On the application of the SCD semismooth* Newton method to solving Stokes problem with stick-slip boundary conditions
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917373381967872 |
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| author | Arzt, V. Beremlijski, P. Gfrerer, H. Outrata, J. V. |
| author_facet | Arzt, V. Beremlijski, P. Gfrerer, H. Outrata, J. V. |
| contents | The paper deals with the 3D Stokes problem with Navier-Tresca stick-slip boundary conditions. A weak formulation of this problem leads to a variational inequality of the second kind, coupled with an equality constraint. This problem is then approximated using the mixed finite element method, yielding a generalized equation, to the numerical solution of which we implement a variant of the SCD semismooth* Newton method. This includes also a globalization technique ensuring convergence for arbitrary starting points. Numerical experiments demonstrate the effeciency of this approach. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_29604 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the application of the SCD semismooth* Newton method to solving Stokes problem with stick-slip boundary conditions Arzt, V. Beremlijski, P. Gfrerer, H. Outrata, J. V. Numerical Analysis 65K15, 90C33, 35Q30 The paper deals with the 3D Stokes problem with Navier-Tresca stick-slip boundary conditions. A weak formulation of this problem leads to a variational inequality of the second kind, coupled with an equality constraint. This problem is then approximated using the mixed finite element method, yielding a generalized equation, to the numerical solution of which we implement a variant of the SCD semismooth* Newton method. This includes also a globalization technique ensuring convergence for arbitrary starting points. Numerical experiments demonstrate the effeciency of this approach. |
| title | On the application of the SCD semismooth* Newton method to solving Stokes problem with stick-slip boundary conditions |
| topic | Numerical Analysis 65K15, 90C33, 35Q30 |
| url | https://arxiv.org/abs/2603.29604 |