An a posteriori error estimate for the generalized finite element method for transient heat diffusion problems
Sign Up to like & getrecommendations! Published in 2017 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5440
Abstract: Summary We propose the study of a posteriori error estimates for time–dependent generalized finite element simulations of heat transfer problems. A residual estimate is shown to provide reliable and practically useful upper bounds for the… read more here.
Keywords: finite element; generalized finite; error; estimate ... See more keywords
Generalized finite mixture of multivariate regressions with applications to therapeutic biomarker identification.
Sign Up to like & getrecommendations! Published in 2020 at "Statistics in medicine"
DOI: 10.1002/sim.8726
Abstract: Finite mixtures of regressions have been used to analyze data that come from a heterogeneous population. When more than one response is observed, accommodating a multivariate response can be useful. In this article, we go… read more here.
Keywords: mixture multivariate; generalized finite; multivariate regressions; multivariate ... See more keywords
Scale-bridging with the extended/generalized finite element method for linear elastodynamics
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DOI: 10.1007/s00466-021-02032-2
Abstract: This paper presents an extended/generalized finite element method for bridging scales in linear elastodynamics in the absence of scale separation. More precisely, the GFEMgl framework is expanded to enable the numerical solution of multiscale problems… read more here.
Keywords: generalized finite; extended generalized; finite element; element ... See more keywords
A generalized finite difference method based on the Peridynamic differential operator for the solution of problems in bounded and unbounded domains
Sign Up to like & getrecommendations! Published in 2019 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2018.08.033
Abstract: Abstract In this paper, a generalized finite difference method (GFDM) based on the Peridynamic differential operator (PDDO) is investigated. The weighted moving least square (MLS) procedure involved in the GFDM is replaced by the PDDO.… read more here.
Keywords: based peridynamic; generalized finite; difference method; method ... See more keywords
Generalized finite difference method for two-dimensional shallow water equations
Sign Up to like & getrecommendations! Published in 2017 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2017.03.012
Abstract: Abstract A novel meshless numerical scheme, based on the generalized finite difference method (GFDM), is proposed to accurately analyze the two–dimensional shallow water equations (SWEs). The SWEs are a hyperbolic system of first-order nonlinear partial… read more here.
Keywords: generalized finite; dimensional shallow; method; two dimensional ... See more keywords
A meshless generalized finite difference method for inverse Cauchy problems associated with three-dimensional inhomogeneous Helmholtz-type equations
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DOI: 10.1016/j.enganabound.2017.06.005
Abstract: Abstract The generalized finite difference method (GFDM) is a relatively new domain-type meshless method for the numerical solution of certain boundary value problems. The method involves a coupling between the Taylor series expansions and weighted… read more here.
Keywords: generalized finite; method; type; finite difference ... See more keywords
Schemes in generalized finite differences for seismic wave propagation in Kelvin–Voight viscoelastic media
Sign Up to like & getrecommendations! Published in 2018 at "Engineering Analysis With Boundary Elements"
DOI: 10.1016/j.enganabound.2018.06.017
Abstract: Abstract Seismic wave propagation in homogeneous and isotropic Kelvin–Voight viscoelastic media is dealt with the meshless generalized finite difference method. The schemes in generalized finite differences for the decoupled system P-SV and SH are obtained.… read more here.
Keywords: generalized finite; wave propagation; seismic wave; viscoelastic media ... See more keywords
Improvements to the meshless generalized finite difference method
Sign Up to like & getrecommendations! Published in 2019 at "Engineering Analysis with Boundary Elements"
DOI: 10.1016/j.enganabound.2018.11.002
Abstract: Abstract This study was dedicated to develop an improved version of meshless generalized finite difference method (GFDM) which benefits from various aspects: Present method, uses stars (group of nodes around a central node) with only… read more here.
Keywords: generalized finite; difference method; meshless generalized; method ... See more keywords
Fracture mechanics analysis of bimaterial interface cracks using the generalized finite difference method
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DOI: 10.1016/j.tafmec.2021.102942
Abstract: Abstract This paper makes the first attempt to apply the generalized finite difference method (GFDM), a recently developed meshless collocation method, for fracture mechanics analysis of dissimilar elastic materials with interfacial cracks. The main idea… read more here.
Keywords: generalized finite; difference method; method; finite difference ... See more keywords
Meshless Generalized Finite Difference Method to Analyze Electromagnetic Performance of SPM Machines With Eccentric Rotor Shape
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Industrial Electronics"
DOI: 10.1109/tie.2021.3131872
Abstract: In this article, we propose an unconventional method, i.e., generalized finite difference method (GFDM), to analyze the electromagnetic performance of surface-mounted permanent magnet (SPM) machine with eccentric rotor shape. The remarkable characteristic of this method… read more here.
Keywords: electromagnetic performance; analyze electromagnetic; spm; generalized finite ... See more keywords
A Stable Generalized Finite Element Method Coupled with Deep Neural Network for Interface Problems with Discontinuities
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DOI: 10.3390/axioms11080384
Abstract: The stable generalized finite element method (SGFEM) is an improved version of generalized or extended FEM (GFEM/XFEM), which (i) uses simple and unfitted meshes, (ii) reaches optimal convergence orders, and (iii) is stable and robust… read more here.
Keywords: stable generalized; generalized finite; element method; finite element ... See more keywords