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Adjoint sensitivity in Electrical Impedance Tomography using COMSOL Multiphysics

Author: Mulckhuyse, W.F.W. · Lahaye, D. · Belitskaya, A.
Type:article
Date:2012
Publisher: British Institute of Non-Destructive Testing
Source:9th International Conference on Condition Monitoring and Machinery Failure Prevention Technologies 2012, CM 2012 and MFPT 2012, 12-14 June 2012, London, UK, 490-501
Identifier: 513246
ISBN: 9781622764334
Keywords: Electronics · Algorithms · Condition monitoring · 3D reconstruction problems · Adjoint sensitivities · Electrical impedance tomography (EIT) · Finite difference approach · Gradient calculations · Gradient computation · Gradient-based optimization · Industrial Innovation · Physics & Electronics · NI - Nano Instrumentation · TS - Technical Sciences

Abstract

In 3D reconstruction problems the number of design variables is large and the forward model is typically computationally expensive. Reconstruction using gradient-based optimization algorithms requires many gradient computations. For such problems the computational cost of a finite difference approach to gradient calculation is prohibitive since the number of forward model evaluations per gradient calculation is equal to the number of design variables. We introduce the adjoint method which drastically reduces the amount of computations required for gradient calculation. Also, we introduce COMSOL Multiphysics as a valuable modeling and prototyping tool to be used for forward model evaluation and gradient calculation through the adjoint method. An example in Electrical Impedance Tomography (EIT) is provided to illustrate the use of the adjoint method for practical problems.