Two Tikhonov-type regularization methods for inverse source problem on the Poisson equation

DOI10.1002/mma.2693zbMath1294.47020OpenAlexW1972710885MaRDI QIDQ2846211

Jingjun Zhao, Tao Liu, Songshu Liu

Publication date: 5 September 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2693

zbMATH Keywords

error estimatesPoisson equationTikhonov regularizationill-posed problemsinverse source problemstability estimate

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

Cites Work

• A meshless method for solving an inverse spacewise-dependent heat source problem
• Source term identification in 1-D IHCP
• The boundary-element method for the determination of a heat source dependent on one variable
• On problems of determining the source function in a parabolic equation
• Identification of source locations in two-dimensional heat equations
• Identification of dipole sources in a bounded domain for Maxwell's equations.

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