Mortar Coupling of hp-Discontinuous Galerkin and Boundary Element Methods for the Helmholtz Equation
نویسندگان
چکیده
We design and analyze a coupling of discontinuous Galerkin finite element method with boundary to solve the Helmholtz equation variable coefficients in three dimensions. The is realized mortar that related an impedance trace on smooth interface. obtained has block structure nonsingular subblocks. prove quasi-optimality $$h$$ - $$p$$ -versions scheme, under threshold condition approximability properties discrete spaces. Amongst others, essential tool analysis novel discontinuous-to-continuous reconstruction operator tetrahedral meshes curved faces.
منابع مشابه
on the coupling of finite and boundary element methods for the helmholtz equation
finite and boundary element methods have been used by many authors to solve mathematicalphysics problems. however, the coupling of these two methods happens to be more efficient as it combinestheir merits. in this paper, the mathematical analysis of the coupling of finite and boundary element methodsfor the helmholtz equation is presented.
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ژورنال
عنوان ژورنال: Journal of Scientific Computing
سال: 2022
ISSN: ['1573-7691', '0885-7474']
DOI: https://doi.org/10.1007/s10915-022-01849-0