new ScalarPoissonProblem(geometry)
This class solves a scalar poisson problem on a surface mesh.
Parameters:
| Name | Type | Description |
|---|---|---|
geometry |
module:Core.Geometry | The input geometry of the mesh this class acts on. |
Properties:
| Name | Type | Description |
|---|---|---|
vertexIndex |
Object | A dictionary mapping each vertex of the input mesh to a unique index. |
A |
module:LinearAlgebra.SparseMatrix | The laplace matrix of the input mesh. |
M |
module:LinearAlgebra.SparseMatrix | The mass matrix of the input mesh. |
totalArea |
number | The total surface area of the input mesh. |
Methods
-
solve(rho)
-
Computes the solution of the poisson problem Ax = -M(rho - rhoBar), where A
is the positive definite laplace matrix and M is the mass matrix.Parameters:
Name Type Description rhomodule:LinearAlgebra.DenseMatrix A scalar density of vertices of the input mesh.
Returns: