Abstract
The high order Boundary Element Methods for the system of Maxwell equations are discussed. Due to hierarchical construction of the bases in trial and test spaces, the matrix of the resulting system has a characteristic sub-matrix structure. The Adaptive Cross Approximation is successfully adapted and applied to the sub-matrices and almost linear complexity and memory requirements are achieved. The final system is solved by the iterative method GMRES. Numerical examples are presented.
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Rjasanow, S., Weggler, L. ACA accelerated high order BEM for Maxwell problems. Comput Mech 51, 431–441 (2013). https://doi.org/10.1007/s00466-012-0731-9
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DOI: https://doi.org/10.1007/s00466-012-0731-9