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arXiv · 2310.00381

Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries

Georgios Akrivis·Sören Bartels·Christian Palus
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Abstract

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.

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Georgios Akrivis, Sören Bartels, Christian Palus. 2023-09-30. Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries. https://arxiv.org/abs/2310.00381

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