Higher-order topological sensitivity analysis for the Laplace operator

被引：1
|
作者：
Hassine, Maatoug [1 ]
Khelifi, Khalifa [1 ]
机构：
[1] Monastir Univ, FSM, Monastir 5019, Tunisia
来源：
COMPTES RENDUS MATHEMATIQUE | 2016年 / 354卷 / 10期
关键词：
FLOW;
D O I：
10.1016/j.crma.2016.09.002
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper deals with higher-order topological sensitivity analysis for the Laplace operator with respect to the presence of a Dirichlet geometry perturbation. Two main results are presented in this work. In the first one, we discuss the influence of the considered geometry perturbation on the Laplace solution. The second one is devoted to the higher-order topological derivatives. We derive a higher-order topological sensitivity analysis for a large class of shape functions. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：993 / 999
页数：7
相关论文
共 50 条
  • [31] On Higher-Order Sensitivity Analysis in Nonsmooth Vector Optimization
    Diem, H. T. H.
    Khanh, P. Q.
    Tung, L. T.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2014, 162 (02) : 463 - 488
  • [32] Higher-order entanglement and many-body invariants for higher-order topological phases
    You, Yizhi
    Bibo, Julian
    Pollmann, Frank
    [J]. PHYSICAL REVIEW RESEARCH, 2020, 2 (03):
  • [33] Constructing higher-order topological states in higher dimensions
    Wang, Yao
    Ke, Yongguan
    Chang, Yi-Jun
    Lu, Yong-Heng
    Gao, Jun
    Lee, Chaohong
    Jin, Xian-Min
    [J]. PHYSICAL REVIEW B, 2021, 104 (22)
  • [34] LAPLACE TRANSFORM AND CONVOLUTION INTEGRAL FOR HIGHER-ORDER SYSTEMS
    PULE, C
    [J]. INTERNATIONAL JOURNAL OF ELECTRONICS, 1970, 29 (06) : 591 - &
  • [35] Higher-order signal processing with the Dirac operator
    Calmon, Lucille
    Schaub, Michael T.
    Bianconi, Ginestra
    [J]. 2022 56TH ASILOMAR CONFERENCE ON SIGNALS, SYSTEMS, AND COMPUTERS, 2022, : 925 - 929
  • [36] SOME PROPERTIES OF A HIGHER-ORDER COBOUNDARY OPERATOR
    DARROW, DS
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 1995, 70 (02) : 175 - 200
  • [37] Topological invariants for anomalous Floquet higher-order topological insulators
    Biao Huang
    [J]. Frontiers of Physics, 2023, 18
  • [38] Topological nano-switches in higher-order topological insulators
    Poata, Joseph
    Taddei, Fabio
    Governale, Michele
    [J]. NEW JOURNAL OF PHYSICS, 2024, 26 (05):
  • [39] Topological invariants for anomalous Floquet higher-order topological insulators
    Biao Huang
    [J]. Frontiers of Physics, 2023, 18 (01) : 48 - 63
  • [40] Topological invariants for anomalous Floquet higher-order topological insulators
    Huang, Biao
    [J]. FRONTIERS OF PHYSICS, 2023, 18 (01)
12345