We extend the construction of so-called encapsulated global summation-by-parts operators to the general case of a mesh which is not boundary conforming. Owing to this development, energy stable discretizations of nonlinear and variable coefficient initial boundary value problems can be formulated in simple and straightforward ways using high-order accurate operators of generalized summation-by-parts type. Encapsulated features on a single computational block or element may include polynomial bases, tensor products as well as curvilinear coordinate transformations. Moreover, through the use of inner product preserving interpolation or projection, the global summation-by-parts property in extended to arbitrary multi-block or multi-element meshes with non-conforming nodal interfaces.

翻译：我们将所谓的封装全局求和分块算子构造扩展到非边界一致网格的一般情况。得益于这一发展，使用广义求和分块类型的高阶精确算子，可以简单直接地构造非线性和变系数初边值问题的能量稳定离散格式。单个计算块或单元上的封装特性可包括多项式基函数、张量积以及曲线坐标变换。此外，通过使用内积保持插值或投影，全局求和分块性质被推广到具有非一致节点接口的任意多块或多单元网格。