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A stable one-point quadrature rule for three-dimensional numerical manifold method
We present a numerically stable one-point quadrature rule for the stiffness matrix and mass matrix of the three-dimensional numerical manifold method...
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A coupled weak-form meshfree method for underwater noise prediction
A meshfree weak-form method based on combining a radial point interpolation method (RPIM) and modified Dirichlet-to-Neumann (MDtN) boundary condition...
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A Meshless Weak–Strong Form Method for the Simulation of Coupled Flow and Contaminant Transport in an Unconfined Aquifer
Meshless methods are potential substitutes to the conventional finite difference and finite element methods (FDM and FEM) and have the advantage of...
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An interface-enriched generalized finite element formulation for locking-free coupling of non-conforming discretizations and contact
We propose an enriched finite element formulation to address the computational modeling of contact problems and the coupling of non-conforming...
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Element-free Galerkin analysis of MHD duct flow problems at arbitrary and high Hartmann numbers
A stabilized element-free Galerkin (EFG) method is proposed in this paper for numerical analysis of the generalized steady MHD duct flow problems at...
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On a virtual element formulation for trusses and beams
The virtual element method (VEM) was developed not too long ago, starting with the paper [
2 ] related to elasticity in solid mechanics. The virtual...
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Strain Gradient Finite Element Formulation of Flexoelectricity in Ferroelectric Material Based on Phase-Field Method
Flexoelectricity is a two-way coupling effect between the strain gradient and electric field that exists in all dielectrics, regardless of point...
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A stabilized one-point integrated mixed formulation for finite element and meshfree methods in modeling nearly incompressible materials
This study develops a stabilized Galerkin mixed formulation within a one-point integrated framework to model nearly incompressible materials. The...
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Concurrent semi-Lagrangian reproducing kernel formulation and stability analysis
The semi-Lagrangian Reproducing Kernel (SL RK) has been successfully applied to simulations of extreme deformation problems thanks to intensive...
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Nonlinear free vibrations of Timoshenko–Ehrenfest beams using finite element analysis and direct scheme
In this work, nonlinear free vibrations of fully geometrically exact Timoshenko–Ehrenfest beams are investigated. First, the exact strong form of the...
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Flexural and eigen-buckling analysis of steel-concrete partially composite plates using weak form quadrature element method
Flexural and eigen-buckling analyses for rectangular steel-concrete partially composite plates (PCPs) with interlayer slip under simply supported and...
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Consistency, precision, and accuracy assessment of the collocation boundary element method for two-dimensional problems of potential and elasticity
The collocation boundary element method, as developed and taught in the traditional books, suffers from severe inconsistencies, partly responsible...
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A weak Galerkin finite element method for singularly perturbed problems with two small parameters on Bakhvalov-type meshes
A weak Galerkin finite element method is proposed and analyzed for solving two-parameter singularly perturbed differential equations on...
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Unfitted Finite Element Methods for Axisymmetric Two-Phase Flow
We propose and analyze unfitted finite element approximations for the two-phase incompressible Navier–Stokes flow in an axisymmetric setting. The...
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A perturbation-based stochastic nonlinear beam element formulation using the B-spline wavelet on the interval finite element method
The current work presents a formulation of stochastic B-spline wavelet on the interval (BSWI)-based wavelet finite element method (WFEM) for analysis...
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Finite Element Discretizations for Variable-Order Fractional Diffusion Problems
We present a finite element discretization scheme for multidimensional fractional diffusion problems with spatially varying diffusivity and...
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A quadrature element formulation of geometrically nonlinear laminated composite shells incorporating thickness stretch and drilling rotation
In this paper, a weak form quadrature element formulation of a geometrically nonlinear shell model is proposed and applied for analysis of laminated...
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One-point quadrature of higher-order finite and virtual elements in nonlinear analysis
In the present article, a stability- and consistency-preserving integration scheme for polynomial Galerkin approaches of arbitrary order is...
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A Consistent Finite Element Formulation of the Geometrically Non-linear Reissner-Mindlin Shell Model
We present an objective, singularity-free, path independent, numerically robust and efficient geometrically non-linear Reissner-Mindlin shell finite...
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Assessment of New Quasi-3D Finite Element Model for Free Vibration and Stability Behaviors of Thick Functionally Graded Beams
A new quasi-3D finite element model is formulated and implemented in this research to evaluate the free vibration and stability behaviors of thick...
