3 votes
Accepted

Solving Poisson's Equation with Periodic Boundary Conditions

Here's what I think the problem is. You have the equation: $$\Delta u(x) = f(x), \, x\in \Omega.$$ where $\Omega$ is a circle/torus. First you have some compatibility constraints you have to satisfy. ...
lightxbulb's user avatar
  • 2,122
2 votes
Accepted

Solving Poisson's equation without a Dirichlet boundary condition

this will require making a new decomposition for each different starting point Not true? You could just offset the first solution you got using a random single Dirichlet boundary condition just as ...
Mikael Öhman's user avatar
1 vote

Solving Poisson's equation without a Dirichlet boundary condition

Here is an attempt at an expansion on the approach of adding a diagonal factor as described by Mikael Öhman. Suppose $L$ is the Laplacian of some connected mesh, and we wish to find some solution of ...
Jake1234's user avatar
  • 145

Only top scored, non community-wiki answers of a minimum length are eligible