Wave Finite Element Method
On numerical issues for the wave/finite element method
... Ill-conditioning occurs when the eigenvalue problem is formed and solved and the resulting errors can become large, especially for complex structures. Zhong’s method is used to improve the conditioning of the ...
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Vibration analysis of a tyre model using the wave finite element method
... the wave finite element (WFE) ...WFE method starts from a conventional finite element (FE) model of only a short section of a structure, which is uniform in one ...Existing ...
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Ultrafast Wave Finite Element Method for the computation of dispersion properties in periodic viscoelastic waveguides
... the finite element based global mass matrix and complex stiffness matrix is ...a finite length portion of the waveguide, the unit cell, are post-processed by enforc- ing Bloch-type boundary ...
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Calculation of guided wave interaction with nonlinearities and generation of harmonics in composite structures through a wave finite element method
... guided wave inspection techniques have been continuously gaining attention during the last ...elastic wave impinges on a nonlinear segment, including the generation of higher and ...each wave type ...
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Solution of Wave Equations Near Seawalls by Finite Element Method
... 2D finite element model for the solution of wave equations is ...The finite element technique is applied to solve nonlinear wave ...The finite element model ...
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The controllability for the semi discrete wave equation with a finite element method
... Full list of author information is available at the end of the article Abstract In this paper, we study the controllability problem of the semi-discrete internally controlled one-dimensional wave equation with the ...
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From Wave Mechanics to Matrix Mechanics: The Finite Element Method
... This is the general outline. The devil is in the details. So we now illustrate the workings of this method by outlining an example. 4 2D: Linear Functions The equations above show that there are a lot of integrals ...
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An optimized finite element extrapolating method for 2D viscoelastic wave equation
... This has shown that the OFEE format is feasible and efficient for solving the viscoelastic wave equation. 5 Conclusions In this article, we use the POD technique to build the OFEE format for the D viscoelastic ...
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A space-time continuous finite element method for 2D viscoelastic wave equation
... Full list of author information is available at the end of the article Abstract In this article, we establish a space-time continuous finite element (STCFE) method for viscoelastic wave equation. The ...
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Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long Time Effects
... 5. Numerical experiments. We shall now demonstrate the accuracy and use- fulness of our FE-HMM-L scheme during both finite- and long-time regimes. First, we validate the optimal convergence rates of Theorems 4.4 and 4.5 ...
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Decomposed element-free Galerkin method compared with finite-difference method for elastic wave propagation
... mechanics, there is much about mesh-free methods (Liu, 2003) to be investigated in more detail for further use. Therefore, FEM-based methodologies need to be reevaluated for future application to elastic wave ...
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Modelling wave propagation in cylinders using a wave/finite element technique
... a wave/finite element (WFE) ...conventional finite element methods, typically using a commercial ...WFE method is applied to cylindrical shells modelled using ...the wave ...
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Finite element modeling and validation of guided wave scattering
... as Finite Element (FE) modelling allow the simulation and prediction of guided wave propagation and ...mesh, element type, time step, and analysis method are required to ensure stable ...
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Finite element methods for time-harmonic wave equations
... I was fortunate to have several possibilities to discuss and to exchange ideas with other researchers. My visits to the research group of Prof. Joachim Schöberl at RWTH Aachen had a significant impact on my re- search. ...
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Novel Finite Element Methods for Wave Propagation Modeling
... Novel Finite Element Methods for Wave Propagation Modeling (Under the direction of ...of wave propagation is encountered in various engineering problems related to earthquake engineering, ...
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Guided and Direct Wave Evaluation of Controlled Source Electromagnetic Survey Using Finite Element Method
... Methodology Finite element method (FEM) was used to detect hydro- carbon below several hundred of meters from ...on finite element method (FEM) was used to simulate area of the ...
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High accuracy analysis of anisotropic finite element method for a class of nonlinear degenerate wave equation
... bilinear finite element method to a class of non-linear degenerate wave equation on anisotropic meshes is considered in this ...degenerate wave equation; anisotropic meshes supercon- ...
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SOLVING FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS BY PETROV-GALERKIN FINITE ELEMENT METHOD
... porous medium (in fractional media) can be given as one of the most significant applica- tions of fractional-order derivatives [6], and the fractional diffusion-wave equations have been proposed to deal with ...
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Finite Element Method
... simplest finite elements : the 2 nodes-bar element and the 2-nodes plane beam ...31 element is able to support forces in the element direction ...the element (area, Ixx, Iyy, Ixy, ...
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The Finite Element Method
... 3D element, but can be very time-consuming, if not impossible, to apply to complex ...distorted element will cause a matrix singularity, killing the ...distorted element may solve, but can deliver ...
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