The simplified Tikhonov regularization method for identifying the unknown source for the modified Helmholtz equation

DOI10.1155/2011/953492zbMath1235.65129OpenAlexW2057439054WikidataQ58693672 ScholiaQ58693672MaRDI QIDQ410594

Fan Yang, Hengzhen Guo, Xiao-Xiao Li

Publication date: 3 April 2012

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/953492

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

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Cites Work

• The method of fundamental solutions for the inverse heat source problem
• Simplified Tikhonov and Fourier regularization methods on a general sideways parabolic equation
• A meshless method for solving an inverse spacewise-dependent heat source problem
• Source term identification in 1-D IHCP
• A modified Tikhonov regularization method for a spherically symmetric three-dimensional inverse heat conduction problem
• Two regularization methods for a spherically symmetric inverse heat conduction problem
• Data compatibility and conditional stability for an inverse source problem in the heat equation
• The boundary-element method for the determination of a heat source dependent on one variable
• An adaptive fast solver for the modified Helmholtz equation in two dimensions
• Determining Surface Temperatures from Interior Observations
• Structural identification of an unknown source term in a heat equation
• An introduction to the mathematical theory of inverse problems