Results 11 to 20 of about 3,450,969 (293)
Higher-order finite element approximation of the dynamic Laplacian [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2020 The dynamic Laplace operator arises from extending problems of isoperimetry from fixed manifolds to manifolds evolved by general nonlinear dynamics. Eigenfunctions of this operator are used to identify and track finite-time coherent sets, which physically manifest in fluid flows as jets, vortices, and more complicated structures.
Nathanael Schilling +2 more
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A higher order triangular plate finite element using Airy functions
Advances in Mechanical Engineering, 2020 The present paper describes the formulation of a new moderately thick plate bending triangular finite element based on Mindlin–Reissner plate theory. It is called a Great Triangular Moderately Thick Plate Finite Element, or GTMTPFE.
Mohammed Himeur +2 more
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Higher-Order Hamiltonian for Circuits with (α,β) Elements
Entropy, 2020 The paper studies the construction of the Hamiltonian for circuits built from the (α,β) elements of Chua’s periodic table. It starts from the Lagrange function, whose existence is limited to Σ-circuits, i.e., circuits built exclusively from elements ...
Zdeněk Biolek +3 more
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A Higher Order B-Splines 1-D Finite Element Analysis of Lossy Dispersive Inhomogeneous Planar Layers [PDF]
AUT Journal of Electrical Engineering, 2017 In this paper we propose an accurate and fast numerical method to obtain scattering fields from lossy dispersive inhomogeneous planar layers for both TE and TM polarizations. A new method is introduced to analyze lossy Inhomogeneous Planar Layers.
A. Hatamkhani, A. Ghorbani
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IEEE Open Journal of Antennas and Propagation, 2023 Mesh division plays an important role in applications of the finite element method (FEM). The proposed research shows that under the same order, the equilateral triangular meshes have the most uniform dispersion distribution. The isosceles triangles with
Yuhua Niu +4 more
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Yantu gongcheng xuebao, 2020 An upper bound adaptive finite element method with six-node triangular high-order element, which is based on Drucker-Prager yield criterion, is established. Based on the upper bound theory, the corresponding calculation program is compiled.
SUN Rui , YANG Jun-sheng , ZHAO Yi-ding , YANG Feng
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Higher‐order MITC general shell elements [PDF]
International Journal for Numerical Methods in Engineering, 1993 AbstractTwo mixed‐interpolated general shell finite elements for non‐linear analysis‐a 9‐node element and a 16‐node element‐are presented. The elements are based on the Mixed Interpolation of Tensorial Components (MITC) approach in which the covariant strain component fields for the in‐plane and shear actions are interpolated and tied to the also ...
Bucalem, Miguel Luiz +1 more
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Parallel Matrix-Free Higher-Order Finite Element Solvers for Phase-Field Fracture Problems
Mathematical and Computational Applications, 2020 Phase-field fracture models lead to variational problems that can be written as a coupled variational equality and inequality system. Numerically, such problems can be treated with Galerkin finite elements and primal-dual active set methods. Specifically,
Daniel Jodlbauer +2 more
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k-Version of Finite Element Method for BVPs and IVPs
Mathematics, 2021 The paper presents k-version of the finite element method for boundary value problems (BVPs) and initial value problems (IVPs) in which global differentiability of approximations is always the result of the union of local approximations. The higher order
Karan S. Surana +2 more
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Higher-order finite element methods for elliptic problems with interfaces [PDF]
, 2015 We present higher-order piecewise continuous finite element methods for solving a class of interface problems in two dimensions. The method is based on correction terms added to the right-hand side in the standard variational formulation of the problem ...
Guzman, Johnny +2 more
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