Recent advances in the DtN FE method

D Givoli - Archives of Computational Methods in Engineering, 1999 - Springer
Summary The Dirichlet-to-Neumann (DtN) Finite Element Method is a general technique for
the solution of problems in unbounded domains, which arise in many fields of application. Its …

[图书][B] Parabolic equation methods for electromagnetic wave propagation

M Levy - 2000 - books.google.com
This book is the first to present the application of parabolic equation methods in
electromagnetic wave propagation. These powerful numerical techniques have become the …

Exact representations on artificial interfaces and applications in mechanics

D Givoli - 1999 - asmedigitalcollection.asme.org
In various areas of applied mechanics, there are instances where it is necessary or
beneficial to represent the behavior of a mechanical system on an artificial boundary, or …

[PDF][PDF] Perfectly matched absorbing layers for the paraxial equations

F Collino - 1996 - inria.hal.science
Perfectly Matched Absorbing Layers for the Paraxial Equations Page 1 HAL Id: inria-00073734
https://inria.hal.science/inria-00073734 Submitted on 24 May 2006 HAL is a multi-disciplinary …

Parabolic equation development in the twentieth century

D Lee, AD Pierce, EC Shang - Journal of Computational Acoustics, 2000 - World Scientific
In the 20th century, an important contribution to the modeling of wave propagation prediction
is the Parabolic Equation (PE) approximation method. This did not happen until the last …

Dirichlet-to-Neumann maps for unbounded wave guides

I Harari, I Patlashenko, D Givoli - Journal of Computational Physics, 1998 - Elsevier
Dirichlet-to-Neumann (DtN) boundary conditions for unbounded wave guides in two and
three dimensions are derived and analyzed, defining problems that are suitable for finite …

Application of the parabolic wave equation to X-ray diffraction optics

YV Kopylov, AV Popov, AV Vinogradov - Optics Communications, 1995 - Elsevier
A new computational approach is suggested to the analysis of imaging properties of realistic
X-ray Fresnel zone plates with high aspect ratio. Its mathematical basis is the parabolic …

Wide-angle mode parabolic equations for the modelling of horizontal refraction in underwater acoustics and their numerical solution on unbounded domains

PS Petrov, M Ehrhardt, AG Tyshchenko… - Journal of Sound and …, 2020 - Elsevier
The modelling of sound propagation in the ocean by the solution of mode parabolic
equations is discussed. Mode parabolic equations can be obtained as the one-way …

Parabolic equation development in recent decade

D Lee, AD Pierce - Journal of Computational Acoustics, 1995 - World Scientific
Numerous contributions have been made in the enhancement of the Parabolic Equation
(PE) approximation method, which has been shown to be a useful tool for solving realistic …

Nonlocal boundary conditions for split-step padé approximations of the helmholtz equation with modified refractive index

MS Lytaev - IEEE antennas and wireless propagation letters, 2018 - ieeexplore.ieee.org
This research is concerned with the numerical methods for the electromagnetic wave
propagation over the Earth's surface. Discrete nonlocal boundary conditions for the Padé …