Struct PoissonSolver2D 

pub struct PoissonSolver2D { /* private fields */ }

Poisson’s equation solver for 2D problems

Solves ∇²u = f(x, y), or in expanded form: ∂²u/∂x² + ∂²u/∂y² = f(x, y)

Implementations

impl PoissonSolver2D

pub fn new( domain: Domain, source_term: impl Fn(f64, f64) -> f64 + Send + Sync + 'static, boundary_conditions: Vec<BoundaryCondition<f64>>, options: Option<EllipticOptions>, ) -> PDEResult<Self>

Create a new Poisson equation solver for 2D problems

pub fn solve_sor(&self) -> PDEResult<EllipticResult>

Solve the Poisson equation using Successive Over-Relaxation (SOR)

pub fn solve_direct(&self) -> PDEResult<EllipticResult>

Solve the Poisson equation using direct sparse solver

This method sets up the linear system Au = b and solves it directly. It creates a sparse matrix for the Laplacian operator and applies boundary conditions to the system.