Suchergebnisse - "PDEs in connection with mechanics of deformable solids"

VEM-Nitsche Fully Discrete Polytopal Scheme for Frictionless Contact-Mechanics: VEM-Nitsche fully discrete polytopal scheme for frictionless contact-mechanics

Autoren: Laaziri, Mohamed Masson, Roland

Quelle: SIAM Journal on Numerical Analysis. 63:81-102

Schlagwörter: Nitsche's method, Error bounds for boundary value problems involving PDEs, Finite element methods applied to problems in solid mechanics, Flows in porous media, filtration, seepage, Numerical computation of solutions to systems of equations, poromechanics, fracture networks, fully discrete approach, 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, Contact in solid mechanics, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), virtual element method, Classical linear elasticity, error estimates, Soil and rock mechanics, contact-mechanics, polytopal method, PDEs in connection with mechanics of deformable solids

Dateibeschreibung: application/xml

Non-linear biphasic mixture model: Existence and uniqueness results: Non-linear biphasic mixture model: existence and uniqueness results

Autoren: Meraj Alam Adrian Muntean Raja Sekhar G P

Quelle: European Journal of Applied Mathematics, Pp 1-25

Schlagwörter: Matematik, fixed-point theory, 76Txx, 35D30, hydraulic resistivity, Multiphase and multicomponent flows, 01 natural sciences, in-vitro tumour, Mathematics - Analysis of PDEs, Biological fluid mechanics, 35Q74, weak solutions, QA1-939, biphasic mixture theory, FOS: Mathematics, 76Txx, 76Zxx (Primary) 35Q74, 35D30 (Secondary), 0101 mathematics, PDEs in connection with mechanics of deformable solids, Weak solutions to PDEs, 76Zxx, Mathematics, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml; application/pdf

Zugangs-URL: http://arxiv.org/abs/2202.06059
https://zbmath.org/8035155
https://doi.org/10.1017/s0956792524000251
https://doaj.org/article/c292274aceb84b85ab03c6b26faf5c0f
http://urn.kb.se/resolve?urn=urn:nbn:se:kau:diva-101885

Null Internal Controllability for a Kirchhoff–Love Plate with a Comb-Like Shaped Structure: Null internal controllability for a Kirchhoff-Love plate with a comb-like shaped structure

Autoren: Umberto De Maio Antonio Gaudiello Catalin-George Lefter

Quelle: SIAM Journal on Control and Optimization. 62:2456-2474

Schlagwörter: Hilbert uniqueness method, rough boundary, weak formulation, Control/observation systems governed by partial differential equations, limit control function, a priori control norm-estimate, asymptotic homogenization, Plates, Homogenization and oscillations in dynamical problems of solid mechanics, PDEs in connection with mechanics of deformable solids, Homogenization in context of PDEs, PDEs in media with periodic structure

Dateibeschreibung: application/xml

Zugangs-URL: https://hdl.handle.net/11588/971403
https://doi.org/10.1137/24M1647825
https://hdl.handle.net/11591/543851
https://doi.org/10.1137/24M1647825

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

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

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

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://hdl.handle.net/11104/0358061

To the Development and Perspective of Some Linear and Non-linear Problems of Continuum Mechanics: To the development and perspective of some linear and non-linear problems of continuum mechanics

Autoren: Vashakmadze, Tamaz Buzhghulashvili, Giorgi

Quelle: Lobachevskii Journal of Mathematics. 45:3783-3809

Schlagwörter: elastic thin-walled structures, generalized analytic functions theory, Monge-Ampére operator, Plates, PDEs in connection with fluid mechanics, PDEs in connection with mechanics of deformable solids, alternating direction method

Dateibeschreibung: application/xml

On the Well-Posedness and Long Time Dynamics for a Coupled Nonlinear Bridge System with Past History: On the well-posedness and long time dynamics for a coupled nonlinear bridge system with past history

Autoren: Soh Edwin Mukiawa Salim A. Messaoudi

Quelle: Applied Mathematics & Optimization. 91

Schlagwörter: well-posedness, Initial-boundary value problems for higher-order hyperbolic systems, Higher-order semilinear hyperbolic equations, past history, attractors, suspension bridge, Attractors, Weak solutions to PDEs, PDEs in connection with mechanics of deformable solids

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/8028852
https://doi.org/10.1007/s00245-025-10252-8

Analysis of wave propagation in multi‐physical environments for double‐layer auxetic FGP sandwich plates resting on Kerr elastic foundation: Analysis of wave propagation in multi-physical environments for double-layer auxetic FGP sandwich plates resting on Kerr elastic foundation

Autoren: Nguyen Thi Hong

Quelle: Mathematical Methods in the Applied Sciences. 47:8922-8945

Schlagwörter: shear connectors, Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, stealth, Surface waves in solid mechanics, wave propagation, 02 engineering and technology, Plates, PDEs in connection with mechanics of deformable solids, 0210 nano-technology

Dateibeschreibung: application/xml

Internal uniform hydrostatic stress field within a double, triple or quadruple coated elastic inhomogeneity possessing an (n + 1)-fold axis of rotational symmetry: Internal uniform hydrostatic stress field within a double, triple or quadruple coated elastic inhomogeneity possessing an \((n + 1)\)-fold axis of rotational symmetry

Autoren: Wang, Xu Schiavone, Peter

Quelle: Zeitschrift für angewandte Mathematik und Physik. 76

Schlagwörter: Inverse problems in equilibrium solid mechanics, Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids, Classical linear elasticity, Inhomogeneity in solid mechanics, Micromechanics of solids, Boundary value problems in the complex plane, elastic inhomogeneity, quadruple coating, Complex-variable methods applied to problems in solid mechanics, uniform hydrostatic stress, PDEs in connection with mechanics of deformable solids, triple coating, double coating

Dateibeschreibung: application/xml

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

Autoren: Lin Qiu Fajie Wang Wenzhen Qu et al.

Quelle: International Journal for Numerical Methods in Engineering. 126

Schlagwörter: 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

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7991422
https://doi.org/10.1002/nme.70002

Scalar Auxiliary Variable (SAV) Stabilization of Implicit‐Explicit (IMEX) Time Integration Schemes for Non‐Linear Structural Dynamics: Scalar auxiliary variable (SAV) stabilization of implicit-explicit (IMEX) Time integration schemes for non-linear structural dynamics

Autoren: Sun‐Beom Kwon Arun Prakash

Quelle: International Journal for Numerical Methods in Engineering. 126

Schlagwörter: energy stability, Numerical Analysis, high-order time integration scheme, implicit-explicit, Numerical Analysis (math.NA), Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Methods of ordinary differential equations applied to PDEs, structural dynamics, Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, 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, PDEs in connection with mechanics of deformable solids, error analysis, scalar auxiliary variable

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2406.02839
https://zbmath.org/7991400
https://doi.org/10.1002/nme.7660

Mesh-Robust Convergence of a Third-Order Variable-Step Deferred Correction Method for the Cahn–Hilliard Model: Mesh-robust convergence of a third-order variable-step deferred correction method for the Cahn-Hilliard model

Autoren: Nan Liu Jiahe Yue Hong-lin Liao

Quelle: Journal of Scientific Computing. 102

Schlagwörter: Extrapolation to the limit, deferred corrections, Error bounds for initial value and initial-boundary value problems involving PDEs, Structured surfaces and interfaces, coexistent phases, adaptive time-stepping algorithms, discrete orthogonal convolution kernels, Finite difference methods for initial value and initial-boundary value problems involving PDEs, deferred correction method, Micromechanical theories, Cahn-Hilliard model, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids, variable-step third-order scheme

Dateibeschreibung: application/xml

Inverting mechanical and variable-order parameters of the Euler–Bernoulli beam on viscoelastic foundation: Inverting mechanical and variable-order parameters of the Euler-Bernoulli beam on viscoelastic foundation

Autoren: Cheng, Jin Yang, Zhiwei Zheng, Xiangcheng

Quelle: Journal of Inverse and Ill-posed Problems. 32:261-275

Schlagwörter: Numerical optimization and variational techniques, Inverse problems for PDEs, Initial-boundary value problems for nonlinear higher-order PDEs, Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs, Fractional partial differential equations, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, Vibrations in dynamical problems in solid mechanics, Fractional derivatives and integrals, Euler-Bernoulli beam, viscoelastic foundation, finite element scheme, inverse problem, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Composite and mixture properties, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, PDEs in connection with mechanics of deformable solids

Dateibeschreibung: application/xml

Vibrational analysis of transversely isotropic hollow cylinder based on fractional generalized thermoelastic diffusion models with nonlocal effects

Autoren: Geetanjali Geetanjali P. K. Sharma

Quelle: Acta Mechanica. 235:147-166

Schlagwörter: Vibrations in dynamical problems in solid mechanics, PDEs in connection with mechanics of deformable solids, Fractional partial differential equations

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7792890
https://doi.org/10.1007/s00707-023-03738-5

Asymptotic Justification of Equations for von Kármán Membrane Shells: Asymptotic justification of equations for von Kármán membrane shells

Autoren: Legougui, M. Ghezal, A.

Quelle: Mathematical Notes. 114:536-552

Schlagwörter: nonlinear elasticity, von Kármán boundary condition, three-dimensional variational problem, Nonlinear elasticity, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, PDEs in connection with mechanics of deformable solids, Shells, small shell thickness, formal asymptotic expansion, Saint-Venant-Kirchhoff material

Dateibeschreibung: application/xml

Zugangs-URL: https://zbmath.org/7761788
https://doi.org/10.1134/s0001434623090237

Partial boundary regularity for the Navier–Stokes equations in time-dependent domains: Partial boundary regularity for the Navier-Stokes equations in time-dependent domains

Autoren: Dominic Breit

Quelle: Journal of Differential Equations. 434:113299

Schlagwörter: Mathematics - Analysis of PDEs, Smoothness and regularity of solutions to PDEs, Navier-Stokes equations for incompressible viscous fluids, FOS: Mathematics, Navier-Stokes equations, PDEs in connection with mechanics of deformable solids, Existence, uniqueness, and regularity theory for incompressible viscous fluids, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2305.02602
https://zbmath.org/8034589
https://doi.org/10.1016/j.jde.2025.113299

On logarithmic double phase problems

Autoren: Rakesh Arora Ángel Crespo-Blanco Patrick Winkert

Quelle: Journal of Differential Equations. 433:113247

Schlagwörter: Variational methods for second-order elliptic equations, density of smooth functions, sign-changing solution, logarithmic Musielak-Orlicz spaces, logarithmic double phase operator, Poincaré-Miranda existence theorem, Existence problems for PDEs: global existence, local existence, non-existence, Elliptic equations and elliptic systems, Mathematics - Analysis of PDEs, Boundary value problems for second-order elliptic equations, Quasilinear elliptic equations, Young's inequality for logarithmic terms, FOS: Mathematics, PDEs in connection with mechanics of deformable solids, Quasilinear elliptic equations with \(p\)-Laplacian, Analysis of PDEs (math.AP)

Dateibeschreibung: application/xml

Zugangs-URL: http://arxiv.org/abs/2309.09174

Novel semi-analytical solution strategy for stress analysis of linear elastic half-plane containing an isolated hole

Autoren: Pandey, Gourav Bhandakkar, Tanmay K.

Quelle: Zeitschrift für angewandte Mathematik und Physik. 75

Schlagwörter: linear elastic, Classical linear elasticity, Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type, contact mechanics, Numerical methods for partial differential equations, boundary value problems, Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions, half-plane, circular hole, PDEs in connection with mechanics of deformable solids, stress concentration, Contact in solid mechanics, Stress concentrations, singularities in solid mechanics

Dateibeschreibung: application/xml

Rich Dynamics for a Model Arising in the Study of Suspension Bridges: Rich dynamics for a model arising in the study of suspension bridges

Autoren: Maurizio Garrione Fabio Zanolin

Quelle: Journal of Nonlinear Science. 35

Schlagwörter: chaotic dynamics, Applications of boundary value problems involving ordinary differential equations, suspension bridges, Dynamical aspects of twist maps, Duffing equations, Complex behavior and chaotic systems of ordinary differential equations, bimodal solutions, linked twist maps, Qualitative investigation and simulation of ordinary differential equation models, Boundary eigenvalue problems for ordinary differential equations, longitudinal and torsional motions, Periodic solutions to ordinary differential equations, PDEs in connection with mechanics of deformable solids, Special ordinary differential equations (Mathieu, Hill, Bessel, etc.)

Dateibeschreibung: application/xml

Specht Triangle Approximation of Large Bending Isometries: Specht triangle approximation of large bending isometries

Autoren: Li, Xiang Ming, Pingbing

Quelle: Annals of Applied Mathematics. 39:544-569

Schlagwörter: Finite element methods applied to problems in solid mechanics, Finite difference methods for initial value and initial-boundary value problems involving PDEs, plate bending, Energy minimization in equilibrium problems in solid mechanics, 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, Stability and convergence of numerical methods for boundary value problems involving PDEs, Newton-type methods, PDEs in connection with mechanics of deformable solids, Specht triangle, adaptive time-stepping gradient flow, isometry constraint

Dateibeschreibung: application/xml

Distance minimizing based data‐driven computational method for the finite deformation of hyperelastic materials: Distance minimizing based data-driven computational method for the finite deformation of hyperelastic materials

Autoren: Zhangcheng Zheng Zijian Zhang Hongfei Ye et al.

Quelle: International Journal for Numerical Methods in Engineering. 124:2315-2340

Schlagwörter: Elastic materials, Finite element methods applied to problems in solid mechanics, incompressible constraint, hyperelastic materials, data-driven solver, Nonlinear elasticity, distance minimizing, 0211 other engineering and technologies, deviatoric/volumetric split of stress, 02 engineering and technology, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Rods (beams, columns, shafts, arches, rings, etc.), PDEs in connection with mechanics of deformable solids

Dateibeschreibung: application/xml