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A wave-splitting based optimization approach to multi-dimensional time-domain electromagnetic inverse problems

Gustafsson, Mats; He, Sailing - In: Mathematics and Computers in Simulation (MATCOM) 50 (1999) 5, pp. 541-551

An optimization approach to a multi-dimensional electromagnetic inverse problem in the time domain is considered. Wave …-splitting is integrated in the optimization algorithm. An analysis based on energy estimates is given to show that the wave … conductivity are reconstructed by minimizing an objective functional. An explicit expression for the gradient of the objective …

Persistent link: https://www.econbiz.de/10010749910

A local tangential lifting differential method for triangular meshes

Wu, Jyh-Yang; Chi, Mei-Hsiu; Chen, Sheng-Gwo - In: Mathematics and Computers in Simulation (MATCOM) 80 (2010) 12, pp. 2386-2402

and Wu [4] to define the discrete gradient of a function on a triangular mesh. We also use our new method to define the …

Persistent link: https://www.econbiz.de/10010869906

Matrix approach to mimetic discretizations for differential operators on non-uniform grids

Montilla, Orestes; Cadenas, Carlos; Castillo, José - In: Mathematics and Computers in Simulation (MATCOM) 73 (2006) 1, pp. 215-225

and higher mimetic operators, divergence and gradient. These operators have the same order of accuracy in the interior as …

Persistent link: https://www.econbiz.de/10010870178

Inverse problems involving the one-way wave equation: medium function reconstruction

Wall, David J.N.; Lundstedt, Jonas - In: Mathematics and Computers in Simulation (MATCOM) 50 (1999) 5, pp. 489-510

Inverse problems are considered for the linear one-way one-dimensional wave equation or transport equation. In particular the wave speed reconstruction problem for a medium is discussed. Inverse problems for non-stationary, but also non-dispersive, media are examined; this means problems for which...

Persistent link: https://www.econbiz.de/10010749705

Comparingparameter choice methods for regularization of ill-posed problems

Bauer, Frank; Lukas, Mark A. - In: Mathematics and Computers in Simulation (MATCOM) 81 (2011) 9, pp. 1795-1841

In the literature on regularization, many different parameter choice methods have been proposed in both deterministic and stochastic settings. However, based on the available information, it is not always easy to know how well a particular method will perform in a given situation and how it...

Persistent link: https://www.econbiz.de/10010750046

Determination of inner boundaries in modified Helmholtz inverse geometric problems using the method of fundamental solutions

Bin-Mohsin, B.; Lesnic, D. - In: Mathematics and Computers in Simulation (MATCOM) 82 (2012) 8, pp. 1445-1458

In this paper, an inverse geometric problem for the modified Helmholtz equation arising in heat conduction in a fin, which consists of determining an unknown inner boundary (rigid inclusion or cavity) of an annular domain from a single pair of boundary Cauchy data is solved numerically using the...

Persistent link: https://www.econbiz.de/10010751813

Optimization method for the inverse problem of reconstructing the source term in a parabolic equation

Yang, Liu; Deng, Zui-Cha; Yu, Jian-Ning; Luo, Guan-Wei - In: Mathematics and Computers in Simulation (MATCOM) 80 (2009) 2, pp. 314-326

This work investigates the inverse problem of reconstructing a spacewise dependent heat source in the parabolic heat equation using a final temperature measurement. Such problem has important application in a large field of applied science. On the basis of the optimal control framework, the...

Persistent link: https://www.econbiz.de/10010870059

An iterative approach to the solution of an inverse problem in linear elasticity

Ellabib, A.; Nachaoui, A. - In: Mathematics and Computers in Simulation (MATCOM) 77 (2008) 2, pp. 189-201

This paper presents an iterative alternating algorithm for solving an inverse problem in linear elasticity. A relaxation procedure is developed in order to increase the rate of convergence of the algorithm and two selection criteria for the variable relaxation factors are provided. The boundary...

Persistent link: https://www.econbiz.de/10010870118

A stable recovery method for the Robin inverse problem

Chaabane, S; Elhechmi, C; Jaoua, M - In: Mathematics and Computers in Simulation (MATCOM) 66 (2004) 4, pp. 367-383

We consider the inverse problem of identifying a Robin coefficient by performing measurement on some part of the boundary. After turning the inverse problem to an optimisation one by using a Kohn and Vogelius cost function, we study the stability of this method and present some numericals...

Persistent link: https://www.econbiz.de/10010870125

Inverse resistivity problem: Geoelectric uncertainty principle and numerical reconstruction method

Mukanova, Balgaisha; Orunkhanov, Murat - In: Mathematics and Computers in Simulation (MATCOM) 80 (2010) 10, pp. 2091-2108

Conjugate Gradient method (CGM) is applied for the numerical solution of this problem. Computational experiments were performed …

Persistent link: https://www.econbiz.de/10010870460