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.
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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
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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
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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
Application of meshless generalized finite difference method (GFDM) in single-phase coupled heat and mass transfer problem in three-dimensional porous media
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DOI: 10.1063/5.0211014
Abstract: This paper achieves effective and precise meshless modeling of three-dimensional (3D) single-phase coupled heat and mass transfer problems based on the generalized finite difference method (GFDM). It utilizes the Taylor formula and the weighted least… read more here.
Keywords: gfdm; heat; generalized finite; finite difference ... See more keywords
Analysis of reflective cracking in asphalt overlaid jointed concrete airfield pavements using a 3D generalized finite element approach
Sign Up to like & getrecommendations! Published in 2024 at "International Journal of Pavement Engineering"
DOI: 10.1080/10298436.2024.2346291
Abstract: ABSTRACT Asphalt Concrete (AC) overlays are a common strategy for maintaining PCC airfield pavements. However, the movement of joints in the underlying pavement may lead to reflective cracks propagating to the overlay. The problem is… read more here.
Keywords: airfield pavements; finite element; reflective cracking; generalized finite ... See more keywords