Finite cell method

Article Properties
Journal Categories
Science
Mathematics
Technology
Engineering (General)
Civil engineering (General)
Technology
Engineering (General)
Civil engineering (General)
Mechanics of engineering
Applied mechanics
Technology
Mechanical engineering and machinery
Refrences
Title Journal Journal Categories Citations Publication Date
A fictitious domain approach with spread interface for elliptic problems with general boundary conditions Computer Methods in Applied Mechanics and Engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
105 2007
Structural optimization using sensitivity analysis and a level-set method Journal of Computational Physics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics
  • Science: Physics
1,727 2004
10.1137/S0363012999357380 SIAM Journal on Control and Optimization
  • Technology: Mechanical engineering and machinery
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
2001
10.1016/S0045-7949(99)00211-4 2000
10.1137/S0363012992231124 1995
Citations
Title Journal Journal Categories Citations Publication Date
Reduced order modeling based inexact FETI‐DP solver for lattice structures

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)
2024
A Review of Interface-Driven Adaptivity for Phase-Field Modeling of Fluid–Structure Interaction Journal of the Indian Institute of Science
  • Science: Science (General)
2024
r-Adaptive deep learning method for solving partial differential equations Computers & Mathematics with Applications
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
1 2024
Complex-geometry simulations of transient thermoelasticity with the Shifted Boundary Method Computer Methods in Applied Mechanics and Engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
2024
A comparison of smooth basis constructions for isogeometric analysis Computer Methods in Applied Mechanics and Engineering
  • Technology: Engineering (General). Civil engineering (General)
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics
  • Technology: Mechanical engineering and machinery
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
1 2024
Citations Analysis
Category Category Repetition
Technology: Engineering (General). Civil engineering (General)262
Science: Mathematics252
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics192
Technology: Mechanical engineering and machinery185
Science: Mathematics: Instruments and machines: Electronic computers. Computer science153
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods49
Science: Chemistry20
Science: Physics19
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials15
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software14
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware14
Technology: Technology (General): Industrial engineering. Management engineering9
Science: Biology (General)7
Technology: Manufactures7
Technology: Chemical technology4
Medicine: Medicine (General): Medical technology4
Technology: Engineering (General). Civil engineering (General): Systems engineering4
Science: Geology3
Science: Physics: Electricity and magnetism: Electricity: Plasma physics. Ionized gases3
Science: Physics: Descriptive and experimental mechanics3
Science: Chemistry: General. Including alchemy2
Technology: Mining engineering. Metallurgy2
Technology: Chemical technology: Biotechnology2
Technology: Engineering (General). Civil engineering (General): Engineering geology. Rock mechanics. Soil mechanics. Underground construction2
Science: Physics: Acoustics. Sound2
Medicine: Medicine (General): Computer applications to medicine. Medical informatics2
Technology: Chemical technology: Polymers and polymer manufacture2
Science: Chemistry: Physical and theoretical chemistry1
Technology1
Technology: Building construction: Architectural engineering. Structural engineering of buildings1
Science: Biology (General): Genetics1
Technology: Engineering (General). Civil engineering (General): Environmental engineering1
Science: Geology: Petrology1
Science: Geology: Mineralogy1
Science: Physics: Heat: Thermodynamics1
Technology: Manufactures: Production management. Operations management1
Science: Science (General)1
The category Technology: Engineering (General). Civil engineering (General) 262 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Finite cell method and was published in 2007. The most recent citation comes from a 2024 study titled A non-boundary-fitted-grid method, based on compact integrated-RBF approximations, for solving differential problems in multiply-connected domains. This article reached its peak citation in 2020, with 44 citations. It has been cited in 83 different journals, 8% of which are open access. Among related journals, the Computer Methods in Applied Mechanics and Engineering cited this research the most, with 102 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year