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Studies On The Regularization Methods For Cauchy Problem For The Laplace Equation With Nonhomogeneous Neumann Data In A Rectangle Domain
Posted on:
2012-10-30
Degree:
Master
Type:
Thesis
Country:
China
Candidate:
W Q Li
Full Text:
PDF
GTID:
2120330335970337
Subject:
Applied Mathematics
Abstract/Summary:
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In this thesis, we consider the Cauchy problem for the Laplace equation in a rectangle domainΩ={(x, y)|0
Keywords/Search Tags:
Ill-posed problem
,
Cauchy problem for the Laplace equation
,
Truncation regularization method
,
Modified Tikhonov regularization method
,
Neumann data
,
Error estimates
,
Regularization parameter
,
A-priori choice
,
A-posteriori choice
,
Discrepancy principle
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