Combining Nonlinear FETI-DP Methods and Quasi-Newton Methods using an SQP Approach
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866913993256337408 |
|---|---|
| author | Köhler, Stephan Rheinbach, Oliver |
| author_facet | Köhler, Stephan Rheinbach, Oliver |
| contents | The combination of nonlinear FETI-DP (Dual Primal Finite Element Tearing and Interconnecting) and Quasi-Newton methods using a sequential quadratic programming (SQP) approach is considered. Nonlinear FETI-DP methods are parallel iterative solution methods for nonlinear finite element problems, based on divide and conquer, using Lagrange multipliers. In the method, we use Quasi-Newton approximations of Hessian for the quadratic programs, where the initial approximation uses the exact Hessian. To accelerate the convergence, we recompute the initial Hessian and restart the Quasi-Newton approximation. We provide numerical experiments using homogeneous model problems from nonlinear structural mechanics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11309 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Combining Nonlinear FETI-DP Methods and Quasi-Newton Methods using an SQP Approach Köhler, Stephan Rheinbach, Oliver Numerical Analysis The combination of nonlinear FETI-DP (Dual Primal Finite Element Tearing and Interconnecting) and Quasi-Newton methods using a sequential quadratic programming (SQP) approach is considered. Nonlinear FETI-DP methods are parallel iterative solution methods for nonlinear finite element problems, based on divide and conquer, using Lagrange multipliers. In the method, we use Quasi-Newton approximations of Hessian for the quadratic programs, where the initial approximation uses the exact Hessian. To accelerate the convergence, we recompute the initial Hessian and restart the Quasi-Newton approximation. We provide numerical experiments using homogeneous model problems from nonlinear structural mechanics. |
| title | Combining Nonlinear FETI-DP Methods and Quasi-Newton Methods using an SQP Approach |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2508.11309 |