Abstract
In this chapter, we discuss the global ABCs for the exterior problem of 2-D and 3-D Poisson equation, the modified Helmholtz equation, and the Helmholtz equation. By using artificial boundaries, the original problems are reduced to boundary value problems on bounded computational domains. Boundary conditions on the artificial boundaries are obtained, and then the finite element method is applied to solve the reduced problems. Some error estimates are also given.
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Han, H., Wu, X. (2013). Global ABCs for Second Order Elliptic Equations. In: Artificial Boundary Method. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35464-9_2
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DOI: https://doi.org/10.1007/978-3-642-35464-9_2
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