what 3D element types can be used together with 3d hermite? It's supported, but it's not well tested; I think the only code I've run it on so far is a simple biharmonic problem. I'm going to be using it for the Cahn-Hilliard equations soon, though, so hopefully any remaining bugs will be shaken out this month. They only work on rectilinear hex meshes in 3D, but that's not a failing of libMesh, it's a limitation of the element. > And What's the highest polynomial order we can go with 3D lagrange or > hermite? Lagrange only goes up to quadratic (and only to linear on pyramids!) - if you want basic polynomial C0 shape functions with high order polynomials you need to use the Hierarchics right now, which go up to p=10 or so on most second order geometric elements (with pyramids again being the glaring exception). The Hermites should also support high p on rectilinear lines, quads, and hexes. > Can anyone give a brief overview of all the shape function suported in > libmesh? Pros and Cons? highest p levels? > > I'm particularly interested in knowing more about LAGRANGE, HIERARCHIC, > CLOUGH, HERMITE, BERNSTEIN, SZABAB, XYZ, LEGENDRE and JACOBI_XXX. I'll write something about Lagrange/Hierarchic/Clough/Hermite this week; I suppose the documentation is a little thin (nonexistant) right now. --- Roy ```

 [Libmesh-users] Availability of 3D Hermite and Higher Order of Shape Funtions From: David Xu - 2006-07-03 23:21:31 Attachments: Message as HTML ```Hi All, I was wondering if 3D hermite shape function is supported in libmesh? If so, what 3D element types can be used together with 3d hermite? And What's the highest polynomial order we can go with 3D lagrange or hermite? Can anyone give a brief overview of all the shape function suported in libmesh? Pros and Cons? highest p levels? I'm particularly interested in knowing more about LAGRANGE, HIERARCHIC, CLOUGH, HERMITE, BERNSTEIN, SZABAB, XYZ, LEGENDRE and JACOBI_XXX. Thanks, David ```
 Re: [Libmesh-users] Availability of 3D Hermite and Higher Order of Shape Funtions From: Roy Stogner - 2006-07-04 03:16:56 ```On Mon, 3 Jul 2006, David Xu wrote: > I was wondering if 3D hermite shape function is supported in libmesh? If so, > what 3D element types can be used together with 3d hermite? It's supported, but it's not well tested; I think the only code I've run it on so far is a simple biharmonic problem. I'm going to be using it for the Cahn-Hilliard equations soon, though, so hopefully any remaining bugs will be shaken out this month. They only work on rectilinear hex meshes in 3D, but that's not a failing of libMesh, it's a limitation of the element. > And What's the highest polynomial order we can go with 3D lagrange or > hermite? Lagrange only goes up to quadratic (and only to linear on pyramids!) - if you want basic polynomial C0 shape functions with high order polynomials you need to use the Hierarchics right now, which go up to p=10 or so on most second order geometric elements (with pyramids again being the glaring exception). The Hermites should also support high p on rectilinear lines, quads, and hexes. > Can anyone give a brief overview of all the shape function suported in > libmesh? Pros and Cons? highest p levels? > > I'm particularly interested in knowing more about LAGRANGE, HIERARCHIC, > CLOUGH, HERMITE, BERNSTEIN, SZABAB, XYZ, LEGENDRE and JACOBI_XXX. I'll write something about Lagrange/Hierarchic/Clough/Hermite this week; I suppose the documentation is a little thin (nonexistant) right now. --- Roy ```