Abstract
Consider the Poisson equation −Δu= ƒ in a planar exterior domain of a bounded domainO. Assume thatƒ = 0 in the outside of a disc with sufficiently large diameter. The solutionu is assumed to be bounded at infinity. Discretizing the problem, we employ the finite element method (FEM, in short) inside the disc, and the charge simulation method (CSM, in short) outside the disc. A result of mathematical analysis for this FEM-CSM combined method is reported.
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Ushijima, T. An FEM-CSM combined method for planar exterior Laplace problems. Japan J. Indust. Appl. Math. 18, 359–382 (2001). https://doi.org/10.1007/BF03168580
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DOI: https://doi.org/10.1007/BF03168580