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Fast sweeping method is a numerical method for solving [[Boundary value problem|boundary value problems]] of the [[Eikonal equation]]:
<math>|\nabla u(\mathbf{x})| = \dfrac{1}{f(\mathbf{x})} \text{ for } \mathbf{x} \in \Omega
</math>
<math>u(\mathbf{x}) = 0 \text{ for } \mathbf{x} \in \partial \Omega
</math>
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