Joseph Papac

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We present a novel and efficient method for solving the Poisson equation, the heat equation, and Stefan-type problems with Robin boundary conditions over potentially moving, arbitrarily-shaped domains. The method utilizes a level set framework, thus it has all of the benefits of a sharp, implicitly-represented interface such as the ease of handling complex(More)
Keywords: Level set method Epitaxial growth Diffusion Stefan problem Sharp interface Robin boundary condition a b s t r a c t We present a numerical method for simulating diffusion dominated phenomena on irregular domains and free moving boundaries with Robin boundary conditions on quadtree/ octree adaptive meshes. In particular, we use a hybrid(More)
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