Výsledky vyhledávání - Finite difference methods applied to problems in solid mechanics

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

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

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

Témata: 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

Popis souboru: application/xml

Přístupová URL adresa: https://hdl.handle.net/11104/0358061

Stable and high-order accurate finite difference methods for the diffusive viscous wave equation

Autoři: Siyang Wang

Zdroj: Journal of Computational and Applied Mathematics. 463:116476

Témata: Error estimate, acoustic wave, Beräkningsmatematik, Bulk waves in solid mechanics, seismic wave, error estimate, Numerical Analysis (math.NA), Finite difference methods applied to problems in solid mechanics, Computational Mathematics, numerical stability, Finite difference methods, Finite difference methods for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Summation by parts, summation-by-parts method, Mathematics - Numerical Analysis, discrete energy estimate, The diffusive viscous wave equation, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Stability, 65M06, 65M12

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2501.05771
https://zbmath.org/8008549
https://doi.org/10.1016/j.cam.2024.116476
http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-234147

A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model: A two-level Crank-Nicolson difference scheme and its Richardson extrapolation methods for a magneto-thermo-elasticity model

Autoři: Deng, Dingwen Zhang, Ruyu

Zdroj: Advances in Applied Mathematics and Mechanics. 16:608-635

Témata: Finite difference methods for boundary value problems involving PDEs, energy conservation, Iterative numerical methods for linear systems, Extrapolation to the limit, deferred corrections, convergence, Richardson extrapolation methods, priori estimation, Symbolic computation and algebraic computation, Finite difference methods applied to problems in solid mechanics, Thermal effects in solid mechanics, Electromagnetic effects in solid mechanics, Classical linear elasticity, Finite difference 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 method, solvability

Popis souboru: application/xml

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

Autoři: Qiu, Zhiping Wang, Zhao Zhu, Bo

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

Témata: 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

Popis souboru: application/xml

A meshless generalized finite difference method for 2D elasticity problems

Autoři: Mas Irfan P. Hidayat Rindang Fajarin Widyastuti

Zdroj: Engineering Analysis with Boundary Elements. 117:89-103

Témata: Finite difference methods applied to problems in solid mechanics, B-spline shape function, 2D elasticity problems, generalized FD, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, triangle cells, 0101 mathematics, 01 natural sciences, meshless

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7228776
https://doi.org/10.1016/j.enganabound.2020.03.019
https://www.sciencedirect.com/science/article/pii/S0955799720300849

A Hybrid Collocation Method for Long‐Time Simulation of Heat Conduction in Anisotropic Functionally Graded Materials: A hybrid collocation method for long-time simulation of heat conduction in anisotropic functionally graded materials

Autoři: Lin Qiu Fajie Wang Wenzhen Qu a další

Zdroj: International Journal for Numerical Methods in Engineering. 126

Témata: Iterative numerical methods for linear systems, anisotropic heat conduction, Numerical radial basis function approximation, Numerical computation of solutions to systems of equations, Diffusive and convective heat and mass transfer, heat flow, radial basis function collocation method, Finite difference methods applied to problems in solid mechanics, Computational methods for sparse matrices, Thermal effects in solid mechanics, Krylov deferred correction technique, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Spectral, collocation and related methods for boundary value problems involving PDEs, long-time simulation, PDEs in connection with mechanics of deformable solids, functionally graded materials, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7991422
https://doi.org/10.1002/nme.70002

A combined mixed finite element method and discontinuous Galerkin method for hybrid-dimensional fracture models of two-phase flow

Autoři: Chen, Shuangshuang

Zdroj: Journal of Computational and Applied Mathematics. 459:116373

Témata: Finite element methods applied to problems in solid mechanics, Flows in porous media, filtration, seepage, discontinuous Galerkin method, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, intersecting fractures, PDEs in connection with fluid mechanics, mixed finite element method, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Finite difference methods applied to problems in fluid mechanics, Finite difference methods applied to problems in solid mechanics, two-phase flow, Error bounds for initial value and initial-boundary value problems involving PDEs, Brittle fracture, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Soil and rock mechanics, Liquid-liquid two component flows, hybrid-dimensional fracture model, 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, PDEs in connection with mechanics of deformable solids, Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml

A comparison of two nonconforming finite element methods for linear three-field poroelasticity

Autoři: Guo, Jun Shi, Yanchao Luo, Weihua

Zdroj: Demonstratio Mathematica, Vol 57, Iss 1, Pp 155-164 (2024)

Témata: 65n30, Finite element methods applied to problems in solid mechanics, Flows in porous media, filtration, seepage, poroelasticity locking, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, PDEs in connection with fluid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), locking-free, Finite difference methods applied to problems in solid mechanics, Sonstiges, Classical linear elasticity, nonconforming finite element method, Mathematik, Finite difference methods for initial value and initial-boundary value problems involving PDEs, QA1-939, biot's consolidation model, Biot's consolidation model, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, 74s05, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids, Geophysical solid mechanics, Mathematics

Popis souboru: application/xml; image/jpeg; application/pdf

Přístupová URL adresa: https://zbmath.org/7976255
https://doi.org/10.1515/dema-2024-0073
https://doaj.org/article/1c58e4f2a1b2441a9bb3f1404b8392d6

Differential quadrature finite difference method for structural mechanics problems: Differential quadrature finite difference method for structural mechanics problems.

Autoři: Chang-New Chen

Zdroj: Communications in Numerical Methods in Engineering. 17:423-441

Témata: Finite difference methods applied to problems in solid mechanics, transition conditions, 02 engineering and technology, anisotropic plate, 0101 mathematics, Plates, Other numerical methods in solid mechanics, 01 natural sciences, weighting coefficients, 0201 civil engineering

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1655755
https://doi.org/10.1002/cnm.418
http://onlinelibrary.wiley.com/doi/10.1002/cnm.418/abstract
https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.418

Modeling and experiments on the vibro-acoustic analysis of ring stiffened cylindrical shells with internal bulkheads: A comparative study: Modeling and experiments on the vibro-acoustic analysis of ring stiffened cylindrical shells with internal bulkheads: a comparative study

Autoři: Cong Gao Jiawei Xu Fuzhen Pang a další

Zdroj: Engineering Analysis with Boundary Elements. 162:239-257

Témata: Finite difference methods applied to problems in solid mechanics, Boundary element methods for initial value and initial-boundary value problems involving PDEs, Vibrations in dynamical problems in solid mechanics, experiment, Finite difference methods for initial value and initial-boundary value problems involving PDEs, impact loading, narrow band random loading, ring stiffened cylindrical shell, Boundary element methods applied to problems in solid mechanics, vibro-acoustic response, boundary element method

Popis souboru: application/xml

Two-grid reduced-order method based on POD for a nonlinear poroelasticity model

Autoři: Li, Hongpeng Rui, Hongxing Gao, Mengqi

Zdroj: Journal of Computational and Applied Mathematics. 460:116413

Témata: reduced-order finite element method, Linear elasticity with initial stresses, Finite element methods applied to problems in solid mechanics, nonlinear poroelasticity, 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, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Finite difference methods applied to problems in fluid mechanics, Finite difference methods applied to problems in solid mechanics, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Soil and rock mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, two-grid method, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, PDEs in connection with mechanics of deformable solids, Finite element methods applied to problems in fluid mechanics

Popis souboru: application/xml

A Generalized Single‐Step Multi‐Stage Time Integration Formulation and Novel Designs With Improved Stability and Accuracy: A generalized single-step multi-stage time integration formulation and novel designs with improved stability and accuracy

Autoři: Yazhou Wang Nikolaus A. Adams Kumar K. Tamma

Zdroj: International Journal for Numerical Methods in Engineering. 126

Témata: Finite difference methods applied to problems in solid mechanics, RESEARCH ARTICLE, consistency analysis, local truncation error, multi-stage time integration algorithms, order reduction, structural dynamics, Numerical methods for initial value problems involving ordinary differential equations, ddc

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: https://mediatum.ub.tum.de/1780394

A reduced-dimension method for unknown Crank-Nicolson finite element solution coefficient vectors of elastic wave equation with singular source term

Autoři: Luru Jing Mingfu Feng Yuejie Li a další

Zdroj: Journal of Mathematical Analysis and Applications. 540:128629

Témata: convergence, Linear elasticity with initial stresses, Finite element methods applied to problems in solid mechanics, existence, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, stability, elastic wave equation, Crank-Nicolson finite element method, Finite difference methods applied to problems in solid mechanics, Error bounds for initial value and initial-boundary value problems involving PDEs, proper orthogonal decomposition, reduced-dimension extrapolated Crank-Nicolson finite element method, 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, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids

Popis souboru: application/xml

Implicit Relaxed All Mach Number Schemes for Gases and Compressible Materials: Implicit relaxed all Mach number schemes for gases and compressible materials

Autoři: Thomann, Andrea Iollo, Angelo Puppo, Gabriella

Přispěvatelé: Thomann, Andrea Iollo, Angelo Puppo, Gabriella

Zdroj: SIAM Journal on Scientific Computing. 45:A2632-A2656

Témata: Nonlinear elasticity, FOS: Physical sciences, Gas dynamics (general theory), [MATH] Mathematics [math], 01 natural sciences, Finite difference methods applied to problems in fluid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), All-speed scheme, [PHYS] Physics [physics], Eulerian elasticity, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Finite volume methods for initial value and initial-boundary value problems involving PDEs, Finite volume methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0103 physical sciences, FOS: Mathematics, Mathematics - Numerical Analysis, 0101 mathematics, relaxation method, Finite volume methods for boundary value problems involving PDEs, Fluid Dynamics (physics.flu-dyn), Finite volume methods applied to problems in fluid mechanics, Physics - Fluid Dynamics, Numerical Analysis (math.NA), all-speed scheme, Euler equations, linearly implicit higher order methods, Finite difference methods applied to problems in solid mechanics, low Mach number limit, Numerical methods for stiff equations, Hyperbolic conservation laws, linearly implicit higher order schemes

Popis souboru: application/xml; application/pdf

Přístupová URL adresa: http://arxiv.org/abs/2112.14126
https://zbmath.org/7749381
https://doi.org/10.1137/21m146819x
https://hal.science/hal-04375656v2
https://hal.science/hal-04375656v2/document
https://doi.org/10.1137/21m146819x
https://hdl.handle.net/11573/1706229
https://doi.org/10.1137/21M146819X

ANALYSIS OF THE DYNAMIC BEHAVIOR, BUCKLING, AND AEROELASTICITY OF A THIN COMPOSITE PLATE WITH THE EFFECT OF GENERAL AND LOCAL GEOMETRIC DEFECTS: Analysis of the dynamic behavior, buckling, and aeroelasticity of a thin composite plate with the effect of general and local geometric defects

Autoři: Moosazadeh, H. Mohammadi, M. M.

Zdroj: Journal of Applied Mechanics and Technical Physics. 65:134-151

Témata: Finite difference methods applied to problems in solid mechanics, post-buckling, Runge-Kutta scheme, Thermal effects in solid mechanics, piston theory, flutter, thermal gradient, Composite and mixture properties, Galerkin weighted residual theory, Plates, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Stability of dynamical problems in solid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7968832
https://doi.org/10.1134/s0021894424010152

The high-order smooth interpolated reproducing kernel particle method for elastodynamics problems

Autoři: Jinpeng Gu Yixiao Qin Zhonghua Li

Zdroj: Boundary Value Problems, Vol 2022, Iss 1, Pp 1-17 (2022)

Témata: QA299.6-433, Elastic materials, Finite element methods applied to problems in solid mechanics, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Meshless method, 01 natural sciences, elastodynamics, Finite difference methods applied to problems in solid mechanics, Interpolated reproducing kernel particle method, 0203 mechanical engineering, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Elastodynamics, interpolated reproducing kernel particle method, High-order smooth algorithm, meshless method, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, high-order smooth algorithm, 0101 mathematics, PDEs in connection with mechanics of deformable solids, Analysis

Popis souboru: application/xml

Přístupová URL adresa: https://doaj.org/article/68b557f42d994e83b52106083286bbc7

Mathematical Model for the Numerical Solution of Nonstationary Problems in Solid Mechanics by a Modified Godunov Method: Mathematical model for the numerical solution of nonstationary problems in solid mechanics by a modified Godunov method

Autoři: O. A. Makotra V. L. Kolmogorov N. Ya. Moiseev

Zdroj: Journal of Applied Mechanics and Technical Physics. 45:54-59

Témata: Finite difference methods applied to problems in solid mechanics, numerical solution, dynamics, destruction, 0101 mathematics, 01 natural sciences, elastoplastic strain, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2047505
http://ui.adsabs.harvard.edu/abs/2004JAMTP..45...54K/abstract
https://link.springer.com/content/pdf/10.1023/B:JAMT.0000009174.66897.dc.pdf
https://link.springer.com/article/10.1023/B:JAMT.0000009174.66897.dc

Nonlinear post‐buckling analysis of viscoelastic nano‐scaled beams by nonlocal integral finite element method: Nonlinear post-buckling analysis of viscoelastic nano-scaled beams by nonlocal integral finite element method

Autoři: Naghinejad, Maysam Ovesy, Hamid Reza

Zdroj: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 102

Témata: Finite difference methods applied to problems in solid mechanics, Newton-Raphson method, Kelvin-Voigt material, Finite element methods applied to problems in solid mechanics, 0203 mechanical engineering, Bifurcation and buckling, nonlocal integral elasticity, Euler-Bernoulli beam, Linear constitutive equations for materials with memory, 02 engineering and technology, Rods (beams, columns, shafts, arches, rings, etc.), finite difference method

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7815584
https://doi.org/10.1002/zamm.202100148

A modified finite difference sensitivity analysis method allowing remeshing in large strain path‐dependent problems: A modified finite difference sensitivity analysis method allowing remeshing in large strain path-dependent problems

Autoři: Guillermo J. Creus P. A. Muñoz-Rojas Jun Sergio Ono Fonseca

Zdroj: International Journal for Numerical Methods in Engineering. 61:1049-1071

Témata: Finite difference methods applied to problems in solid mechanics, remeshing, sensitivity analysis, Laplacian smoothing, 0203 mechanical engineering, Large-strain, rate-independent theories of plasticity (including nonlinear plasticity), 0103 physical sciences, 02 engineering and technology, path-dependent problems, 01 natural sciences, nonlinear finite element analysis

Popis souboru: application/xml

Přístupová URL adresa: https://ui.adsabs.harvard.edu/abs/2004IJNME..61.1049M/abstract

Radial migration and motion characteristics of elastic fibers in cylindrical Couette flow: a numerical simulation study

Autoři: Cui, Jingyu Liu, Yibo Leng, Chunhui a další

Zdroj: Acta Mechanica. 234:6439-6450

Témata: Incompressible viscous fluids, Finite difference methods applied to problems in solid mechanics, centrifugal force, fiber transport, Particle methods and lattice-gas methods, finite difference elastic solver, General theory of rotating fluids, immersed boundary-lattice Boltzmann fluid solver, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), rotating Couette flow

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7784016
https://doi.org/10.1007/s00707-023-03723-y