A new least-squares transport equation compatible with voids
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We define a new least-squares transport equation that is applicable in voids, can be solved using source iteration with diffusion-synthetic acceleration, and requires only the solution of an independent set of second-order self-adjoint equations for each direction during each source iteration. We derive the equation, discretize it using the Sn method in conjuction with a linear-continuous finite-element method in space, and computationally demonstrate various of its properties.