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The solution of extremely large scattering problems that are formulated by integral equations and discretised with tens of millions of unknowns is reported. Accurate and efficient solutions are performed by employing a parallel implementation of the multilevel fast multipole algorithm. The effectiveness of the implementation is demonstrated on a sphere problem containing more than 33 million unknowns, which is the largest integral-equation problem ever solved to our knowledge.
Inspec keywords: interpolation; parallel algorithms; computational electromagnetics; electromagnetic wave scattering; integral equations
Other keywords:
Subjects: Electrical engineering computing; Interpolation and function approximation (numerical analysis); Electromagnetic waves: theory; Integral equations (numerical analysis); Integral equations (numerical analysis); Physics and chemistry computing; Electromagnetic wave propagation; Numerical approximation and analysis; Interpolation and function approximation (numerical analysis)