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Applied element method information


The applied element method (AEM) is a numerical analysis used in predicting the continuum and discrete behavior of structures. The modeling method in AEM adopts the concept of discrete cracking allowing it to automatically track structural collapse behavior passing through all stages of loading: elastic, crack initiation and propagation in tension-weak materials, reinforcement yield, element separation, element contact and collision, as well as collision with the ground and adjacent structures.

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Applied element method

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The applied element method (AEM) is a numerical analysis used in predicting the continuum and discrete behavior of structures. The modeling method in AEM...

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Finite element method

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The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical...

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Boundary element method

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The boundary element method (BEM) is a numerical computational method of solving linear partial differential equations which have been formulated as integral...

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Spectral element method

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equations, a topic in mathematics, the spectral element method (SEM) is a formulation of the finite element method (FEM) that uses high-degree piecewise polynomials...

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Infinite element method

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infinite element method is a numerical method for solving problems of engineering and mathematical physics. It is a modification of finite element method. The...

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Discrete element method

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A discrete element method (DEM), also called a distinct element method, is any of a family of numerical methods for computing the motion and effect of...

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Galerkin method

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element method, the boundary element method for solving integral equations, Krylov subspace methods. We first introduce and illustrate the Galerkin method as...

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Smoothed finite element method

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Smoothed finite element methods (S-FEM) are a particular class of numerical simulation algorithms for the simulation of physical phenomena. It was developed...

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Numerical methods for partial differential equations

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Multigrid methods can be applied in combination with any of the common discretization techniques. For example, the finite element method may be recast...

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List of numerical analysis topics

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Interval finite element Applied element method — for simulation of cracks and structural collapse Wood–Armer method — structural analysis method based on finite...

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Progressive collapse

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the columns, and bracing members designed to carry gravity loads. Applied element method Extreme Loading for Structures Structural robustness Cascading failure...

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Superconvergence

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supraconvergent method is one which converges faster than generally expected (superconvergence or supraconvergence). For example, in the Finite Element Method approximation...

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Finite element method in structural mechanics

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The finite element method (FEM) is a powerful technique originally developed for numerical solution of complex problems in structural mechanics, and it...

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Mixed finite element method

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In numerical analysis, the mixed finite element method, is a type of finite element method in which extra fields to be solved are introduced during the...

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Computational fluid dynamics

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Discrete element method Finite element method Finite volume method for unsteady flow Fluid animation Immersed boundary method Lattice Boltzmann methods List...

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Seismic analysis

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scenarios. This has led to the emergence of methods like the incremental dynamic analysis. Applied element method Earthquake simulation Extreme Loading for...

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Analytic element method

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The analytic element method (AEM) is a numerical method used for the solution of partial differential equations. It was initially developed by O.D.L. Strack...

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Applied mathematics

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Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business,...

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Discontinuous Galerkin method

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In applied mathematics, discontinuous Galerkin methods (DG methods) form a class of numerical methods for solving differential equations. They combine...

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Statistics

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doing regression. Least squares applied to linear regression is called ordinary least squares method and least squares applied to nonlinear regression is called...

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Interval boundary element method

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Interval boundary element method is classical boundary element method with the interval parameters. Boundary element method is based on the following...

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AEM

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of the Explorer program Applied and Environmental Microbiology, a scientific research journal Applied element method, a method of structural analysis Atlantic...

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Euler method

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In mathematics and computational science, the Euler method (also called the forward Euler method) is a first-order numerical procedure for solving ordinary...

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Multigrid method

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Multigrid methods can be applied in combination with any of the common discretization techniques. For example, the finite element method may be recast...

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Extreme Loading for Structures

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software based on the applied element method (AEM) for the automatic tracking and propagation of cracks, separation of elements, element collision, and collapse...

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Trefftz method

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(1888–1937). It falls within the class of finite element methods. The hybrid Trefftz finite-element method has been considerably advanced since its introduction...

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Finite difference method

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common approaches to the numerical solution of PDE, along with finite element methods. For a n-times differentiable function, by Taylor's theorem the Taylor...

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Delta method

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where hr is the rth element of h(B) and Bi is the ith element of B. When g′(θ) = 0 the delta method cannot be applied. However, if g′′(θ) exists...

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Charge based boundary element fast multipole method

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The charge-based formulation of the boundary element method (BEM) is a dimensionality reduction numerical technique that is used to model quasistatic electromagnetic...

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