Global boundary conditions and fast Helmholtz solvers

• Electromagnetic scattering from a conducting two-dimensional cylinder is modeled by solving Helmholtz's equation with the far-field radiation boundary condition replaced by a global boundary condition allowing. This allows the boundary condition to be applied very near the scatterer. The discrete problem is solved by a biconjugate gradient algorithm. IncompleteLUdecomposition is used as a preconditioning strategy, resulting in very fast convergence. The numerical solution is compared with known solutions and found to converge fasters forka⩽10, wherekis the wave number andais the radius of the cylinder

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NATURVETENSKAP  -- Data- och informationsvetenskap (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences (hsv//eng)

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