On the Local Mesh Size of Nitsche's Method for Discontinuous Material Parameters
M. Juntunen. Numerical Mathematics and Advanced Applications - ENUMATH 2013, page 57--63. Cham, Springer International Publishing, (2015)
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.
%0 Conference Paper
%1 10.1007/978-3-319-10705-9_5
%A Juntunen, Mika
%B Numerical Mathematics and Advanced Applications - ENUMATH 2013
%C Cham
%D 2015
%E Abdulle, Assyr
%E Deparis, Simone
%E Kressner, Daniel
%E Nobile, Fabio
%E Picasso, Marco
%I Springer International Publishing
%K 65n30-pdes-bvps-finite-elements 65n50-pdes-bvps-mesh-generation-and-refinement
%P 57--63
%T On the Local Mesh Size of Nitsche's Method for Discontinuous Material Parameters
%X 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.
%@ 978-3-319-10705-9
@inproceedings{10.1007/978-3-319-10705-9_5,
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.},
added-at = {2019-04-05T02:55:46.000+0200},
address = {Cham},
author = {Juntunen, Mika},
biburl = {https://www.bibsonomy.org/bibtex/2fddf9073f7faf2640a85826cf100a45b/gdmcbain},
booktitle = {Numerical Mathematics and Advanced Applications - ENUMATH 2013},
editor = {Abdulle, Assyr and Deparis, Simone and Kressner, Daniel and Nobile, Fabio and Picasso, Marco},
interhash = {f6a89d3c53d615b9f6809fff380ec08a},
intrahash = {fddf9073f7faf2640a85826cf100a45b},
isbn = {978-3-319-10705-9},
keywords = {65n30-pdes-bvps-finite-elements 65n50-pdes-bvps-mesh-generation-and-refinement},
pages = {57--63},
publisher = {Springer International Publishing},
timestamp = {2019-04-05T02:55:46.000+0200},
title = {On the Local Mesh Size of Nitsche's Method for Discontinuous Material Parameters},
year = 2015
}