Modeling elastic wave propagation in fluid-filled boreholes drilled in nonhomogeneous media: BEM – MLPG versus BEM-FEM coupling [PDF]
, 2017 The efficiency of two coupling formulations, the boundary element method (BEM)-meshless local Petrov–Galerkin (MLPG) versus the BEM-finite element method (FEM), used to simulate the elastic wave propagation in fluid-filled boreholes generated by a blast ...
Antonio, J. +6 more
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Object Oriented Approach to Consistent Implementation of Meshless and Classical FEM [PDF]
Journal of Systemics, Cybernetics and Informatics, 2006 Numerical experiments show that the full potential of the Finite Element Method (FEM) can be exploited by combination of classical with meshless FEM. A class structure for flexible consistent implementation of both methods is presented. Fully automatized
Albert Seidl, Thomas Schmidt
doaj
The collocation and meshless methods for differential equations in R(2)
, 2007 In recent years, meshless methods have become popular ones to solve differential equations. In this thesis, we aim at solving differential equations by using Radial Basis Functions, collocation methods and fundamental solutions (MFS).
Jarjees, Thamira Abid
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A Localized Meshless Technique for Generating 3-D Wind Fields
Computation, 2018 A localized meshless method is used to simulate 3-D atmospheric wind fields for wind energy assessment and emergency response. The meshless (or mesh-free) method with radial basis functions (RBFs) alleviates the need to create a mesh required by finite ...
Darrell W. Pepper, Maria Ramos Gonzalez
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Laminated Beam Analysis by Polynomial, rigonometric, Exponential and Zig-Zag Theories [PDF]
, 2013 A number of refined beam theories are discussed in this paper. These theories were obtained by expanding the unknown displacement variables over the beam section axes by adopting Taylor's polynomials, trigonometric series, exponential, hyperbolic and zig ...
Carrera, Erasmo +2 more
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Addressing Integration Error for Polygonal Finite Elements Through Polynomial Projections: A Patch Test Connection [PDF]
, 2013 Polygonal finite elements generally do not pass the patch test as a result of quadrature error in the evaluation of weak form integrals. In this work, we examine the consequences of lack of polynomial consistency and show that it can lead to a ...
Paulino, Glaucio H., Talischi, Cameron
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Computer Assisted Methods in Engineering and Science, 2017 An efficient, global meshless method has been developed for creating 3-D wind fields utilizing sparse meteorological tower data. Meshless methods do not require the need for a mesh in order to connect node points.
Darrell W. Pepper +2 more
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Localized boundary-domain integral formulations for problems with variable coefficients [PDF]
, 2002 Specially constructed localized parametrixes are used in this paper instead of a fundamental solution to reduce a boundary value problem with variable coefficients to a localized boundary-domain integral or integro-differential equation (LBDIE or LBDIDE).
Mikhailov, SE
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Meshless simulation of dam break using MLPG-RBF and shallow water equations
MATEC Web of Conferences, 2017 This article focuses on the application of the meshless local Petrov-Galerkin (MLPG) method to solve the shallow water equations (SWE). This localized approach is based on the meshless weak formulation with the use of radial-basis functions (RBF) as the ...
Mužík Juraj, Holičková Martina
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Meshless Analysis of Nonlocal Boundary Value Problems in Anisotropic and Inhomogeneous Media
Mathematics, 2020 In this work, meshless methods based on a radial basis function (RBF) are applied for the solution of two-dimensional steady-state heat conduction problems with nonlocal multi-point boundary conditions (NMBC).
Zaheer-ud-Din +5 more
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