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

Title: 无约束投影近似中的二次约束一致性以及调和映射和弯曲等距性

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. Show Chinese abstract

Abstract: 我们设计了一种无投影的迭代方案，用于近似调和映射，该方案提供了约束违反的二阶精度，并且在任何情况下都是能量稳定的。 在一种温和但必要的离散正则性条件下，相应的误差估计是有效的。 该方法基于BDF2方案的应用，所考虑的问题作为具有完整约束的偏微分方程的模型。 通过计算静态调和映射和弯曲等距来说明该方法的性能。