Search Results - finite element methods applied to problems in fluid (mechanics OR mechanika)

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

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

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

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

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

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

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

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

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

A monolithic finite element method for phase-field modeling of fully Eulerian fluid–structure interaction: A monolithic finite element method for phase-field modeling of fully Eulerian fluid-structure interaction

Authors: Valizadeh, Navid Zhuang, Xiaoying Rabczuk, Timon

Source: Computer Methods in Applied Mechanics and Engineering. 435:117618

Subject Terms: Cahn-Hilliard phase-field model, Finite element methods applied to problems in solid mechanics, fully Eulerian fluid-structure interaction, finite element method, residual-based variational multiscale method, frictionless contact, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Analysis and computation of a weak Galerkin scheme for solving the 2D/3D stationary Stokes interface problems with high-order elements

Authors: Kumar, Raman Deka, Bhupen

Source: Journal of Numerical Mathematics. 32:347-367

Subject Terms: Error bounds for boundary value problems involving PDEs, Smoothness and regularity of solutions to PDEs, weak Galerkin methods, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Variational methods for elliptic systems, PDEs in connection with fluid mechanics, 01 natural sciences, Stokes and related (Oseen, etc.) flows, discontinuous viscosity, optimal error estimates, Second-order elliptic systems, 0101 mathematics, Stokes interface, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

A Nitsche’s Extended Conforming Virtual Element Method for Stokes Interface Problems: A Nitsche's extended conforming virtual element method for Stokes interface problems

Authors: Huang, Yuxiang Chen, Jinru Wang, Feng

Source: Journal of Scientific Computing. 102

Subject Terms: Nitsche's method, Stokes interface problems, Three or more component flows, Error bounds for boundary value problems involving PDEs, unfitted-interface method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, extended conforming virtual element methods, Stokes and related (Oseen, etc.) flows, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

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

Affine-Invariant WENO Operator on Nonuniform Cartesian Mesh with Application to Finite Volume and Discontinuous Galerkin Methods: Affine-invariant WENO operator on nonuniform Cartesian mesh with application to finite volume and discontinuous Galerkin methods

Authors: Xiang, Xiao-Shuo Wang, Bao-Shan Gao, Zhen et al.

Source: Journal of Scientific Computing. 102

Subject Terms: WENO, Finite volume methods for boundary value problems involving PDEs, Finite volume methods applied to problems in fluid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Euler equations, Numerical quadrature and cubature formulas, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs, affine-invariant, finite volume scheme, Finite volume methods for initial value and initial-boundary value problems involving PDEs, DG method, Hyperbolic conservation laws, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, nonuniform mesh, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

A unified-field monolithic fictitious domain-finite element method for fluid-structure-contact interactions and applications to deterministic lateral displacement problems

Authors: Cheng Wang Pengtao Sun Yumiao Zhang et al.

Source: Journal of Computational Physics. 510:113083

Subject Terms: interface conditions, unified-field monolithic fictitious domain-finite element method (UFMFD-FEM), repulsive contact force/stress, deterministic lateral displacement (DLD), Mathematics - Numerical Analysis, Physics - Fluid Dynamics, fluid-structure-contact interactions (FSCI), Fictitious domain methods for initial value and initial-boundary value problems involving PDEs, 65M22, 65M60, 65M85, 65Z05, 65D17, 70F35, 70F40, 74S05, 74F10, 76M10, 76M30, 76D05, 76D09, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), stabilized mixed finite element, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: http://arxiv.org/abs/2402.12517

Structure Preserving Nodal Continuous Finite Elements via Global Flux Quadrature: Structure preserving nodal continuous finite elements via global flux quadrature

Authors: Wasilij Barsukow Mario Ricchiuto Davide Torlo et al.

Contributors: Wasilij Barsukow Mario Ricchiuto Davide Torlo et al.

Source: Numerical Methods for Partial Differential Equations. 41

Subject Terms: OSS, Hydro- and aero-acoustics, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDE constrained optimization (numerical aspects), Euler equations, Numerical quadrature and cubature formulas, global flux quadrature, Finite difference methods applied to problems in fluid mechanics, stabilization, divergence preserving, finite elements, SUPG, very high-order, Numerical interpolation, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Numerical Analysis, 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; application/pdf

Access URL: http://arxiv.org/abs/2407.10579
https://hal.science/hal-04779510v2/document
https://hal.science/hal-04779510v2

Analysis of a Galerkin-characteristic finite element method for convection-diffusion problems in porous media

Authors: Mofdi El-Amrani Loubna Salhi Mohammed Seaid

Source: Advances in Pure and Applied Mathematics. 12:96-122

Subject Terms: a priori error estimates, Flows in porous media, filtration, seepage, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, 01 natural sciences, 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, porous media, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, Darcy equation, finite elements, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, convection-diffusion problems, Galerkin-characteristic method, Finite element methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://www.openscience.fr/IMG/pdf/iste_apam21v12nspe_6.pdf
https://openscience.fr/Analysis-of-a-Galerkin-characteristic-finite-element-method-for-convection