Found 1,005 Documents (Results 1–100)
Variational consistent one-point integration with Taylor’s expansion-based stabilization in the second-order meshfree Galerkin method for strain gradient elasticity. (English) Zbl 07917772
Adaptive topology optimization for enhancing resistance to brittle fracture using the phase field model. (English) Zbl 07917721
An immersed boundary fast meshfree integration methodology with consistent weight learning. (English) Zbl 07897546
Meshfree multiscale method with partially explicit time discretization for nonlinear Stefan problem. (English) Zbl 07890869
A three-dimensional consistent ordinary state-based peridynamic formulation with high accuracy. (English) Zbl 07886282
A meshfree method for the nonlinear KdV equation using stabilized collocation method and gradient reproducing kernel approximations. (English) Zbl 07886242
Frequency convergence characteristics of lumped mass Galerkin meshfree methods. (English) Zbl 07868710
MSC:
74-XX
A new meshfree variational multiscale (VMS) method for essential boundary conditions. (English) Zbl 07867452
Neural-integrated meshfree (NIM) method: a differentiable programming-based hybrid solver for computational mechanics. (English) Zbl 07867418
A partition of unity construction of the stabilization function in Nitsche’s method for variational problems. (English) Zbl 1539.65181
Quasi-consistent efficient meshfree thin shell formulation with naturally stabilized enforced essential boundary conditions. (English) Zbl 07855409
A novel nodal integration technique for meshfree methods based on the Cartesian transformation approach in the analysis of curved shells. (English) Zbl 07855364
A GFDM approach based on the finite pointset method for two-dimensional piezoelectric problems. (English) Zbl 07855360
A novel highly accurate Trefftz attitude towards bending and free vibration analysis of doubly-curved laminated and sandwich shallow shells. (English) Zbl 07855350
The meshless radial point interpolation method with \(\rho_\infty\)-bathe implicit time discretization algorithm for transient elastodynamic analysis. (English) Zbl 07855341
A novel extended integrated radial basis functions meshfree method for crack analysis in plate problem. (English) Zbl 07855300
A meshfree approach for vibro-acoustic analysis of combined composite laminated shells with variable thickness. (English) Zbl 07855289
Concurrent semi-Lagrangian reproducing kernel formulation and stability analysis. (English) Zbl 07850349
MSC:
74-XX
An upwind moving least squares approximation to solve convection-dominated problems: an application in mixed discrete least squares meshfree method. (English) Zbl 07843834
A peridynamics approach to flexible multibody dynamics for fracture analysis of mechanical systems. (English) Zbl 07843084
On the one-point quadrature discretization in peridynamics: a novel perspective from Monte Carlo integration. (English) Zbl 1536.65030
A multigrid coupling approach of the extended isogeometric-meshfree method and peridynamics for brittle fracture. (English) Zbl 1535.74662
Upwind reproducing kernel collocation method for convection-dominated problems. (English) Zbl 1536.76122
Variable-order fractional Laplacian and its accurate and efficient computations with meshfree methods. (English) Zbl 1534.65213
Construction of contraction metrics for discrete-time dynamical systems using meshfree collocation. (English) Zbl 1533.65250
Meshfree methods for the nonlinear variable-order fractional advection-diffusion equation. (English) Zbl 07849691
A simple meshfree method based on Trefftz attitude for 2D and 3D elasticity problems. (English) Zbl 1537.74385
A numerical solution of fractional reaction-convection-diffusion for modeling PEM fuel cells based on a meshless approach. (English) Zbl 1537.65100
The elastoplastic large deformation analysis based on meshless radial basis reproducing kernel particle method. (English) Zbl 1537.74377
A rotation-free Hellinger-Reissner meshfree thin plate formulation naturally accommodating essential boundary conditions. (English) Zbl 1537.74253
Vibro-acoustic analysis of laminated composite cylindrical and conical shells using meshfree method. (English) Zbl 1539.74213
An efficient hybrid boundary-type weak-form meshfree algorithm for 2D thermal analysis in inhomogeneous functionally graded materials. (English) Zbl 1539.74503
Localized RBF methods for modeling infiltration using the Kirchhoff-transformed Richards equation. (English) Zbl 1539.76207
An optimization-based strategy for peridynamic-FEM coupling and for the prescription of nonlocal boundary conditions. (English) Zbl 1532.74123
Mengesha, Tadele (ed.) et al., A\(^3\)N\(^2\)M: approximation, applications, and analysis of nonlocal, nonlinear models. Proceedings of the 50th John H. Barrett memorial lectures, Knoxville, TN, USA, virtual, May 2021. Cham: Springer. IMA Vol. Math. Appl. 165, 151-174 (2023).
Physics-informed neural networks for solving dynamic two-phase interface problems. (English) Zbl 1528.35105
A novel local Hermite radial basis function-based differential quadrature method for solving two-dimensional variable-order time fractional advection-diffusion equation with Neumann boundary conditions. (English) Zbl 1535.65229
Dirichlet-type absorbing boundary conditions for peridynamic scalar waves in two-dimensional viscous media. (English) Zbl 1542.74040
Deep learning methods for partial differential equations and related parameter identification problems. (English) Zbl 1527.35501
A fast and accurate coupled meshless algorithm for the 2D/3D Gross-Pitaevskii equations on two GPUs. (English) Zbl 07763201
A meshfree large-deformation analysis method for geotechnical engineering based on the RBF field variable mapping technology. (English) Zbl 1536.74254
A quasi-conforming embedded reproducing kernel particle method for heterogeneous materials. (English) Zbl 1536.74318
Thermodynamic response analysis of functionally graded doubly-curved panels with varying circumferential size using meshfree method. (English) Zbl 1529.74050
A local meshfree radial point interpolation method for Berger equation arising in modelling of thin plates. (English) Zbl 1525.65130
An ALE meshfree method for surface PDEs coupling with forced mean curvature flow. (English) Zbl 07748053
Meshfree methods for nonlinear equilibrium radiation diffusion equation with jump coefficient. (English) Zbl 1538.65421
Generalized moving least squares vs. radial basis function finite difference methods for approximating surface derivatives. (English) Zbl 1538.65457
Dynamic analysis of laminated composite double cylindrical and conical shells with bulkheads using meshfree method. (English) Zbl 1530.74031
A coupling approach of the isogeometric-meshfree method and peridynamics for static and dynamic crack propagation. (English) Zbl 1535.74664
A meshfree method for the solution of 2D and 3D second order elliptic boundary value problems in heterogeneous media. (English) Zbl 1540.74146
A novel Trefftz-based meshfree method for free vibration and buckling analysis of thin arbitrarily shaped laminated composite and isotropic plates. (English) Zbl 1538.74094
A meshfree collocation scheme for surface differential operators on point clouds. (English) Zbl 1522.65154
Monotone meshfree methods for linear elliptic equations in non-divergence form via nonlocal relaxation. (English) Zbl 1522.65188
J. Sci. Comput. 96, No. 3, Paper No. 85, 33 p. (2023); correction ibid. 97, No. 2, Paper No. 46, 1 p. (2023).
Compact moving particle semi-implicit method for incompressible free-surface flow. (English) Zbl 1539.76164
Convolution hierarchical deep-learning neural network (C-HiDeNN) with graphics processing unit (GPU) acceleration. (English) Zbl 07719578
Moving least squares approximation using variably scaled discontinuous weight function. (English) Zbl 1524.65053
A novel meshfree method based on spatio-temporal homogenization functions for one-dimensional fourth-order fractional diffusion-wave equations. (English) Zbl 07708820
A new variable shape parameter strategy for RBF approximation using neural networks. (English) Zbl 1538.65031
A partially mesh-free scheme for representing anisotropic spatial variations along field lines: conservation, quadrature, and the delta property. (English) Zbl 07700433
Guidelines for RBF-FD discretization: numerical experiments on the interplay of a multitude of parameter choices. (English) Zbl 1516.65010
A nodal integration based two level local projection meshfree stabilization method for convection diffusion problems. (English) Zbl 1521.76752
A novel artificial neural network-based interface coupling approach for partitioned fluid-structure interaction problems. (English) Zbl 1521.76077
A new approximation method for convection-diffusion equation by the fundamental solutions. (English) Zbl 1538.65441
A peridynamic model for electromechanical fracture and crack propagation in piezoelectric solids. (English) Zbl 1539.74049
Three-dimensional nonlinear stability analysis of axial-thermal-electrical loaded FG piezoelectric microshells via MKM strain gradient formulations. (English) Zbl 07689968
A coupled RKPM and dynamic infinite element approach for solving static and transient heat conduction problems. (English) Zbl 1521.80008
Local maximum-entropy approximation based stabilization methods for the convection diffusion problems. (English) Zbl 1521.65131
A strong-form meshfree computational method for plane elastostatic equations of anisotropic functionally graded materials via multiple-scale Pascal polynomials. (English) Zbl 1521.74428
Recovery by discretization corrected particle strength exchange (DC PSE) operators. (English) Zbl 1511.74063
Numerical investigation of the element-free Galerkin method (EFGM) with appropriate temporal discretization techniques for transient wave propagation problems. (English) Zbl 1511.74058
MGM: a meshfree geometric multilevel method for systems arising from elliptic equations on point cloud surfaces. (English) Zbl 1512.65249
Modified refinement algorithm to construct Lyapunov functions using meshless collocation. (English) Zbl 1515.37097
Adaptive fourth-order phase-field modeling of ductile fracture using an isogeometric-meshfree approach. (English) Zbl 1539.74378
An accuracy analysis framework for meshfree collocation methods with particular emphasis on boundary effects. (English) Zbl 1536.65155
MSC:
65N35
Automatic modelling of heterotypic tunnel structures via NURBS-based meshfree method. (English) Zbl 1537.74331
Exact and approximate analytical solutions for nonlocal nanoplates of arbitrary shapes in bending using the line element-less method. (English) Zbl 1522.74066
Meshfree extrapolation with application to enhanced near-boundary approximation with local Lagrange kernels. (English) Zbl 1518.41001
Reviewer: Francisco Pérez Acosta (La Laguna)
Residual stress formation on the powder scale of metal powder bed fusion processes. (English) Zbl 1525.74038
Aldakheel, Fadi (ed.) et al., Current trends and open problems in computational mechanics. Cham: Springer. 581-591 (2022).
A fully explicit incompressible smoothed particle hydrodynamics method for multiphase flow problems. (English) Zbl 1521.76706
A Trefftz based meshfree local method for bending analysis of arbitrarily shaped laminated composite and isotropic plates. (English) Zbl 1521.74134
An implicit SPH-based structure model for accurate fluid-structure interaction simulations with hourglass control scheme. (English) Zbl 1500.76066
On the prescription of boundary conditions for nonlocal Poisson’s and peridynamics models. (English) Zbl 1501.74068
Español, Malena I. (ed.) et al., Research in mathematics of materials science. Cham: Springer. Assoc. Women Math. Ser. 31, 185-207 (2022).
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