A modified quasi-reversibility method for inverse source problem of Poisson equation

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2021.1902516 ◽

2021 ◽

pp. 1-12

Author(s):

Jin Wen ◽

Li-Ming Huang ◽

Zhuan-Xia Liu

Keyword(s):

Poisson Equation ◽

Inverse Source Problem

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Boundary element approach for an inverse source problem of the Poisson equation with a one-point-mass like source

Applied Mathematical Modelling ◽

10.1016/0307-904x(94)90084-1 ◽

1994 ◽

Vol 18 (4) ◽

pp. 216-223 ◽

Author(s):

Takashi Ohe ◽

Kohzaburo Ohnaka

Keyword(s):

Boundary Element ◽

Poisson Equation ◽

Inverse Source Problem ◽

The Poisson Equation ◽

Element Approach

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Determination of locations of point-like masses in an inverse source problem of the Poisson equation

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(94)90180-5 ◽

1994 ◽

Vol 54 (2) ◽

pp. 251-261 ◽

Author(s):

Takashi Ohe ◽

Kohzaburo Ohnaka

Keyword(s):

Poisson Equation ◽

Inverse Source Problem ◽

The Poisson Equation

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Two regularization methods for inverse source problem on the Poisson equation

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2015.1022168 ◽

2015 ◽

Vol 60 (10) ◽

pp. 1374-1391

Author(s):

Jingjun Zhao ◽

Songshu Liu

Keyword(s):

Poisson Equation ◽

Regularization Methods ◽

Inverse Source Problem ◽

The Poisson Equation

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A Dual Reciprocity Boundary Element Method for the Regularized Numerical Solution of the Inverse Source Problem Associated to the Poisson Equation

Inverse Problems in Engineering ◽

10.1080/1068276031000074267 ◽

2003 ◽

Vol 11 (2) ◽

pp. 123-139 ◽

Author(s):

A. Farcas ◽

L. Elliott ◽

D.B. Ingham ◽

D. Lesnic ◽

N.S. Mera

Keyword(s):

Boundary Element Method ◽

Numerical Solution ◽

Boundary Element ◽

Poisson Equation ◽

Inverse Source Problem ◽

The Poisson Equation ◽

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Compensation of domain modelling errors in the inverse source problem of the Poisson equation: Application in electroencephalographic imaging

Applied Numerical Mathematics ◽

10.1016/j.apnum.2016.01.005 ◽

2016 ◽

Vol 106 ◽

pp. 24-36 ◽

Author(s):

Alexandra Koulouri ◽

Ville Rimpiläinen ◽

Mike Brookes ◽

Jari P. Kaipio

Keyword(s):

Poisson Equation ◽

Inverse Source Problem ◽

The Poisson Equation ◽

Domain Modelling

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Central difference regularization method for inverse source problem on the Poisson equation

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2014.940926 ◽

2014 ◽

Vol 60 (3) ◽

pp. 405-415

Author(s):

Jingjun Zhao ◽

Songshu Liu

Keyword(s):

Poisson Equation ◽

Regularization Method ◽

Inverse Source Problem ◽

Central Difference ◽

The Poisson Equation

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Numerical Method for Solving Inverse Source Problem for Poisson Equation

Asian-European Journal of Mathematics ◽

10.1142/s1793557121501734 ◽

2020 ◽

Author(s):

Abir Benyoucef ◽

Leila Alem ◽

Lahcene Chorfi

Keyword(s):

Numerical Method ◽

Poisson Equation ◽

Inverse Source Problem

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Multipole Expansion-Based Algebraic Solution for an Inverse Source Problem of the Three-Dimensional Poisson Equation.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.68.407 ◽

2002 ◽

Vol 68 (667) ◽

pp. 407-414 ◽

Author(s):

Takaaki NARA ◽

Shigeru ANDO

Keyword(s):

Poisson Equation ◽

Three Dimensional ◽

Multipole Expansion ◽

Algebraic Solution ◽

Inverse Source Problem

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

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2693 ◽

2012 ◽

Vol 36 (11) ◽

pp. 1399-1408

Author(s):

Jingjun Zhao ◽

Songshu Liu ◽

Tao Liu

Keyword(s):

Poisson Equation ◽

Regularization Methods ◽

Inverse Source Problem ◽

The Poisson Equation

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ALGEBRAIC SOLUTION FOR THE INVERSE SOURCE PROBLEM OF THE POISSON EQUATION

Recent Development in Theories and Numerics ◽

10.1142/9789812704924_0025 ◽

2003 ◽

Author(s):

T. NARA ◽

S. ANDO

Keyword(s):

Poisson Equation ◽

Algebraic Solution ◽

Inverse Source Problem ◽

The Poisson Equation

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