Linked from

The 39 pages that link to Poisson's equation, each with the reason it gives.

• Partial differential equationBroader topic: It extends Laplace's equation to fields generated by distributed sources.

• Green's functionBroader topic: Its Green's function computes potentials generated by charge or mass distributions.

• Elliptic partial differential equationBroader topic: It models elliptic fields generated by charges, masses, or other sources.

• Weak solutionBroader topic: Its integral formulation produces a standard model for weak solutions and energy methods.

• Fredholm alternativeBroader topic: Boundary conditions can produce a linear operator equation whose compatibility is tested by the alternative.

• Elliptic regularityBroader topic: Its solutions gain derivatives according to the regularity of the source and boundary data.

• Conjugate gradient methodBroader topic: Discretizing this equation yields a standard test case for conjugate-gradient solvers.

• Siméon Denis PoissonBroader topic: Poisson formulated this equation, central to potential theory and mathematical physics.

• Elliptic operatorBroader topic: It is a central inhomogeneous elliptic equation in physics and mathematics.

• Lax–Milgram theoremBroader topic: Its Dirichlet problem is a standard example whose weak solution follows from the theorem.

• Successive over-relaxationBroader topic: Finite-difference Poisson problems produce systems often solved with SOR.

• Lions–Lax–Milgram theoremBroader topic: Its weak Dirichlet formulation is a standard coercive application.