The Finite Element Method with the Dirichlet-to-Neumann Map for Sound-Hard Rectangular Rooms
نویسندگان
چکیده
In this paper, the finite element method (FEM) is used to solve the Helmholtz equation for a rectangular room with sound-hard boundaries. An imaginary surface is introduced to truncate the room, reducing the effective room size and thus the computational costs. The boundary condition on the imaginary surface is the Dirichletto-Neumann (DtN) map that exactly models the effect of the portion of the room that is removed. Results suggest that in addition to the computational savings, introducing the imaginary boundary and using the DtN map yields more accurate results than the conventional FEM without a DtN map.
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