Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries
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| Format: | Preprint |
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2023
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| _version_ | 1866916230260064256 |
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| author | Akrivis, Georgios Bartels, Sören Palus, Christian |
| author_facet | Akrivis, Georgios Bartels, Sören Palus, Christian |
| contents | We devise a projection-free iterative scheme for the approximation of harmonic maps that provides a second-order accuracy of the constraint violation and is unconditionally energy stable. A corresponding error estimate is valid under a mild but necessary discrete regularity condition. The method is based on the application of a BDF2 scheme and the considered problem serves as a model for partial differential equations with holonomic constraint. The performance of the method is illustrated via the computation of stationary harmonic maps and bending isometries. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_00381 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries Akrivis, Georgios Bartels, Sören Palus, Christian Numerical Analysis 35J62 (35J50 35J57 65N30) We devise a projection-free iterative scheme for the approximation of harmonic maps that provides a second-order accuracy of the constraint violation and is unconditionally energy stable. A corresponding error estimate is valid under a mild but necessary discrete regularity condition. The method is based on the application of a BDF2 scheme and the considered problem serves as a model for partial differential equations with holonomic constraint. The performance of the method is illustrated via the computation of stationary harmonic maps and bending isometries. |
| title | Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries |
| topic | Numerical Analysis 35J62 (35J50 35J57 65N30) |
| url | https://arxiv.org/abs/2310.00381 |