We propose a new discontinuous Galerkin (dG) method for a geometrically nonlinear Kirchhoff plate model for large isometric bending deformations. The minimization problem is nonconvex due to the isometry constraint. We present a practical discrete gradient flow that decreases the energy and computes discrete minimizers that satisfy a prescribed discrete isometry defect. We prove [Formula: see text]-convergence of the discrete energies and discrete global minimizers. We document the flexibility and accuracy of the dG method with several numerical experiments.

中文翻译：

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具有等距约束的大弯板变形的 DG 方法

我们为大型等距弯曲变形的几何非线性基尔霍夫板模型提出了一种新的不连续 Galerkin (dG) 方法。由于等距约束，最小化问题是非凸的。我们提出了一种实用的离散梯度流，它可以降低能量并计算满足规定的离散等距缺陷的离散极小值。我们证明了[公式：见正文]-离散能量和离散全局最小化器的收敛性。我们通过几个数值实验记录了 dG 方法的灵活性和准确性。