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Showing 1 to 13 of 13 for “"Element Free Galerkin"”.
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Application of the Element Free Galerkin Method to elastic rods
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Civil and Environmental Engineering, 2000.
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Simulating large deformation processes using an explicit element-free Galerkin method: with applications to material forming
… the water and soft drinks industry. The finite element method is frequently used to simulate this process, to reduce the economic cost of bottle design and optimise for minimum material use. Despite its ubiquitous adoption, several issues are often encountered in finite element simulations, …
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Meshless methods: theory and application in 3D fracture modelling with level sets
… framework for 3D fracture modelling using the element-free Galerkin method and the level set method. The former contributes to some fundamental issues related to accuracy and error control in meshless methods needing to be addressed for fracture modelling developed later namely, the modified …
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A Proper Orthogonal Decomposition-based inverse material parameter optimization method with applications to cardiac mechanics
… is obtained using an in-house code based on the element-free Galerkin method, which is assumed to be the exact solution. The results obtained from this novel calibration method demonstrate that PODI provides the means to drastically reduce computation time but at the same time maintain a similar …
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Aplicación de Métodos Meshless al Análisis de Problemas de Autovalores
… entre ellos, deduciéndose que el método Element-Free Galerkin Method [Método Galerkin Sin Elementos] (EFGM) es representativo de un amplio grupo de los mismos. Por ello se ha empleado como referencia en este análisis. Muchas de las fuentes de error de un método sin malla provienen de su …
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Estudio de dos metodos sin malla para la resolucion de ecuaciones elipticas
… numéricos, sobre todo frente al método de elementos finitos. Sin embargo son muchos los autores que han seguido confiando en el desarrollo del método de diferencias finitas a pesar de sus aparentes limitaciones y que han propuesto diferentes soluciones para poder aplicar las diferencias …
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Biological tissue mechanics with fibres modelled as one dimensional Cosserat continua: applications to cardiac tissue in healthy and diseased states
… Moreover, the additional degrees of freedom in the kinematic description allow for more complex, realistic deformations. The assumed hyperelastic material behaviour of myocardial tissue is represented by a nonlinear strain energy function which includes the contributions linked to the …
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NOVEL NUMERICAL PROCEDURES FOR LIMIT ANALYSIS OF STRUCTURES: MESH-FREE METHODS AND MATHEMATICAL PROGRAMMING
… limit analysis procedure. In this research, the Element-Free Galerkin (EFG) discretisation strategy is used to approximate the displacement and moment fields in plate and slab problems, and second-order cone programming (SOCP) is used to solve the resulting discretised formulations. A numerical …
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Local maximum entropy approximation-based modelling of the canine heart
… Least Square method (MLS) which is used in the Element Free Galerkin method (EFG). The method is based on a convex optimisation scheme where a non-linear equation is solved with the help of a Newton algorithm, implemented in an in-house code called SESKA. In this study, the aim is to compare LME …
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Growth, modelling and remodelling of cardiac tissue: a multiphase approach
… mechanics toolbox SESKA which supports finite element as well as Element- free Galerkin-based approximations. This investigation considers the passive and active non-linear elastic material behaviour of the myocardium of the left ventricle coupled with porous media theory, along with an an …
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Simulaciones numéricas mediante métodos con y sin malla : estimación de error y aplicaciones
… hoy día en los métodos de diferencias finitas, elementos finitos y volúmenes finitos. Para entender en que consisten los métodos y por tanto el trabajo realizado hasta la fecha con ellos, es necesario abordar las bases en las que se apoyan. Por eso, en esta Tesis como primera aportación se ha …
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Vibration and Buckling Analysis of Unitized Structure Using Meshfree Method and Kriging Model
The Element Free Galerkin (EFG) method, which is based on the Moving Least Squares (MLS) approximation, is developed here for vibration, buckling and static analysis of homogenous and FGM plate with curvilinear stiffeners. Numerical results for different stiffeners configurations and boundary …
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Proper orthogonal decomposition with interpolation-based real-time modelling of the heart
… heartbeat. However, within the context of the Galerkin method, those simulations require high computational demand, ranging from 16 - 200 CPUs, and long calculation time, lasting from 1 h - 50 h. To solve this problem, this research proposes to make use of a Reduced Order Method (ROM) called …