Výsledky vyhledávání - numerical approximation of solutions of dynamical problems in applied mechanics*

A neural network solution of first-passage problems

Autoři: Qian, Jiamin Chen, Lincong Sun, J. Q.

Zdroj: Applied Mathematics and Mechanics. 45:2023-2036

Témata: safe domain boundary, Random vibrations in dynamical problems in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, Monte Carlo simulation (MCS), Other numerical methods in solid mechanics, first-passage time probability, radial basis function neural network (RBF-NN), nonlinear stochastic dynamic system

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7987290
https://doi.org/10.1007/s10483-024-3189-8

Shock Wave Structure of One-Dimensional Hydro-Elastoplastic Riemann Problem with Elastic-Plastic-Fluid Phase Transition: Shock wave structure of one-dimensional hydro-elastoplastic Riemann problem with elastic-plastic-fluid phase transition

Autoři: Li, Xiao Shen, Zhijun Zhang, Hongping a další

Zdroj: Advances in Applied Mathematics and Mechanics. 17:580-598

Témata: Three or more component flows, hydro-elastoplastic model, Numerical approximation of solutions of dynamical problems in solid mechanics, shock wave structure, General theory of ordinary differential operators, shock transition, Shock waves and blast waves in fluid mechanics, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

Popis souboru: application/xml

Numerical Solution of Linear Quasistatic Hereditary Viscoelasticity Problems: Numerical solution of linear quasistatic hereditary viscoelasticity problems

Autoři: Simon Shaw John Robert Whiteman

Zdroj: SIAM Journal on Numerical Analysis. 38:80-97

Témata: a priori error estimates, weak formulation, Finite element methods applied to problems in solid mechanics, linear quasistatic compressible viscoelasticity, Volterra integral equations, Numerical approximation of solutions of dynamical problems in solid mechanics, Volterra equation, Johnson paradigm, discontinuous Galerkin method, temporal mesh adaptivity, space-time finite element approximation, 01 natural sciences, second-order partial differential operators, discrete backward problem, Linear constitutive equations for materials with memory, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1519670
https://doi.org/10.1137/s0036142998337855
https://epubs.siam.org/doi/pdf/10.1137/S0036142998337855
https://dblp.uni-trier.de/db/journals/siamnum/siamnum38.html#ShawW00

A spline-based FE approach to modelling of high frequency dynamics of 1-D structures

Autoři: A. Żak W. Waszkowiak

Zdroj: Computers & Mathematics with Applications. 104:14-33

Témata: Finite element methods applied to problems in solid mechanics, Error bounds for boundary value problems involving PDEs, Linear elasticity with initial stresses, Numerical approximation of solutions of dynamical problems in solid mechanics, finite element method, Nonlinear elasticity, wave propagation, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, high frequency dynamics, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, Numerical computation using splines, 0201 civil engineering, Research exposition (monographs, survey articles) pertaining to numerical analysis, Finite difference methods for initial value and initial-boundary value problems involving PDEs, finite elements, splines, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids, 0210 nano-technology

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/7447583
https://doi.org/10.1016/j.camwa.2021.11.003
https://www.sciencedirect.com/science/article/pii/S0898122121003941

Probabilistic analysis of dynamic stability for a rotating BDFG tapered beam with time-varying velocity and stochastic parameters

Autoři: Yanxun Zhou Yimin Zhang Guo Yao

Zdroj: Acta Mechanica. 232:1709-1728

Témata: Hamilton principle, Inhomogeneity in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, Learning and adaptive systems in artificial intelligence, functionally graded material, 02 engineering and technology, active learning algorithm, 0201 civil engineering, Kriging-based system reliability method, parametric excitation, Bolotin method, 0203 mechanical engineering, Stochastic and other probabilistic methods applied to problems in solid mechanics, Rods (beams, columns, shafts, arches, rings, etc.), Stability of dynamical problems in solid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://link.springer.com/content/pdf/10.1007/s00707-020-02931-0.pdf

Numerical methods for the dynamical problems of elasticity

Autoři: A. N. Konovalov

Zdroj: Siberian Mathematical Journal. 38:471-487

Témata: Finite difference methods applied to problems in solid mechanics, adjointly factorized model, Classical linear elasticity, convergence theorem, Numerical approximation of solutions of dynamical problems in solid mechanics, stability estimate, 0101 mathematics, 01 natural sciences, grid approximation

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1498450
https://link.springer.com/content/pdf/10.1007/BF02683835.pdf
https://link.springer.com/article/10.1007/BF02683835

Finite element approximation of solutions to a class of nonlinear hyperbolic–parabolic equations: Finite element approximation of solutions to a class of nonlinear hyperbolic-parabolic equations

Autoři: Donald A. French Søren Jensen Thomas I. Seidman

Zdroj: Applied Numerical Mathematics. 31:429-450

Témata: regularity of solution, space-time finite element scheme, Finite element methods applied to problems in solid mechanics, Antman-Seidman model, Numerical approximation of solutions of dynamical problems in solid mechanics, viscoelastic rod, infinite compressive stress, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, convergence of semi-discrete finite element method, 01 natural sciences, numerical approximation

Popis souboru: application/xml

Přístupová URL adresa: http://conservancy.umn.edu/bitstream/11299/3310/1/1622.pdf
https://zbmath.org/1367793
https://doi.org/10.1016/s0168-9274(99)00004-5
https://conservancy.umn.edu/bitstream/11299/3310/1/1622.pdf
https://conservancy.umn.edu/handle/11299/3310
http://www.math.umbc.edu/~seidman/Papers/na_rod.pdf
https://www.sciencedirect.com/science/article/pii/S0168927499000045

Variational and numerical analysis of a quasistatic viscoelastic contact problem with adhesion: Variational and numerical analysis of a quasistatic viscoelastic contact problem with adhesion.

Autoři: Mircea Sofonea José R. Fernández Meir Shillor a další

Zdroj: Journal of Computational and Applied Mathematics. 159:431-465

Témata: convergence, Quasistatic contact, Nonlinear constitutive equations for materials with memory, Normal compliance, Numerical approximation of solutions of dynamical problems in solid mechanics, Applied Mathematics, existence, uniqueness, weak solution, Existence and uniqueness, Contact in solid mechanics, 01 natural sciences, Viscoelastic material, Computational Mathematics, Existence of solutions of dynamical problems in solid mechanics, Adhesion, Numerical simulations, Error estimates, 0101 mathematics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2006408
https://doi.org/10.1016/s0377-0427(03)00547-8
http://ui.adsabs.harvard.edu/abs/2003JCoAM.159..431C/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0377042703005478
https://www.sciencedirect.com/science/article/pii/S0377042703005478

The solution of elastostatic and elastodynamic problems with Chebyshev spectral finite elements

Autoři: W. Dauksher A.F. Emery

Zdroj: Computer Methods in Applied Mechanics and Engineering. 188:217-233

Témata: Finite element methods applied to problems in solid mechanics, solution dispersion, dynamic stress intensity factor, Spectral and related methods applied to problems in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, 0211 other engineering and technologies, coarse mesh solutions, Numerical approximation of solutions of equilibrium problems in solid mechanics, 02 engineering and technology, Chebyshev spectral finite elements, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1506866
https://doi.org/10.1016/s0045-7825(99)00149-8
http://ui.adsabs.harvard.edu/abs/2000CMAME.188..217D/abstract
http://www.sciencedirect.com/science/article/pii/S0045782599001498
https://www.sciencedirect.com/science/article/pii/S0045782599001498

An iterative domain decomposition method for the solution of a class of indefinite problems in computational structural dynamics

Autoři: LiJing FarhatCharbel

Zdroj: Applied Numerical Mathematics. 54:150-166

Témata: Finite element methods applied to problems in solid mechanics, FETI-DPH method, Multigrid methods, domain decomposition for initial value and initial-boundary value problems involving PDEs, Numerical approximation of solutions of dynamical problems in solid mechanics, elastic waves, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: http://www.math.kent.edu/~li/Papers/DPH.pdf
http://www.math.kent.edu/~li/Papers/DPH.pdf
https://www.sciencedirect.com/science/article/pii/S0168927404001783
https://dl.acm.org/doi/10.5555/1090567.1642744

A New Twist of the Method of Successive Approximations to Yield Closed-Form Solutions for Inhomogeneous Vibrating Beams by Integral Method: A new twist of the method of successive approximations to yield closed-form solutions for inhomogeneous vibrating beams by integral method

Autoři: Isaac Elishakoff Menahem Baruch Roland Becquet

Zdroj: Meccanica. 37:143-166

Témata: Monte Carlo method, Vibrations in dynamical problems in solid mechanics, Finite element methods applied to problems in solid mechanics, inverse eigenvalue problems, 0203 mechanical engineering, Numerical approximation of solutions of dynamical problems in solid mechanics, Explicit solutions of dynamical problems in solid mechanics, 02 engineering and technology, Rods (beams, columns, shafts, arches, rings, etc.), 0210 nano-technology

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1901387
https://doi.org/10.1023/a:1019635219035
https://link.springer.com/article/10.1023%2FA%3A1019635219035

A wavelet-like Galerkin method for numerical solution of variational inequalities arising in elastoplasticity

Autoři: COMINCIOLI V. SCAPOLLA T. NALDI G. a další

Přispěvatelé: COMINCIOLI V. SCAPOLLA T. NALDI G. a další

Zdroj: Communications in Numerical Methods in Engineering. 16:133-144

Témata: elastoplasticity, Finite element methods applied to problems in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, Numerical methods for wavelets, Other numerical methods in solid mechanics, Wavelet, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

Popis souboru: application/xml; STAMPA

Přístupová URL adresa: https://zbmath.org/1452566
https://doi.org/10.1002/(sici)1099-0887(200002)16:2<133::aid-cnm316>3.0.co;2-d
http://www.unipv.it/venini/papers/comm.pdf
http://www-3.unipv.it/venini/papers/comm.pdf

Dual reciprocity BEM applied to transient elastodynamic problems with differential quadrature method in time: Dual reciprocity BEM applied to transient elastodynamic problem with differential quadrature method in time.

Autoři: Wen Chen Masataka Tanaka

Zdroj: Computer Methods in Applied Mechanics and Engineering. 190:2331-2347

Témata: time-stepping integration, Bartels-Stewart algorithm, Numerical approximation of solutions of dynamical problems in solid mechanics, 0103 physical sciences, vibration, 0101 mathematics, Lyapunov matrix equation, 01 natural sciences, Boundary element methods applied to problems in solid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://hal.archives-ouvertes.fr/hal-01638225/file/MTWC.pdf
https://www.sciencedirect.com/science/article/pii/S0045782500002371
https://hal.archives-ouvertes.fr/hal-01638225/document
https://perso.univ-rennes1.fr/martin.costabel/Backup/papers_pdf/DRBEM.pdf
https://hal.archives-ouvertes.fr/hal-01638225
https://ui.adsabs.harvard.edu/abs/2001CMAME.190.2331T/abstract

Numerical behavior of time domain BEM for three-dimensional transient elastodynamic problems: Numerical behavior of time domain BEM for three-dimensional transient elastodynamic problems.

Autoři: José Domínguez Madelyn Marrero

Zdroj: Engineering Analysis with Boundary Elements. 27:39-48

Témata: 0203 mechanical engineering, Numerical approximation of solutions of dynamical problems in solid mechanics, time domain, 02 engineering and technology, transient dynamic, 0101 mathematics, Boundary elements, three-dimensional cracks, 01 natural sciences, Boundary element methods applied to problems in solid mechanics

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1956774
https://doi.org/10.1016/s0955-7997(02)00082-6
https://www.sciencedirect.com/science/article/pii/S0955799702000826

The piecewise exponential method (PEM) for the numerical simulation of wave propagation: a multidimensional wave problem: The piecewise exponential method (PEM) for the numerical simulation of wave propagation: A multidimensional wave problem

Autoři: V. E. Zalizniak

Zdroj: Computer Methods in Applied Mechanics and Engineering. 178:115-124

Témata: Finite difference methods applied to problems in solid mechanics, Bulk waves in solid mechanics, Numerical approximation of solutions of dynamical problems in solid mechanics, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, Finite difference method, Multidimensional problem, 01 natural sciences, Elastic wave

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1442930
https://doi.org/10.1016/s0045-7825(99)00007-9
https://www.sciencedirect.com/science/article/pii/S0045782599000079
http://ui.adsabs.harvard.edu/abs/1998CMAME.178..115Z/abstract

Iterative solutions for implicit Time Discontinuous Galerkin methods applied to non-linear elastodynamics: Iterative solutions for implicit time discontinuous Galerkin methods applied to nonlinear elastodynamics

Autoři: Bonelli, Alessio Bursi, Oreste Salvatore

Zdroj: Computational Mechanics. 30:487-498

Témata: Time Discontinuous Galerkin methods, Low-computational expense, Iterative methods, Numerical approximation of solutions of dynamical problems in solid mechanics, Nonlinear dynamics, 0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Popis souboru: application/xml

Přístupová URL adresa: https://ui.adsabs.harvard.edu/abs/2003CompM..30..487B/abstract
https://link.springer.com/article/10.1007%2Fs00466-003-0426-3
https://hdl.handle.net/11572/74692

Exploring The Exact Solutions of Differential Equations: Techniques and Applications.

Autoři: P. M., Swami D. K., Patil G. B., Dapke

Zdroj: African Journal of Biomedical Research; 2025 Supplement, Vol. 28, p1871-1880, 10p

Témata: DIFFERENTIAL equations, ENGINEERING, NUMERICAL analysis, MATHEMATICAL models, APPLIED sciences, MATHEMATICAL functions, PROBLEM solving

Numerical Analysis of Structural Systems Subjected to Non-Gaussian Random Fields: Numerical analysis of structural systems subjected to non-Gaussian random fields

Autoři: GIOFFRE', Massimiliano GUSELLA, Vittorio

Zdroj: Meccanica. 37:115-128

Témata: Random vibrations in dynamical problems in solid mechanics, Non-Gaussian fields, Finite element methods applied to problems in solid mechanics, Geometric nonlinearity, Numerical approximation of solutions of dynamical problems in solid mechanics, Random vibrations, 4. Education, Rods (beams, columns, shafts, arches, rings, etc.), Geometric non-linearity, 16. Peace & justice

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/1901385
https://doi.org/10.1023/a:1019666616309
https://link.springer.com/article/10.1023/A%3A1019666616309
https://hdl.handle.net/11391/921132
https://hdl.handle.net/11391/157205

Rothe time‐discretization method for a nonlocal problem arising in thermoelasticity: Rothe time-discretization method for a nonlocal problem arising in thermoelasticity

Autoři: Nabil Merazga Abdelfatah Bouziani

Zdroj: International Journal of Stochastic Analysis. 2005:13-28

Témata: quasi-static flexure, Inverse Problems in Mathematical Physics and Imaging, Economics, Numerical approximation of solutions of dynamical problems in solid mechanics, Theoretical approximation in context of PDEs, Mathematical analysis, 01 natural sciences, Context (archaeology), Numerical Methods for Singularly Perturbed Problems, Initial-boundary value problems for second-order parabolic equations, FOS: Mathematics, Parameter-Robust Methods, 0101 mathematics, Variable (mathematics), Boundary value problem, Biology, Mathematical Physics, Economic growth, Numerical Analysis, convergence, Applied Mathematics, Paleontology, Applied mathematics, thermoelastic rod, Nonlocal Partial Differential Equations and Boundary Value Problems, Thermal effects in solid mechanics, Error bounds for initial value and initial-boundary value problems involving PDEs, Boundary (topology), Physical Sciences, Convergence (economics), Uniqueness, boundary integral condition, Mathematics, Discretization

Popis souboru: application/xml

Přístupová URL adresa: http://downloads.hindawi.com/archive/2005/814938.pdf
https://zbmath.org/2202179
https://doi.org/10.1155/jamsa.2005.13
https://downloads.hindawi.com/archive/2005/814938.pdf
https://www.emis.de/journals/HOA/JAMSA/Volume2005_1/28.pdf
http://downloads.hindawi.com/archive/2005/814938.pdf
http://emis.math.tifr.res.in/journals/HOA/JAMSA/Volume2005_1/28.pdf
https://eudml.org/doc/51899
https://www.hindawi.com/journals/ijsa/2005/814938/

Numerical approximation and error control for a thermoelastic contact problem

Autoři: M. I. M. Copetti Donald A. French

Zdroj: Applied Numerical Mathematics. 55:439-457

Témata: Contact problem, Error bounds for initial value and initial-boundary value problems involving PDEs, Thermal effects in solid mechanics, 0203 mechanical engineering, Numerical approximation of solutions of dynamical problems in solid mechanics, Crank-Nicolson, 02 engineering and technology, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, Contact in solid mechanics, 01 natural sciences, Thermoelasticity

Popis souboru: application/xml

Přístupová URL adresa: https://zbmath.org/2231400
https://doi.org/10.1016/j.apnum.2004.12.002
https://www.sciencedirect.com/science/article/pii/S0168927405000085