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Inverse Problems in Science and Engineering Volume 19, 2011 - Issue 6
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Original Articles

A computational method to estimate the unknown coefficient in a wave equation using boundary measurements

Wenyuan LiaoDepartment of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4, Canada
Pages 855-877 | Received 12 May 2010, Accepted 23 Jan 2011, Published online: 07 Apr 2011

Citations (10)

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Read on this site (2)

Akbar Mohebbi & Masoume Abbasi. (2015) A fourth-order compact difference scheme for the parabolic inverse problem with an overspecification at a point. Inverse Problems in Science and Engineering 23:3, pages 457-478.
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Kamal Rashedi, Hojatollah Adibi & Mehdi Dehghan. (2014) Determination of space–time-dependent heat source in a parabolic inverse problem via the Ritz–Galerkin technique. Inverse Problems in Science and Engineering 22:7, pages 1077-1108.
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Articles from other publishers (8)

Kamal Rashedi. (2022) Reconstruction of a time‐dependent coefficient in nonlinear Klein–Gordon equation using Bernstein spectral method. Mathematical Methods in the Applied Sciences 46:2, pages 1752-1771.
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Christophe Roman, Francesco Ferrante & Christophe Prieur. (2021) Parameter Identification of a Linear Wave Equation From Experimental Boundary Data. IEEE Transactions on Control Systems Technology 29:5, pages 2166-2179.
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Kamal Rashedi & Mourad Sini. (2015) Stable recovery of the time-dependent source term from one measurement for the wave equation. Inverse Problems 31:10, pages 105011.
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Wenyuan Liao. (2015) An adjoint-based Jacobi-type iterative method for elastic full waveform inversion problem. Applied Mathematics and Computation 267, pages 56-70.
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Danping Cao & Wenyuan Liao. (2015) A computational method for full waveform inversion of crosswell seismic data using automatic differentiation. Computer Physics Communications 188, pages 47-58.
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Sambit Das, Wenyuan Liao & Anirudh Gupta. (2014) An efficient fourth-order low dispersive finite difference scheme for a 2-D acoustic wave equation. Journal of Computational and Applied Mathematics 258, pages 151-167.
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Kamal Rashedi, Hojatollah Adibi & Mehdi Dehghan. (2013) Application of the Ritz–Galerkin method for recovering the spacewise-coefficients in the wave equation. Computers & Mathematics with Applications 65:12, pages 1990-2008.
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Enrique Fernández-Cara & Faustino Maestre. (2012) On some inverse problems arising in elastography. Inverse Problems 28:8, pages 085001.
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