Results 11 to 20 of about 1,278 (268)
Variational nodal transport methods for hexagonal and three-dimensional geometries [PDF]
, 1992 The properties of the variational nodal method for neutron transport calculations are investigated. The method is generalized for three-dimensional multigroup criticality problems in both hexagonal-z and Cartesian geometries. The method is implemented as part of the Argonne National Laboratory Code DIF3D, and applied to a series of benchmark reactor ...
Lewis, E. E.
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Constant Sign and Nodal Solutions for Problems with the p-Laplacian and a Nonsmooth Potential Using Variational Techniques [PDF]
Boundary Value Problems, 2009 We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Ravi P. Agarwal +3 more
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A variational nodal formulation for multi-dimensional unstructured neutron diffusion problems
Nuclear Engineering and Technology, 2023 A variational nodal method (VNM) with unstructured-mesh is presented for solving steady-state and dynamic neutron diffusion equations. Orthogonal polynomials are employed for spatial discretization, and the stiffness confinement method (SCM) is ...
Qizheng Sun +5 more
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A stable implicit nodal integration-based particle finite element method (N-PFEM) for modelling saturated soil dynamics [PDF]
Journal of Rock Mechanics and Geotechnical EngineeringIn this study, we present a novel nodal integration-based particle finite element method (N-PFEM) designed for the dynamic analysis of saturated soils.
Liang Wang +3 more
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Computer Methods in Applied Mechanics and EngineeringThis paper focuses on the numerical solution of elliptic partial differential equations (PDEs) with Dirichlet and mixed boundary conditions, specifically addressing the challenges arising from irregular domains. Both finite element method (FEM) and finite difference method (FDM), face difficulties in dealing with arbitrary domains. The paper introduces
Astuto C. +3 more
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The Optimal Transportation Method in Solid Mechanics [PDF]
, 2009 This dissertation is concerned with the development of a robust and efficient meshless method, the Optimal Transportation Method (OTM), for general solid flows involving extremely large deformation, fast, transient loading and hydrodynamic phenomena ...
Li, Bo
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Sign-changing solutions for fourth-order elliptic equations of Kirchhoff type with critical exponent
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the existence of ground state sign-changing solutions for the following fourth-order elliptic equations of Kirchhoff type with critical exponent. More precisely, we consider \begin{equation*} \begin{cases} \Delta^2u - \left(1 +
Sihua Liang, Binlin Zhang
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Discrete Mechanical Interpolation of Keyframes [PDF]
, 2008 Advances in computer hardware and software have made it possible to use physical simulation methods to add unprecedented degrees of realism to computer animations.
Yang, Weiwei
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Localized nodal solutions for parameter-dependent quasilinear Schrodinger equations
Electronic Journal of Differential Equations, 2021 In this article, we apply a new variational perturbation method to study the existence of localized nodal solutions for parameter-dependent semiclassical quasilinear Schrodinger equations, under a certain parametric conditions.
Rui He, Xiangqing Liu
doaj
Review on finite element method
Journal of Applied Sciences and Environmental Management, 2017 In this work, we have discussed what Finite Element Method (FEM) is, its historical development, advantages and its future. The eventual intension of using FEM is to determine the nodal solution of a particular problem under study.
I.D. Erhunmwun, U.B. Ikponmwosa
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