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A convected particle Gauss-quadrature interpolation for the cell crossing error reduction
Convected particle domain interpolation (CPDI) is a developed extension technique of the material point method (MPM), which can effectively reduce...
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Maximum Correntropy Square Root Gauss-Hermite Quadrature Information Filter for Multiple Sensor Estimation
For multiple sensor estimation in nonlinear Gaussian environment, the traditional Gauss-Hermite quadrature information filter (GHQIF) has great...
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An Adapted Formulation for the Locally Adaptive Weak Quadrature Element Method Using Gauss-Lobatto Points
In this manuscript, the Gauss-Lobatto-Legendre (GLL) points is proposed as an alternative to formulate elements of the Locally adaptive Weak...
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On Some Modifications of the Gauss Quadrature Method and Its Application to Solve of the Initial-Value Problem for ODE
One of the known methods for calculation of definite integrals is the Gauss quadrature method. And one of the difficulties in the construction of the...
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Robust adaptive beamforming based on covariance matrix reconstruction using Gauss–Legendre quadrature and steering vector estimation
The performance of adaptive beamforming is considerably affected by system errors in the gain and phase perturbation errors, direction of arrival...
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Numerical Evaluation of Highly Oscillatory Integrals of Arbitrary Function Using Gauss-Legendre Quadrature Rule
This paper presents a numerical integration of definite integrals of the form $$ {\int}_0^1\mathrm{f}\left(\mathrm{x}\right)\sin...
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Design of Efficient Quadrature Scheme in Finite Element Using Deep Learning
The advancement of computers has led to collection and handling of huge data from various resources. The inherent properties of computational...
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Numerical Solution of Counter-Current Imbibition Phenomenon in Homogeneous Porous Media Using Polynomial Base Differential Quadrature Method with Chebyshev-Gauss-Lobatto Grid Points
In this paper, we proposed analytical based Polynomial differential quadrature process to obtain numerical solutions of imbibition phenomenon with...
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Calculation of ship motions in steep waves with restoring and Froude-Krylov forces on an adaptive panel mesh with Gauss and analytic integration methods
The impulse response method is a frequently used method to calculate ship seakee** behavior. In this paper, the restoring and Froude-Krylov...
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A lumped mass finite element formulation with consistent nodal quadrature for improved frequency analysis of wave equations
A lumped mass finite element formulation with consistent nodal quadrature is presented for improved frequency analysis of wave equations with...
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A Review of Basic Finite Element Procedures
A thorough review of all basic (fundamental) components of the finite element (FE) procedures is presented in this chapter, which includes the “weak...
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A novel formulation for the weak quadrature element method for solving vibration of strain gradient graded nonlinear nanobeams
A novel formulation of the weak form quadrature element method, referred to as the locally adaptive weak quadrature element method, is proposed to...
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Study on HOBEM Based on Analytical Panel Integrals Related to Translating-Pulsating Source for Hydrodynamic Responses of Vessels Sailing in Waves
A higher-order boundary element method (HOBEM) incorporated with analytical panel integrals related to translating-pulsating source Green’s function...
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A note on stress intensity factors evaluation by J-Integrals in the Dual Boundary Element Method
The Dual Boundary Element Method (DBEM) has successfully been applied to fracture mechanics problems for the last three decades. Restricting the...
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Modeling Elastic Wave Propagation in Fiber-Reinforced Media Using Lagrange Spectral Element Method
In the present study, spectral element method is applied for the simulation of two-dimensional wave propagation in linear elastic fiber-reinforced...
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Assessment of EqP in XFEM for weak discontinuities
This work analyzes the use of Equivalent Polynomials (EqP) in the context of the eXtended Finite Element Method (XFEM). Special attention is devoted...
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The Vibration Characteristics of Printing Moving Membrane Based on the Differential Quadrature Hierarchical Method
A new method for investigating the vibration characteristics of printing moving membranes of printed electronics is applied in this paper. Firstly,...
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Iterated Orthogonal Simplex Cubature Kalman Filter for Target Tracking
In this paper, an iterated orthogonal simplex cubature Kalman filter (IOSCKF) for target tracking is proposed. The Gaussian weighted integral is...
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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...
