Hi Roy,
> Use Lagrange finite elements, but instead of approximating your
> integrals with Gaussian quadrature, approximate them with nodal
> quadrature (QTrap in libMesh IIRC). Each quadrature point falls on a
> node, and only one Lagrange shape function is non-zero at that node,
> so you only
On Wed, 16 Dec 2015, Harshad Sahasrabudhe wrote:
> Thanks. Yes, my goal is to have a non-diagonal mass matrix. I want
> to take the easiest path possible for doing that using LibMesh. By
> mass lumping with a Lagrange basis, do you mean having cell centered
> finite volume using a 0th order Lagra
Hi Roy,
Thanks. Yes, my goal is to have a non-diagonal mass matrix. I want to take
the easiest path possible for doing that using LibMesh. By mass lumping
with a Lagrange basis, do you mean having cell centered finite volume using
a 0th order Lagrange basis in finite element?
Thanks,
Harshad
On
On Wed, 16 Dec 2015, Harshad Sahasrabudhe wrote:
> Sorry I meant to say that the control volume will go beyond the
> element if the element has obtuse angles. I want to solve an
> elliptic second order PDE with vertex centered finite volume method.
Ah! Vertex centered makes your question make s
>
> I'm not sure what one thing (Delaunay mesh) has to do with the other (low
> order finite volume discretizations)?
I think it has to do with elements having obtuse angles. Delaunay mesh
> doesn't have obtuse angles so the centroid of the element lies inside it.
Sorry I meant to say that the
>
> I'm not sure what one thing (Delaunay mesh) has to do with the other (low
> order finite volume discretizations)?
I think it has to do with elements having obtuse angles. Delaunay mesh
doesn't have obtuse angles so the centroid of the element lies inside it.
On Wed, Dec 16, 2015 at 4:39 PM,
On Wed, Dec 16, 2015 at 2:29 PM, Harshad Sahasrabudhe
wrote:
> Hi Roy,
>
> Thanks for the reply. Do I need to have a Delaunay mesh for p_order=0? I
> probably need a low order discretization.
>
I'm not sure what one thing (Delaunay mesh) has to do with the other (low
order finite volume discreti
Hi Roy,
Thanks for the reply. Do I need to have a Delaunay mesh for p_order=0? I
probably need a low order discretization.
Thanks,
Harshad
On Wed, Dec 16, 2015 at 4:14 PM, Roy Stogner
wrote:
>
> On Wed, 16 Dec 2015, Harshad Sahasrabudhe wrote:
>
> I was wondering if anyone has worked on finite
On Wed, 16 Dec 2015, Harshad Sahasrabudhe wrote:
> I was wondering if anyone has worked on finite volume discretization in
> LibMesh. The eigenvalue problem on a FEM mesh requires a right hand side S
> matrix which needs to be inverted, and thus makes the eigenvalue
> calculation scaling bad.
>
>
Hi All,
I was wondering if anyone has worked on finite volume discretization in
LibMesh. The eigenvalue problem on a FEM mesh requires a right hand side S
matrix which needs to be inverted, and thus makes the eigenvalue
calculation scaling bad.
How hard would it be to implement finite volume disc
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