A new Cement to Glue non-conforming Grids with Robin interface conditions: the finite element case

Caroline Japhet (1) , Yvon Maday (2) , Frédéric Nataf (2)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 LJLL - Laboratoire Jacques-Louis Lions

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 $P_1$ elements. Numerical results in 2D illustrate the new method.

Mots clés: mortar method; non matching grid; domain decomposition method; optimized interface conditions

Domaines: Analyse numérique [math.NA]

Caroline Japhet, Yvon Maday, Frédéric Nataf. A new Cement to Glue non-conforming Grids with Robin interface conditions: the finite element case. 2007. ⟨hal-00144262⟩