Search Results - Complex-variable finite element method

Sensitivity analysis for problems exhibiting geometric nonlinearities and follower loads using the complex-variable finite element method

Authors: Hameed S. Lamy David Avila Mauricio Aristizabal et al.

Source: Finite Elements in Analysis and Design. 251:104419

Transient thermomechanical sensitivity analysis using a complex-variable finite element method

Authors: G. Aaron Rios Juan Sebastián Rincón Tabares Arturo Montoya et al.

Source: Journal of Thermal Stresses. 45:341-374

Subject Terms: 0203 mechanical engineering, 02 engineering and technology

The Complex Variable Dimension Coupling Method for 3D Inhomogeneous Transient Heat Conduction Problems.

Authors: He, Wenna Cheng, Heng

Source: International Journal for Numerical Methods in Engineering; 10/15/2025, Vol. 126 Issue 19, p1-31, 31p

Subject Terms: HEAT conduction, FINITE element method, ITERATIVE methods (Mathematics), NUMERICAL analysis, NUMERICAL solutions to equations, FINITE difference method

Coupling of Complex Function Theory and Finite Element Method for Crack Propagation Through Energetic Formulation: Conformal Mapping Approach and Reduction to a Riemann–Hilbert Problem

Authors: Legatiuk, Dmitrii Weisz-Patrault, Daniel Bauhaus-Universität Weimar et al.

Contributors: Legatiuk, Dmitrii Weisz-Patrault, Daniel Bauhaus-Universität Weimar et al.

Source: Computational Methods and Function Theory. 22:535-557

Subject Terms: ddc:620, FOS: Computer and information sciences, 30B40, 30C20, 30E10, 35Q15, 35Q74, 74H10, 74R10, Finite-Elemente-Methode, Modellierung, crack propagation, Rissausbreitung, 01 natural sciences, Computational Engineering, Finance, and Science (cs.CE), [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph], FOS: Mathematics, Mathematics - Numerical Analysis, coupling, Complex Variables (math.CV), 0101 mathematics, Computer Science - Computational Engineering, Finance, and Science, Mathematics - Complex Variables, Bruchmechanik, Numerical Analysis (math.NA), energetic approach, Angewandte Mathematik, bk:50.31, fracture mechanics, [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

File Description: application/pdf

Access URL: https://link.springer.com/content/pdf/10.1007/s40315-021-00403-7.pdf
http://arxiv.org/abs/2104.08260
https://arxiv.org/abs/2104.08260
http://arxiv.org/pdf/2104.08260.pdf
https://link.springer.com/article/10.1007/s40315-021-00403-7
https://hal.archives-ouvertes.fr/hal-03319695v1
https://hal.archives-ouvertes.fr/hal-03319695/document
https://dblp.uni-trier.de/db/journals/corr/corr2104.html#abs-2104-08260
https://arxiv.org/abs/2104.08260
https://link.springer.com/content/pdf/10.1007/s40315-021-00403-7.pdf

An analytical solution to account for the earthquake body force for twin circular tunnels in elastic media using complex variable approach.

Authors: Jain, Hemant Kumar, Jyant

Source: Acta Geotechnica. Dec2024, Vol. 19 Issue 12, p8023-8049. 27p.

Subject Terms: *DISTRIBUTION (Probability theory), *FINITE element method, *COMPLEX variables, *EARTHQUAKES, *GAUSSIAN distribution, *EARTHQUAKE magnitude

Stiffness gradient sensitivity analysis method for evaluating the vibration reduction effect of complex variable-stiffness systems.

Authors: Cao, Xingchi Fanq, Xin Yu, Dianlong

Source: Applied Mathematics & Mechanics; Nov2025, Vol. 46 Issue 11, p2055-2074, 20p

Subject Terms: STIFFNESS (Engineering), SENSITIVITY analysis, SINGLE-degree-of-freedom systems, FREQUENCY-domain analysis, FINITE element method, DYNAMIC stiffness, VIBRATION isolation

A virtual crack extension method for thermoelastic fracture using a complex-variable finite element method

Authors: Daniel Ramirez Tamayo Arturo Montoya Harry Millwater

Source: Engineering Fracture Mechanics. 192:328-342

Subject Terms: 0203 mechanical engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Access URL: https://www.sciencedirect.com/science/article/pii/S0013794417309049

A complex-variable virtual crack extension finite element method for elastic-plastic fracture mechanics

Authors: Daniel Ramirez-Tamayo Matthew Kirby Arturo Montoya et al.

Source: Engineering Fracture Mechanics. 202:242-258

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: https://www.sciencedirect.com/science/article/pii/S0013794418306775

Sensitivity Analysis for Transient Thermal Problems Using the Complex-Variable Finite Element Method

Authors: Juan-Sebastian Rincon-Tabares Juan C. Velasquez-Gonzalez Daniel Ramirez-Tamayo et al.

Source: Applied Sciences, Vol 12, Iss 5, p 2738 (2022)

Subject Terms: finite differences, finite elements, transient conduction, complex-variable differentiation, sensitivity analysis, heat conduction, Technology, Engineering (General). Civil engineering (General), TA1-2040, Biology (General), QH301-705.5, Physics, QC1-999, Chemistry, QD1-999

File Description: electronic resource

Relation: https://www.mdpi.com/2076-3417/12/5/2738; https://doaj.org/toc/2076-3417

Access URL: https://doaj.org/article/733a614a584e4327a65aa8d6ceb9d922

First- and second-order sensitivity analysis of finite element models using extended complex variables method.

Authors: Sheikhi Azqandi, Mojtaba Hassanzadeh, Mahdi

Source: Archive of Applied Mechanics. Oct2021, Vol. 91 Issue 10, p4263-4277. 15p.

Subject Terms: *COMPLEX variables, *SENSITIVITY analysis, *FINITE element method

Complex-Variable Finite-Element Method for Mixed Mode Fracture and Interface Cracks

Authors: Daniel Ramirez Tamayo Arturo Montoya Harry Millwater

Source: AIAA Journal. 56:4632-4637

Subject Terms: 0203 mechanical engineering, 02 engineering and technology, 0210 nano-technology

Access URL: https://arc.aiaa.org/doi/abs/10.2514/1.J057231
https://ui.adsabs.harvard.edu/abs/2018AIAAJ..56.4632R/abstract

Residual stress sensitivity analysis using a complex variable finite element method

Authors: Harry Millwater Patrick J. Golden Arturo Montoya et al.

Source: International Journal of Mechanical Sciences. 133:112-120

Subject Terms: 0203 mechanical engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Access URL: https://www.sciencedirect.com/science/article/pii/S0020740316307391

Efficient estimate of residual stress variance using complex variable finite element methods.

Authors: Fielder, Randal Millwater, Harry Montoya, Arturo et al.

Source: International Journal of Pressure Vessels & Piping. Jun2019, Vol. 173, p101-113. 13p.

Subject Terms: *RESIDUAL stresses, *FINITE element method, *COMPLEX variables, *MONTE Carlo method, *RANDOM variables, *VARIANCES, *SPHERES

A virtual crack extension method to compute energy release rates using a complex variable finite element method

Authors: A. Baines Arturo Montoya Harry Millwater et al.

Source: Engineering Fracture Mechanics. 162:95-111

Subject Terms: 0203 mechanical engineering, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Access URL: http://manuscript.elsevier.com/S0013794416301540/pdf/S0013794416301540.pdf
https://www.sciencedirect.com/science/article/pii/S0013794416301540
https://www.infona.pl/resource/bwmeta1.element.elsevier-c2171dbd-02c5-3741-b0b8-638b09f7e3d6

Nonlinear coupled multi-physics field analysis of permanent magnet synchronous motor combining finite element analysis with optimized meshless method.

Authors: Li, Size Xu, Wei

Source: Numerical Heat Transfer: Part A -- Applications; 2025, Vol. 86 Issue 21, p7449-7491, 43p

Subject Terms: FINITE element method, HEAT transfer, MESHFREE methods, BOUNDARY value problems, PERMANENT magnet motors, ENERGY dissipation, NONLINEAR analysis

Sensitivity and Uncertainty Quantification Analysis in Metamaterials through Complex-Variable Finite Element Method

Authors: David Restrepo

A surface mesh DG-VEM for elliptic membrane shell model.

Authors: Yang, Qian Shen, Xiaoqin Zhao, Jikun et al.

Source: Applied Numerical Mathematics. Nov2025, Vol. 217, p298-318. 21p.

Subject Terms: *DISCRETIZATION methods, *FINITE element method, *INTEGRALS, *GALERKIN methods, *APPROXIMATION error, *MESHFREE methods

Deformation and stress theory of surrounding rock of shallow circular tunnel based on complex variable function method

Authors: Wang, Guizhen Zhou, Linglong Alotaibi, Reem et al.

Source: Applied Mathematics and Nonlinear Sciences. 7:629-640

Subject Terms: shallow-buried circular tunnel surrounding rock, stress finite element analysis, deformation analysis, 0103 physical sciences, Physical Sciences and Mathematics, Business, 02 engineering and technology, complex variable function, 0210 nano-technology, 01 natural sciences

File Description: application/pdf

Access URL: https://www.sciendo.com/pdf/10.2478/amns.2021.1.00050

Applications of the Fractal-Like Finite Element Method to Sharp Notched Plates

Authors: Treifi, Muhammad Tsang, Kwong-Lai Oyadiji, S Olutunde

Source: Treifi, M, Tsang, K-L & Oyadiji, S O 2008, Applications of the fractal-like finite element method to sharp notched plates. in 2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007. vol. 4, pp. 399-405, ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, presented at-2007 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2007, Las Vegas, NV, United States, 4/09/07. https://doi.org/10.1115/DETC2007-35563

Subject Terms: Finite element method, Eigenfunction expansion, 0203 mechanical engineering, 11. Sustainability, Fracture mechanics, Global interpolation functions, Isotropic elasticity, Stress intensity factors, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Complex variable methods

Access URL: https://research.manchester.ac.uk/en/publications/07ccaa1d-aaff-428d-b51d-21101766a5c5
https://doi.org/10.1115/DETC2007-35563
http://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1604496
https://asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2007/48051/399/329625
https://proceedings.asmedigitalcollection.asme.org/proceeding.aspx?articleid=1604496
https://www.research.manchester.ac.uk/portal/en/publications/applications-of-the-fractallike-finite-element-method-to-sharp-notched-plates(07ccaa1d-aaff-428d-b51d-21101766a5c5).html
https://vibrationacoustics.asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2007/48051/399/329625
https://risk.asmedigitalcollection.asme.org/IDETC-CIE/proceedings/IDETC-CIE2007/48051/399/329625
http://www.scopus.com/inward/record.url?scp=44849096057&partnerID=8YFLogxK
https://research.manchester.ac.uk/en/publications/07ccaa1d-aaff-428d-b51d-21101766a5c5
https://doi.org/10.1115/DETC2007-35563

The coupling of complex variable-reproducing kernel particle method and finite element method for two-dimensional potential problems

Authors: Yumin Cheng Li Chen K.M. Liew

Source: Interaction and multiscale mechanics. 3:277-298

Subject Terms: 0101 mathematics, 01 natural sciences

Access URL: https://www.techno-press.org/content/?page=article&journal=imm&volume=3&num=3&ordernum=5
http://www.techno-press.org/download.php?journal=imm&volume=3&num=3&ordernum=5
http://www.techno-press.org/content/?page=article&journal=imm&volume=3&num=3&ordernum=5
http://koreascience.or.kr/journal/view.jsp?kj=TPTPG9&py=2010&vnc=v3n3&sp=277