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For application of variational methods in boundary value problems of integer or fractional differential equations with impulsive effects, please see [20 27] and the references therein.
Various experiments in comparison with state-of-the-art techniques have shown that our approach outperforms previous methods in boundary evaluation of both trivial and complicated CSG with massive faces while maintaining high robustness.
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The variational iteration method (VIM) [17 20] has been one of the often used nonlinear methods in initial boundary value problems of differential equations.
The use of adjoint operators in error estimates gives back to the classical Aubin-Nitsche L 2 -lifting method used in boundary value problems to derive discretization error estimates in L 2 norm.
A Lagrangian stochastic Monte-Carlo particle-tracking approach and the averaged Reynolds equations with a k ɛ turbulence model, with a two-layer zonal method in the boundary layer, are used for the disperse and continuous phases.
Detailed comparisons of the velocity profiles, turbulent shear stresses and higher-order turbulent statistics reveal that the low Mach correction can significantly reduce the numerical dissipation of the methods in low Mach boundary layer flows.
A two-dimensional (2D) fractal fence composed of cross-grid type fractal struts, along with an one-dimensional (1D) fractal fence, were tested using a planar particle image velocimetry (PIV) method in a boundary-layer wind tunnel.
Two numerical methods were designed to solve the time-dependent, three-dimensional, incompressible Navier-Stokes equations in boundary layers (method A, semi-infinite domain) and mixing layers or wakes (method B, fully-infinite domain).
This paper describes two strategies for the accurate computations of potential derivatives in boundary element methods.
The integrand can contain singularities like the ones typically found in boundary element methods, allowing the evaluation of both regular and singular integrals under the same programming structure.
One of the extensively popularized meshless methods in solving initial and boundary value problems is the meshless local Petrov-Galerkin (MLPG) method originating with Atluri and Zhu [26].
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