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Blaheta, R.; Sysala, S.; Lukas, D.; Kruis, J.; Rozloznik, M.; Tichy, P. (Ed.)We present a simple finite element formulation of mass-consistent approximation, and a fast multigrid iterative method with adaptive semicoarsening, which maintains the convergence of the iterations over a range of grids and penalty coefficients. The method is designed to run in each time step of WRF-SFIRE and replace the interpolation from the atmospheric mesh to the fire mesh by a diagnostic model of the air flow over a fine-scale terrain.more » « less
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Wu, Yangqingxiang; Zikatanov, Ludmil T (, Lecture notes in computer science)Sistek, J.; Tichy, P; Kozubek, T.; Cermak, M.; Lukas, D.; Jaros, J.; Blaheta, R. (Ed.)We introduce an efficient method for computing the Stekloff eigenvalues associated with the indefinite Helmholtz equation. In general, this eigenvalue problem requires solving the Helmholtz equation with Dirichlet and/or Neumann boundary condition repeatedly. We propose solving the discretized problem with Fast Fourier Transform (FFT) based on carefully designed extensions and restrictions operators. The proposed Fourier method, combined with proper eigensolver, results in an efficient and easy approach for computing the Stekloff eigenvaluesmore » « less
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