A modified finite-element method for dielectric waveguides using an asymptotically correct approximation on infinite elements

1991 ◽  
Vol 39 (2) ◽  
pp. 258-266 ◽  
Author(s):  
J.A.M. Svedin
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Dielectric Waveguides ◽  
Infinite Elements ◽  
Element Method

scholarly journals Bioengineering Methods of Analysis and Medical Devices: A Current Trends and State of the Art

Materials ◽  
2020 ◽  
Vol 13 (3) ◽  
pp. 797
Author(s):  
Marco Cicciù
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mechanical Characteristics ◽  
New Technologies ◽  
Fem Analysis ◽  
Load Cycle ◽  
Anatomical Structures ◽  
Infinite Elements ◽  
Current Trends ◽  
Element Method

Implantology, prosthodontics, and orthodontics in all their variants, are medical and rehabilitative medical fields that have greatly benefited from bioengineering devices of investigation to improve the predictability of clinical rehabilitations. The finite element method involves the simulation of mechanical forces from an environment with infinite elements, to a simulation with finite elements. This editorial aims to point out all the progress made in the field of bioengineering and medicine. Instrumental investigations, such as finite element method (FEM), are an excellent tool that allows the evaluation of anatomical structures and any facilities for rehabilitation before moving on to experimentation on animals, so as to have mechanical characteristics and satisfactory load cycle testing. FEM analysis contributes substantially to the development of new technologies and new materials in the biomedical field. Thanks to the 3D technology and to the reconstructions of both the anatomical structures and eventually the alloplastic structures used in the rehabilitations it is possible to consider all the mechanical characteristics, so that they could be analyzed in detail and improved where necessary.

Transient and Time-Harmonic Infinite Elements for Near-Surface Computations of Three-Dimensional Structures Submerged in a Half-Space

1995 ◽  
Author(s):  
Loukas F. Kallivokas ◽  
Jacobo Bielak
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Half Space ◽  
Three Dimensional ◽  
Scattering Problems ◽  
Near Surface ◽  
Infinite Element ◽  
Infinite Elements ◽  
Time Harmonic ◽  
Element Method

Abstract This paper is concerned with the numerical solution by the finite element method of transient and time-harmonic three-dimensional acoustic scattering problems in infinite and semi-infinite domains. Its main objective is to illustrate how a local second-order surface-only infinite element — either transient or time-harmonic — developed recently for the three-dimensional wave equation in a full-space can be applied readily to scattering problems with penetrable objects near a planar free surface. Taking a problem in structural acoustics as a prototype, the combined infinite element-finite element method is used here to determine the total and scattered pressure patterns generated when a traveling plane wave impinges upon a structure of general geometry submerged in an acoustic fluid in half-space. One key feature of this methodology is that the ordinary differential equations that result from the spatial discretization maintain the symmetry and sparsity associated with problems defined only over interior domains; the resulting equations can then be solved by standard step-by-step time integration techniques. Thus, the combination of low bandwidth matrices with the ease of use of the infinite elements places the method in an ideal position to meet the large computational demands typically associated with large-scale underwater acoustics problems.

Wave Force Analysis by the Finite Element Method

1987 ◽  
Vol 109 (4) ◽  
pp. 320-326
Author(s):  
K. Imai ◽  
Y. Riho ◽  
T. Matsumoto ◽  
T. Takahashi ◽  
K. Bando
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Wave Force ◽  
Sufficient Accuracy ◽  
Wave Forces ◽  
The Finite Element Method ◽  
Force Analysis ◽  
Infinite Elements ◽  
Sea Area ◽  
Element Method

The finite element method is applied to determine the wave forces and wave fields for various coastal and ocean structures. Wave diffraction and radiation problems are solved by the method. A special infinite element is implemented in a computer program to model an outer infinite sea area. The employed numerical examples are for a vertical breakwater, a gravity-type ocean platform and a floating rectangular caisson. All computed results are compared with ones from experiments and other numerical methods. As a result, it is concluded that the finite element method using infinite elements can give sufficient accuracy to be applicable to most practical structures in the ocean.

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