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High-Accuracy Finite Element Method: Benchmark Calculations
EPJ Web of Conferences, 2018 We describe a new high-accuracy finite element scheme with simplex elements for solving the elliptic boundary-value problems and show its efficiency on benchmark solutions of the Helmholtz equation for the triangle membrane and hypercube.
Gusev Alexander +7 more
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Nihon Kikai Gakkai ronbunshu, 2016 This paper presents a novel Formulated Alpha FEM with deviatoric / volumetric split, which is combination of standard FEM and Node-based Smoothed FEM (NS-FEM), to compute highly accurate deformation in mechanical problems using tetrahedral elements.
Masaki FUJIKAWA +5 more
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Evaluation of Fracture Parameters by Coupling the Edge-Based Smoothed Finite Element Method and the Scaled Boundary Finite Element Method [PDF]
Journal of Applied and Computational Mechanics, 2019 This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM).
M. Surendran +2 more
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Computation accuracies of boundary element method and finite element method in transient eddy current analysis [PDF]
, 1988 The computation accuracies of the boundary-element method (BEM) and finite-element method (FEM) in transient eddy-current problems are compared by using a slot-embedded conductor model and a diffusion model that can be solved theoretically. For computing
Misaki, T. +3 more
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Quantum-assisted hλ-adaptive finite element method
Partial Differential Equations in Applied MathematicsQuantum computing is a rapidly advancing field, driven by the potential advantages derived from the unique properties of quantum entanglement. In particular, the exponential speedup of certain carefully designed algorithms, compared to their classical ...
R.H. Drebotiy, H.A. Shynkarenko
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FINITE ELEMENT METHOD FOR INCOMPRESSIBLE VISCOELASTIC MATERIALS
Journal of Engineering, 2011 A numerical method (F.E.)was derived for incompressible viscoelastic materials, the aging and environmental phenomena especially the temperature effect was considered in this method.
Montadher A. Muhammed
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The Boundary Element Method Versus The Finite Element Method For Solving Two-Dimensional Continuum Problems [PDF]
Engineering and Technology Journal, 2007 Stress analysis problems in geomechanics are ideally suited to the method of boundaryelements, as this technique usually requires a very small number of nodes bycomparison to finite elements.
Omar al–Damluji, Mohammed Fattah
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Advanced Finite Element Method for Nano-Resonators
, 2006 Miniaturized optical resonators with spatial dimensions of the order of the wavelength of the trapped light offer prospects for a variety of new applications like quantum processing or construction of meta-materials. Light propagation in these structures
Burger, S. +3 more
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Membrane finite element method for simulating fluid flow in porous medium
Water Science and Engineering, 2009 A new membrane finite element method for modeling fluid flow in a porous medium is presented in order to quickly and accurately simulate the geo-membrane fabric used in civil engineering.
Mei-li Zhan +4 more
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, 2013 In this paper we present PDE and finite element analyses for a system of partial differential equations (PDEs) consisting of the Darcy equation and the Cahn-Hilliard equation, which arises as a diffuse interface model for the two phase Hele-Shaw flow. We
G., Steven Wise, Xiaobing Feng
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