An Adaptive Finite Element Method for the Diffraction Grating Problem with Transparent Boundary Condition


The diffraction grating problem is modeled by a boundary value problem governed by a Helmholtz equation with transparent boundary conditions. An a posteriori error estimate is derived when the truncation of the nonlocal boundary operators takes place. To overcome the difficulty caused by the fact that the truncated Dirichlet-to-Neumann (DtN) mapping does… (More)
DOI: 10.1137/140969907


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