Results 41 to 50 of about 73,174 (233)
Difference interior penalty discontinuous Galerkin method for the 3D elliptic equation
Results in Applied MathematicsThis paper presents a difference interior penalty discontinuous Galerkin method for the 3D elliptic boundary-value problem. The main idea of this method is to combine the finite difference discretization in the z-direction with the interior penalty ...
Jian Li, Wei Yuan, Luling Cao
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Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems
Abstract and Applied Analysis, 2014 A numerical method is proposed by wavelet-Galerkin and quasilinearization approach for nonlinear boundary value problems. Quasilinearization technique is applied to linearize the nonlinear differential equation and then wavelet-Galerkin method is ...
Umer Saeed, Mujeeb ur Rehman
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Deep Underground Science and Engineering, EarlyView.In the process of water‐soluble cavern construction of salt cavern energy storage, since the interlayer does not dissolve in water easily, sudden collapse will cause engineering accidents such as bending and damage of the inner tube of the cavern.
Zenghui Zhao +5 more
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Deep Underground Science and Engineering, EarlyView.Joint orientation significantly affects P‐wave velocity, with the highest velocity at zero‐degree angles, decreasing to 30° as the angle increases. The velocity increases slightly from 30 to 45 degrees but sharply decreases from 45 to 90 degrees. Abstract Determination of the required parameters in different science contexts using the ultrasonic wave ...
Yaghoob Zarei +4 more
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On conservation laws of Navier-Stokes Galerkin discretizations [PDF]
Journal of Computational Physics, 2016 We study conservation properties of Galerkin methods for the incompressible Navier–Stokes equations, without the divergence constraint strongly enforced.
S. Charnyi +3 more
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Axioms, 2023 For the purpose of solving elliptic partial differential equations, we suggest a new approach using an h-adaptive local discontinuous Galerkin approximation based on Sinc points.
Omar A. Khalil, Gerd Baumann
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Energy Science &Engineering, EarlyView.This research explores how fluid flow, structural movement, and sound interact in an elastic baffle system. Using a numerical approach based on the finite element method, the study analyzes how noise and vibrations change with different baffle configurations. The findings reveal that shortening the baffle by half reduces noise transmission by 9%, while
Tohid Adibi +5 more
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Primal-dual weak Galerkin finite element methods for elliptic Cauchy problems [PDF]
Computers and Mathematics with Applications, 2018 The authors propose and analyze a well-posed numerical scheme for a type of ill-posed elliptic Cauchy problem by using a constrained minimization approach combined with the weak Galerkin finite element method.
Chunmei Wang, Junping Wang
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Stability-preserving model order reduction for linear stochastic Galerkin systems
Journal of Mathematics in Industry, 2019 Mathematical modeling often yields linear dynamical systems in science and engineering. We change physical parameters of the system into random variables to perform an uncertainty quantification.
Roland Pulch
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International Journal for Numerical Methods in Fluids, EarlyView.This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
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