Search Results - finite element methods applied to problems in applied mechanics*

Efficient Fully Discrete Finite Element Scheme for the Ferrohydrodynamic Rosensweig Model and Simulations of Ferrofluid Rotational Flow Problems: Efficient fully discrete finite element scheme for the ferrohydrodynamic Rosensweig model and simulations of ferrofluid rotational flow problems

Authors: Guo-Dong Zhang Xiaoming He Xiaofeng Yang

Source: SIAM Journal on Scientific Computing. 47:B28-B58

Subject Terms: unconditional energy stability, decoupled, second-order, magnetic field, General theory of rotating fluids, PDEs in connection with fluid mechanics, Finite difference methods applied to problems in fluid mechanics, Suspensions, finite element, Magnetohydrodynamics and electrohydrodynamics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics, ferrohydrodynamics

File Description: application/xml

Semi-implicit Hybrid Finite Volume/Finite Element Method for the GPR Model of Continuum Mechanics: Semi-implicit hybrid finite volume/finite element method for the GPR model of continuum mechanics

Authors: Saray Busto Laura Río-Martín Universidade de Santiago de Compostela. Departamento de Matemática Aplicada

Contributors: Saray Busto Laura Río-Martín Universidade de Santiago de Compostela. Departamento de Matemática Aplicada

Source: Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Universidad de Santiago de Compostela (USC)

Subject Terms: Finite element methods, Continuum mechanics, numerical convergence analysis, smooth acoustic wave, fluid/solid circular explosion, spherical explosion, Gas dynamics (general theory), Finite volume methods applied to problems in fluid mechanics, structure-preserving scheme, Numerical Analysis (math.NA), Riemann problem, Finite volume methods, GPR model, FOS: Mathematics, Mathematics - Numerical Analysis, Semi-implicit structure-preserving scheme, Finite element methods applied to problems in fluid mechanics

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/abs/2407.00823
https://hdl.handle.net/10347/40972
https://zbmath.org/7975322
https://doi.org/10.1007/s10915-024-02770-4
https://link.springer.com/article/10.1007/s10915-024-02770-4
https://hdl.handle.net/11572/444390
https://doi.org/10.1007/s10915-024-02770-4

On time integrators for Generalized Multiscale Finite Element Methods applied to advection–diffusion in high-contrast multiscale media: On time integrators for generalized multiscale finite element methods applied to advection-diffusion in high-contrast multiscale media

Authors: Wei Xie Juan Galvis Yin Yang et al.

Source: Journal of Computational and Applied Mathematics. 460:116363

Subject Terms: advection-diffusion, Flows in porous media, filtration, seepage, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, exponential time integration, PDEs in connection with fluid mechanics, Finite difference methods applied to problems in fluid mechanics, Finite element methods applied to problems in fluid mechanics, multiscale approximation

File Description: application/xml

Access URL: https://zbmath.org/7968700
https://doi.org/10.1016/j.cam.2024.116363

A review of temporal and spatial dispersions of linear and quadratic finite elements in linear elastic wave propagation problems

Authors: Kolman, R. (Radek) Okrouhlík, M. (Miloslav) Kruisová, A. (Alena)

Source: Proceedings of the Estonian Academy of Sciences, Vol 73, Iss 3, Pp 279-316 (2024)

Subject Terms: Finite element methods applied to problems in solid mechanics, Linear elasticity with initial stresses, Science, elastic wave propagation, finite element method, direct time integration, spurious oscillations, Finite difference methods applied to problems in solid mechanics, Error bounds for initial value and initial-boundary value problems involving PDEs, Vibrations in dynamical problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Strings, dispersion, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Linear waves in solid mechanics, PDEs in connection with mechanics of deformable solids, Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids

File Description: application/xml

Access URL: https://hdl.handle.net/11104/0358061

A Delaunay refinement algorithm for the particle finite element method applied to free surface flows

Authors: Thomas Leyssens Michel Henry Jonathan Lambrechts et al.

Contributors: Thomas Leyssens Michel Henry Jonathan Lambrechts et al.

Source: International Journal for Numerical Methods in Engineering, (2024)

Subject Terms: FOS: Computer and information sciences, Navier-Stokes equations for incompressible viscous fluids, falling drop, rising bubble, 01 natural sciences, Navier-Stokes equation, Computational Engineering, Finance, and Science (cs.CE), mesh generation, particle methods, dam breaking, 0103 physical sciences, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, Particle methods and lattice-gas methods, finite element methods, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Computer Science - Computational Engineering, Finance, and Science, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: http://arxiv.org/abs/2403.18416
https://zbmath.org/7954080
https://doi.org/10.1002/nme.7554
https://hdl.handle.net/2078.1/289631

The moving finite element method with streamline-upwind Petrov–Galerkin for magnetohydrodynamic flows problems at high Hartmann numbers: The moving finite element method with streamline-upwind Petrov-Galerkin for magnetohydrodynamic flows problems at high Hartmann numbers

Authors: Xiaohua Zhang Xinmeng Xu

Source: Engineering Analysis with Boundary Elements. 157:400-412

Subject Terms: high Hartmann numbers, streamline-upwind Petrov-Galerkin, Magnetohydrodynamics and electrohydrodynamics, moving mesh method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, magnetohydrodynamic flows, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Newton’s Method and its Hybrid with Machine Learning for Navier-Stokes Darcy Models Discretized by Mixed Element Methods: Newton's method and its hybrid with machine learning for Navier-Stokes Darcy models discretized by mixed element methods

Authors: Huang, Jianguo Peng, Hui Wu, Haohao

Source: Communications in Computational Physics. 37:30-60

Subject Terms: Error bounds for boundary value problems involving PDEs, Flows in porous media, filtration, seepage, FOS: Mathematics, deep learning, Navier Stokes-Darcy model, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, Int-Deep method, Finite element methods applied to problems in fluid mechanics, Newton iterative method, convergence analysis

File Description: application/xml

Access URL: http://arxiv.org/abs/2401.10557
https://zbmath.org/8013531
https://doi.org/10.4208/cicp.oa-2024-0066

Conservative mixed Discontinuous Galerkin finite element method with full decoupling strategy for incompressible MHD problems: Conservative mixed discontinuous Galerkin finite element method with full decoupling strategy for incompressible MHD problems

Authors: Huayi Huang Yunqing Huang Qili Tang et al.

Source: Communications in Nonlinear Science and Numerical Simulation. 147:108842

Subject Terms: MHD equations, Nédélec element, Finite difference methods for initial value and initial-boundary value problems involving PDEs, interior penalty DG method, Magnetohydrodynamics and electrohydrodynamics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Shear flows and turbulence, Brezzi-Douglas-marini element, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Error Estimates of Finite Element Method for the Incompressible Ferrohydrodynamics Equations: Error estimates of finite element method for the incompressible ferrohydrodynamics equations

Authors: Shipeng Mao Jiaao Sun

Source: Communications on Applied Mathematics and Computation. 7:485-535

Subject Terms: Euler semi-implicit scheme, unconditional convergence, Error bounds for initial value and initial-boundary value problems involving PDEs, Maxwell equations, shliomis model, error estimates, mixed finite element methods, ferrofluids, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/8034288
https://doi.org/10.1007/s42967-023-00347-w

A priori error estimates for a semi‐Lagrangian unified finite element method for coupled Darcy‐transport problems: A priori error estimates for a semi-Lagrangian unified finite element method for coupled Darcy-transport problems

Authors: Loubna Salhi Mofdi El‐Amrani Mohammed Seaid

Source: Numerical Methods for Partial Differential Equations. 39:3441-3472

Subject Terms: a priori error estimates, Flows in porous media, filtration, seepage, semi-Lagrangian method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, convection-diffusion equations, PDEs in connection with fluid mechanics, unified finite elements, Finite difference methods applied to problems in fluid mechanics, Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, Error bounds for initial value and initial-boundary value problems involving PDEs, Transport equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, coupled Darcy-transport problems, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Assessment of the edge-based smoothed finite element method for dynamic analysis of the multi-phase magneto-electro-elastic structures

Authors: Jiang, Zhilong Gui, Qiang Li, Wei et al.

Source: Engineering Analysis with Boundary Elements. 163:94-107

Subject Terms: multi-physics field, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Finite element methods applied to problems in solid mechanics, magneto-electro-elastic materials, edge-based smoothed finite element method, Electromagnetic effects in solid mechanics, smart materials, Stochastic and other probabilistic methods applied to problems in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, dynamic analysis

File Description: application/xml

A novel node-to-segment algorithm in smoothed finite element method for contact problems

Authors: Chao Sun G. R. Liu S. H. Huo et al.

Source: Computational Mechanics. 72:1029-1057

Subject Terms: strain smoothing technique, contact patch test, Finite element methods applied to problems in solid mechanics, penalty method, node-to-segment, Contact in solid mechanics, smoothed finite element method

File Description: application/xml

A Locking-Free and Reduction-Free Conforming Finite Element Method for the Reissner-Mindlin Plate on Rectangular Meshes: A locking-free and reduction-free conforming finite element method for the Reissner-Mindlin plate on rectangular meshes

Authors: Zhang, Shangyou Zhang, Zhimin

Source: Communications on Applied Mathematics and Computation. 7:470-484

Subject Terms: Reissner-Mindlin equation, Error bounds for boundary value problems involving PDEs, finite element, rectangular mesh, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, locking-free, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Grad-Div Stabilized Finite Element Method for Magnetohydrodynamic Flows at Low Magnetic Reynolds Numbers: Grad-div stabilized finite element method for magnetohydrodynamic flows at low magnetic Reynolds numbers

Authors: Rong, Yao Shi, Feng Li, Yi et al.

Source: Journal of Mathematical Fluid Mechanics. 27

Subject Terms: backward Euler method, convergence, linear grad-div stabilization, well-posedness, Magnetohydrodynamics and electrohydrodynamics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/8013100
https://doi.org/10.1007/s00021-025-00920-8

N-sided polygonal cell-based smoothed finite element method (nCS-FEM) based on Wachspress shape function for modal analysis: \(N\)-sided polygonal cell-based smoothed finite element method (\(n\)CS-FEM) based on Wachspress shape function for modal analysis

Authors: Jingui Zhao Guirong Liu Shuhao Huo et al.

Source: Engineering Analysis with Boundary Elements. 159:434-451

Subject Terms: modal superposition technique, Finite element methods applied to problems in solid mechanics, Wachspress shape function, CS-FEM, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Lanczos algorithm, polygonal elements, smoothed finite element method

File Description: application/xml

Access URL: https://zbmath.org/7855283
https://doi.org/10.1016/j.enganabound.2023.12.013

A symplectic finite element method based on Galerkin discretization for solving linear systems

Authors: Qiu, Zhiping Wang, Zhao Zhu, Bo

Source: Applied Mathematics and Mechanics. 44:1305-1316

Subject Terms: Finite difference methods applied to problems in solid mechanics, composite plate, Finite element methods applied to problems in solid mechanics, Vibrations in dynamical problems in solid mechanics, Classical linear elasticity, symplectic finite difference Runge-Kutta scheme, Bernoulli-Euler beam, Hamiltonian system, Birkhoffian system, Rods (beams, columns, shafts, arches, rings, etc.), vibration response, Plates, Galerkin finite element method

File Description: application/xml

Convergence Analysis of a Nonconforming Virtual Element Method for Compressible Miscible Displacement Problems in Porous Media: Convergence analysis of a nonconforming virtual element method for compressible miscible displacement problems in porous media

Authors: Sarvesh Kumar Devika Shylaja

Source: Numerical Methods for Partial Differential Equations. 41

Subject Terms: virtual element methods, Flows in porous media, filtration, seepage, Smoothness and regularity of solutions to PDEs, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, PDEs in connection with fluid mechanics, A priori estimates in context of PDEs, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, convergence analysis, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, compressible miscible displacement, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, miscible fluid flow, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: http://arxiv.org/abs/2405.06352

Analysis of a time filtered finite element method for the unsteady inductionless MHD equations

Authors: Zhang, Xiaodi Xie, Jialin Li, Xianzhu

Source: Advances in Computational Mathematics. 50

Subject Terms: inductionless MHD equations, Error bounds for initial value and initial-boundary value problems involving PDEs, time filter, error estimates, finite element method, divergence-free, Magnetohydrodynamics and electrohydrodynamics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods applied to problems in fluid mechanics, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/7964514
https://doi.org/10.1007/s10444-024-10215-7

The mixed penalty method for the Signorini problem

Authors: Hu, Jingyan Wang, Qi Zhou, Guanyu

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 58:1823-1851

Subject Terms: Signorini condition, Finite element methods applied to problems in solid mechanics, Error bounds for boundary value problems involving PDEs, well-posedness, error estimate, Contact in solid mechanics, mixed finite element method

File Description: application/xml

A mixed hexahedral solid‐shell finite element with self‐equilibrated isostatic assumed stresses for geometrically nonlinear problems: A mixed hexahedral solid-shell finite element with self-equilibrated isostatic assumed stresses for geometrically nonlinear problems

Authors: Liguori, Francesco S. Zucco, Giovanni Madeo, Antonio et al.

Contributors: Liguori, Francesco S. Zucco, Giovanni Madeo, Antonio et al.

Source: International Journal for Numerical Methods in Engineering. 125

Subject Terms: assumed stresses, Engineering, geometrical nonlinearity, Finite element methods applied to problems in solid mechanics, finite element, mixed interpolation, solid-shell, Shells

File Description: application/xml; application/pdf