Context Navigation

PoissonSolver

v16	v17
13	13	where u is the dependent variable we are solving for, and f is the forcing term.
14	14
15		The solution to this equation needs to simultaneously 1) satisfy this equation at all points within a bounding region and 2) satisfy the boundary conditions on that region. Th~~is then can be interpreted~~ as an instantaneous system, much different than the wave-like solutions of hyperbolic equations which travel with finite speed.
	15	The solution to this equation needs to simultaneously 1) satisfy this equation at all points within a bounding region and 2) satisfy the boundary conditions on that region. Thus, this equation + solution can be thought of as an instantaneous system, much different than the wave-like solutions of hyperbolic equations which travel with finite speed.
16	16
17	17	Some special cases for elliptic equations occur when [[latex($\kappa = 1$)]]; when f is non-zero, we have the Poisson equation,