Applications to Problems with Singularity

Houde Han () and Xiaonan Wu ()
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Houde Han: Tsinghua University, Department of Mathematical Sciences
Xiaonan Wu: Hong Kong Baptist University, Department of Mathematics

Chapter Chapter 9 in Artificial Boundary Method, 2013, pp 365-408 from Springer

Abstract: Abstract In this chapter, we discuss the application of ABCs for some problems with singularity, including the modified Helmholtz equation with singularity, the interface problem, the linear elastic system with singularity, and the Stokes equations with singularity. By using artificial boundaries, the singular points are removed, and the original problems are reduced to boundary value problems on 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.

Keywords: Modified Helmholtz equation; interface problem; linear elastic system; Stokes equations; singularity (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-35464-9_10

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DOI: 10.1007/978-3-642-35464-9_10

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