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Link to original content: https://doi.org/10.48550/arXiv.2310.00381
[2310.00381] Quadratic constraint consistency in the projection-free approximation of harmonic maps and bending isometries
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Mathematics > Numerical Analysis

arXiv:2310.00381 (math)
[Submitted on 30 Sep 2023 (v1), last revised 1 May 2024 (this version, v2)]

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

Authors: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.
Subjects: Numerical Analysis (math.NA)
MSC classes: 35J62 (35J50 35J57 65N30)
Cite as: arXiv:2310.00381 [math.NA]
  (or arXiv:2310.00381v2 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2310.00381

Submission history

From: Sören Bartels [view email]
[v1] Sat, 30 Sep 2023 13:57:47 UTC (2,289 KB)
[v2] Wed, 1 May 2024 12:05:12 UTC (2,939 KB)
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