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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

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

Numerical procedure for identification of water capacity of porous media

Fatullayev, Afet; Can, Emine - In: Mathematics and Computers in Simulation (MATCOM) 52 (2000) 2, pp. 113-120

An inverse problem is formulated to determine water capacity of porous media. Mathematical model of the problem involves a nonlinear parabolic equation in which the coefficient representing water capacity is unknown and to be determined from over specified data measured on the boundary. By using...

Persistent link: https://www.econbiz.de/10010870479

Identifying the coefficient of first-order in parabolic equation from final measurement data

Deng, Zui-Cha; Yu, Jian-Ning; Yang, Liu - In: Mathematics and Computers in Simulation (MATCOM) 77 (2008) 4, pp. 421-435

transformed into an optimal control problem by the optimization theory. The existence, uniqueness and necessary condition of the …

Persistent link: https://www.econbiz.de/10010870569

Identification of strength and location of stationary point source of atmospheric pollutant in urban conditions using computational fluid dynamics model

Kovalets, Ivan V.; Andronopoulos, Spyros; Venetsanos, … - In: Mathematics and Computers in Simulation (MATCOM) 82 (2011) 2, pp. 244-257

In this paper a method is presented which allows for estimation of the location and rate of an unknown point stationary source of passive atmospheric pollutant in a complex urban geometry. The variational formulation is used in which the cost function characterizing difference of the calculated...

Persistent link: https://www.econbiz.de/10010870604