A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case
نویسندگان
چکیده
Abstract. We design and analyze a new non-conforming domain decomposition method based on Schwarz type approaches that allows for the use of Robin interface conditions on non-conforming grids. The method is proven to be well posed, and the iterative solver to converge. The error analysis is performed in 2D piecewise polynomials of low and high order and extended in 3D for P1 elements. Numerical results in 2D illustrate the new method.
منابع مشابه
A New Cement to Glue Nonconforming Grids with Robin Interface Conditions: The Finite Element Case
We present and analyze a new nonconforming domain decomposition method based on a Schwarz method with Robin transmission conditions. We prove that the method is well posed and convergent. Our error analysis is valid in two dimensions for piecewise polynomials of low and high order and also in three dimensions for P1 elements. We further present an efficient algorithm in two dimensions to perfor...
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ورودعنوان ژورنال:
- Numerische Mathematik
دوره 92 شماره
صفحات -
تاریخ انتشار 2002