Mimetic scalar products of discrete differential forms

F. Brezzi; A. Buffa; G. Manzini

首页> 外文期刊>Journal of Computational Physics >Mimetic scalar products of discrete differential forms

【24h】

Mimetic scalar products of discrete differential forms

机译：离散微分形式的模拟标量积

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We propose a strategy for the systematic construction of the mimetic inner products on cochain spaces for the numerical approximation of partial differential equations on unstructured polygonal and polyhedral meshes. The mimetic inner products are locally built in a recursive way on each k-cell and, then, globally assembled. This strategy is similar to the implementation of the finite element methods. The effectiveness of this approach is documented by deriving mimetic discretizations and testing their behavior on a set of problems related to the Maxwell equations.

机译：我们提出了一种在共链空间上系统构建拟态内积的策略，用于非结构化多边形和多面体网格上偏微分方程的数值逼近。模拟内部产品以递归方式在每个k单元上本地构建，然后全局组装。此策略类似于有限元方法的实现。通过推导模拟离散化并在与麦克斯韦方程有关的一组问题上测试其行为，证明了这种方法的有效性。

著录项

来源
《Journal of Computational Physics》 |2014年第2期|共32页
作者
F. Brezzi; A. Buffa; G. Manzini;
展开▼
作者单位

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类数学物理方法;
关键词
Discrete differential form; Mimetic finite difference method; Polyhedral mesh;

机译：离散微分形式;模拟有限差分法;多面体网格;

相似文献

外文文献
中文文献
专利

1. Mimetic scalar products of discrete differential forms [J] . F. Brezzi, A. Buffa, G. Manzini Journal of Computational Physics . 2014,第Pta2期

机译：离散微分形式的模拟标量积
2. Asymptotic expansions for time-varying scalar differential equations using the residue theorem for their discretized difference equations [J] . De la Sen M Applied mathematics and computation . 2010,第1期

机译：使用残差定理的离散差分方程的时变标量微分方程的渐近展开
3. Generalized Gaffney inequality and discrete compactness for discrete differential forms [J] . He Juncai, Hu Kaibo, Xu Jinchao Numerische Mathematik . 2019,第4期

机译：离散微分形式的广义Gaffney不等式和离散紧凑性
4. A new scalar product restraint transformer differential protection algorithm [C] . Du J., Lu Y., Zhu G., 8th International Conference on Advances in Power System Control, Operation and Management . 2009

机译：一种新的标量积约束变压器差动保护算法
5. Deformation styles of allochthonous salt sheets during differential loading conditions: Insights from discrete element models. [D] . Maxwell, Scott Allen. 2009

机译：不同载荷条件下异质盐板的变形方式：离散元模型的见解。
6. Biogenesis of membrane-bound and secreted immunoglobulins: two primary translation products of the human delta chain differentially N-glycosylated to four discrete forms in vivo and in vitro. [O] . J M McCune, S M Fu, H G Kunkel, 1981

机译：膜结合和分泌的免疫球蛋白的生物发生：人三角洲链的两个主要翻译产物在体内和体外被N-糖基化为四种离散形式。
7. Biogenesis of membrane-bound and secreted immunoglobulins: two primary translation products of the human delta chain, differentially N-glycosylated to four discrete forms in vivo and in vitro. [O] . McCune, J M, Fu, S M, Kunkel, H G, 1981

机译：膜结合和分泌的免疫球蛋白的生物发生：人三角洲链的两个主要翻译产物，在体内和体外被N-糖基化为四种离散形式。

Mimetic scalar products of discrete differential forms

摘要

著录项

相似文献

相关主题

期刊订阅