The numerical solution of forward and inverse Robin problems for Laplace’s equation

The Robin boundary value problem for Laplace’s equation in the elliptic region (which is a forward problem) and its related inverse problem can be used to reconstruct Robin coefficients from measurements on a partial boundary (inverse problem). We present a numerical solution of the forward problem...

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Bibliographic Details
Published in:	Boundary value problems Vol. 2019; no. 1; pp. 1 - 13
Main Authors:	Qu, Dan, Ma, Yan-Bo
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.07.2019 Hindawi Limited SpringerOpen
Subjects:	Analysis Approximations and Expansions Boundary element method Boundary integral equations Boundary integral method Boundary value problems Difference and Functional Equations Forward problem Integral equations Inverse problems Laplace equation Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Preconditioned Krylov subspace method Robin inverse problem Subspace methods Preconditioned Krylov subspace method Robin inverse problem Laplace equation 45Q05 65N21 Boundary integral equations
ISSN:	1687-2770, 1687-2762, 1687-2770
Online Access:	Get full text
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