Results 51 to 60 of about 1,498 (181)
Bounds for quantities of interest and adaptivity in the element‐free Galerkin method [PDF]
International Journal for Numerical Methods in Engineering, 2008 AbstractA novel approach to implicit residual‐type error estimation in mesh‐free methods and an adaptive refinement strategy are presented. This allows computing upper and lower bounds of the error in energy norm with the ultimate goal of obtaining bounds for outputs of interest.
Vidal Seguí, Yolanda +3 more
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley +1 more source
Element-Free Galerkin Method and Finite Element Method. Which is better?
Journal of Engineering Sciences and Innovation, 2020 "This paper is dedicated to the presentation of some qualities of a meshfree method – Element-Free Galerkin Method (EFGM) – which is few known and fewer used in Romania. In spite of a large using of the Finite Element Method (FEM), new numerical methods appeared, among these the Element-Free Galerkin Method (EFGM) is one.
VASILE NĂSTĂSESCU +2 more
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Solid Mechanics Segregated Solver Acceleration With Jacobian‐Free Newton‐Krylov
International Journal for Numerical Methods in Engineering, Volume 127, Issue 11, 15 June 2026.ABSTRACT The segregated algorithm is a common approach for finite volumes solvers in solid mechanics, providing a memory‐efficient and straightforward implementation. Due to the inter‐coupling of the components through the source terms, it suffers from a slow convergence behavior in specific scenarios, such as geometries with significantly uneven ...
Andry Monlon +5 more
wiley +1 more source
Advances in Mechanical Engineering, 2017 We present an element-free Galerkin method for electromechanical coupled fracture analysis in piezoelectric materials. Singularity terms were introduced into the approximation function of the new method to describe the displacement and electric fields ...
Xiao Lin Li, Li Ming Zhou
doaj +1 more source
Mathematical and Computational Applications, 2019 A localized radial basis function meshless method is applied to approximate a nonlinear biological population model with highly satisfactory results. The method approximates the derivatives at every point corresponding to their local support domain.
Marjan Uddin +2 more
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley +1 more source
Nonlinear Model Order Reduction on Polynomial Manifolds for Computational Homogenisation Problems
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Model order reduction (MOR) techniques utilising nonlinear approximation spaces can search for solutions to computational homogenisation problems on low‐dimensional approximation spaces. In combination with hyperreduction techniques, this allows for computations on representative volume elements (RVEs) to be accelerated by multiple orders of ...
Erik Faust, Lisa Scheunemann
wiley +1 more source
Stabilized Finite Elements for Incompressible, Stationary Navier–Stokes Flows on Manifolds
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT A surface finite element method with residual‐based stabilization for stationary Navier–Stokes flows on curved manifolds is introduced. The mixed formulation in stress‐divergence form leads to a system of equations that has a saddle‐point structure.
Michael Wolfgang Kaiser +1 more
wiley +1 more source
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.ABSTRACT Injection molding is a manufacturing process for plastic components where precise geometries and part properties, such as local strength and stiffness, are critical. The mold filling phase, during which the hot molten polymer is rapidly injected into the cooled mold cavity, presents significant simulation challenges due to steep temperature ...
Blanca Ferrer Fabón +3 more
wiley +1 more source