Partial Differential Equation Toolbox™

poisolv - Fast solution of Poisson's equation on rectangular grid

Syntax

u=poisolv(b,p,e,t,f)

Description

u=poisolv(b,p,e,t,f) solves Poisson's equation with Dirichlet boundary conditions on a regular rectangular grid. A combination of sine transforms and tridiagonal solutions is used for increased performance.

The boundary conditions b must specify Dirichlet conditions for all boundary points.

The mesh p, e, and t must be a regular rectangular grid. For details on the mesh data representation, see initmesh.

f gives the right-hand side of Poisson's equation.

Apart from roundoff errors, the result should be the same as u=assempde(b,p,e,t,1,0,f).

Reference

Strang, Gilbert, Introduction to Applied Mathematics, Wellesley-Cambridge Press, Cambridge, MA, 1986, pp. 453–458.

See Also

poimesh

refinemesh