Differentiation with Respect to the Domain in Boundary Value Problems

Article Properties
Cite
Simon, J. “Differentiation With Respect to the Domain in Boundary Value Problems”. Numerical Functional Analysis and Optimization, vol. 2, no. 7-8, 1980, pp. 649-87, https://doi.org/10.1080/01630563.1980.10120631.
Simon, J. (1980). Differentiation with Respect to the Domain in Boundary Value Problems. Numerical Functional Analysis and Optimization, 2(7-8), 649-687. https://doi.org/10.1080/01630563.1980.10120631
Simon, J. “Differentiation With Respect to the Domain in Boundary Value Problems”. Numerical Functional Analysis and Optimization 2, no. 7-8 (1980): 649-87. https://doi.org/10.1080/01630563.1980.10120631.
Simon J. Differentiation with Respect to the Domain in Boundary Value Problems. Numerical Functional Analysis and Optimization. 1980;2(7-8):649-87.
Journal Categories
Science
Mathematics
Technology
Technology (General)
Industrial engineering
Management engineering
Applied mathematics
Quantitative methods
Refrences
Title Journal Journal Categories Citations Publication Date
10.1007/BF00283779 1967
10.1007/BF01447854 1975
10.1007/BF01447854 1975
10.1007/BF01447854 1952
Lect. Notes in Comp. Sci. 41 1976
Citations
Title Journal Journal Categories Citations Publication Date
Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures

 Applied Mathematics & Optimization
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1 2024
A shape optimization algorithm based on directional derivatives for three‐dimensional contact problems

 International Journal for Numerical Methods in Engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 2023
Numerical Solution to a Free Boundary Problem for the Stokes Equation Using the Coupled Complex Boundary Method in Shape Optimization Setting Applied Mathematics & Optimization
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
An improved numerical approach for solving shape optimization problems on convex domains Numerical Algorithms
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Optimal design of wheel rim in elastic mechanics International Journal of Advances in Engineering Sciences and Applied Mathematics
  • Technology: Engineering (General). Civil engineering (General)
 2023
Citations Analysis
Category Category Repetition
Science: Mathematics164
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods115
Technology: Engineering (General). Civil engineering (General)80
Technology: Mechanical engineering and machinery46
Science: Mathematics: Instruments and machines: Electronic computers. Computer science31
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics26
Science: Physics23
Technology: Manufactures: Production management. Operations management12
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases6
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials3
Science: Chemistry3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics3
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software3
Technology: Chemical technology2
Science: Chemistry: General. Including alchemy2
Technology: Technology (General): Industrial engineering. Management engineering2
Science: Science (General)1
Science: Physics: Acoustics. Sound1
Science: Physics: Optics. Light1
Science: Biology (General)1
Science: Chemistry: Physical and theoretical chemistry1
Technology: Mining engineering. Metallurgy1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Science: Mathematics: Probabilities. Mathematical statistics1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware1
Science: Mathematics: Analysis1
Social Sciences: Industries. Land use. Labor: Industry1
Language and Literature1
The category Science: Mathematics 164 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Variations with Respect to Domain for Neumann Condition and was published in 1987. The most recent citation comes from a 2024 study titled Sharp-Interface Limit of a Multi-phase Spectral Shape Optimization Problem for Elastic Structures. This article reached its peak citation in 2016, with 12 citations. It has been cited in 95 different journals, 10% of which are open access. Among related journals, the SIAM Journal on Control and Optimization cited this research the most, with 13 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year