conv_gci — CONVERGE verification op

• 数据种类:无 → table(仅由参数决定的算子 —— 不接受图像或数据输入)

• 调用: import fullseye as fs; fs.ledger.conv_gci(phi=None, h=None, r=None, n_cells=None, dim=None, safety_factor=1.25) -> 'dict'(要直接调用实现,import converge; converge.conv_gci(phi=None, h=None, r=None, n_cells=None, dim=None, safety_factor=1.25) -> 'dict';从台账取用则 opsconverge.get("conv_gci"))

用法

最细解的网格收敛指数 GCI:Celik 等 2008 的步骤(式 1–7)。

> 以下的详细说明为原文 —— 摘要与标题已翻译。

Takes the same inputs as conv_observed_order (three solutions, finest first, and the refinement) and returns, with p from eq. (3):

phi_ext21 = (r21^p phi1 - phi2) / (r21^p - 1) (4) (and phi_ext32)

e_a21 = |(phi1 - phi2) / phi1| (5)

e_ext21 = |(phi_ext12 - phi1) / phi_ext12| (6)

GCI_fine21 = 1.25 e_a21 / (r21^p - 1) (7)

(safety_factor = 1.25 as in eq. (7)). Fractions and percentages are both returned, and report reads "phi1 +- GCI". Note what the GCI is not: it bounds the discretization error of the fine solution only — "this does not account for modeling errors" (Celik).

Refusal as in conv_observed_order, plus phi1 = 0 or phi_ext = 0 (relative errors undefined). Defaults: Celik Table 1, first column (GCI 2.2 %).

详细使用指南

• convergent_computation 族使用指南

参考(示例数据、文献)

• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。

• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。

• 算法的正典(作者、年份)与用途见上面的族使用指南。

可运行的示例(实际调用该算子并已验证的样例)

• converge_tour — py -3.11 examples/converge_tour.py

类型可衔接的下一个算子(可接受 table 作为输入)

—

同类别(verification)

conv_observed_order


*Provenance: converge.py — CONVERGE 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*

© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.