- #1

Morberticus

- 85

- 0

Hi,

I know the weak form of the Poisson problem

[itex]\nabla^2 \phi = -f[/itex]

looks like

[itex]\int \nabla \phi \cdot \nabla v = \int f v[/itex]

for all suitable [itex]v[/itex]. Is there a similarly well-known form for the slightly more complicated poisson problem?

[itex]\nabla (\psi \nabla \phi ) = -f[/itex]

I am writing some finite element code and variational/weak forms are very handy.

Thanks in advance

I know the weak form of the Poisson problem

[itex]\nabla^2 \phi = -f[/itex]

looks like

[itex]\int \nabla \phi \cdot \nabla v = \int f v[/itex]

for all suitable [itex]v[/itex]. Is there a similarly well-known form for the slightly more complicated poisson problem?

[itex]\nabla (\psi \nabla \phi ) = -f[/itex]

I am writing some finite element code and variational/weak forms are very handy.

Thanks in advance

Last edited: