Abstract
We propose Nitsche’s method for discontinuous parameters that takes the local mesh sizes of the non-matching meshes carefully into account. The method automatically adapts to the changing material parameters and mesh sizes. With continuous parameters, the method compares to the classical Nitsche’s method. With large discontinuity, the method approaches assigning Dirichlet boundary conditions with Nitsche’s method.
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Juntunen, M. (2015). On the Local Mesh Size of Nitsche’s Method for Discontinuous Material Parameters. In: Abdulle, A., Deparis, S., Kressner, D., Nobile, F., Picasso, M. (eds) Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, vol 103. Springer, Cham. https://doi.org/10.1007/978-3-319-10705-9_5
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DOI: https://doi.org/10.1007/978-3-319-10705-9_5
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