A numerical algorithm for the diffusion equation using 3D FEM and the Arnoldi method

DOI10.1007/BF01225699zbMath0945.65110MaRDI QIDQ1971588

Vassilis L. Syrmos, D. Y. Y. Yun, Qing Su

Publication date: 24 September 2000

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

zbMATH Keywords

finite element methodKrylov subspace methodArnoldi algorithmBoltzmann transport equationmedical technology3D photon diffusion problem

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Medical applications (general) (92C50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Cites Work

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• Efficient Solution of Parabolic Equations by Krylov Approximation Methods
• Nineteen Dubious Ways to Compute the Exponential of a Matrix
• A fast and accurate imaging algorithm in optical/diffusion tomography

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