Index Catalog // ScholarsArchive@OSU

The Variable Speed Wave Equation and Perfectly Matched Layers

Creator:: Kim, Dojin
Abstract:: A perfectly matched layer (PML) is widely used to model many different types of wave propagation in different media. It has been found that a PML is often very effective and also easy to set, but still many questions remain. We introduce a new formulation from regularizing the classical Un-Split...
Resource Type:: Dissertation
Full Text:: Doctor of Philosophy in Mathematics presented on June 4, 2015. Title: The Variable Speed Wave Equation

Fractal solutions to the long wave equations

Creator:: Ajiwibowo, Harman
Abstract:: The fractal dimension of measured ocean wave profiles is found to be in the range of 1.5-1.8. This non-integer dimension indicates the fractal nature of the waves. Standard formulations to analyze waves are based on a differential approach. Since fractals are non-differentiable, this formulation fails for waves with fractal characteristics....
Resource Type:: Dissertation
Full Text:: the fractal dimension with the nonlinearity of the waves suggests using a nonlinear wave equation. We

An analysis of accuracy of finite difference and finite element methods for the wave equation

Creator:: Minei, Marvin
Abstract:: In this paper, Fourier analysis is used to investigate various approximation methods for the one- and two-dimensional wave equations. The spatial derivatives are approximated by the second order centered finite difference method, the linear and quadratic finite element methods, and the fourth order centered finite difference method. The approximation schemes...
Resource Type:: Masters Thesis
Full Text:: element methods for the wave equation AN ABSTRACT OF THE THESIS OF Marvin Minei for the degree of

A study of the wave equation for the dipole

Creator:: Andrews, Alfred W.
Resource Type:: Masters Thesis
Full Text:: A study of the wave equation for the dipole A STUDY 0F

A nonlinear shallow water wave equation and its classical solutions of the cauchy problem

Creator:: Crow, John A.
Abstract:: A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves over a variable topography. As the usual assumptions of a perfect fluid and an irrotational flow are not made, the resulting model equation is dissipative due to the presence of a viscous boundary layer at...
Resource Type:: Dissertation
Full Text:: . Guenther A nonlinear wave equation is developed, modeling the evolution in time of shallow water waves

Static and Wave Equation Analyses and Development of Region-specific Resistance Factors for Driven Piles

Creator:: Bougataya, Youssef
Abstract:: This study uses an existing database of dynamic loading tests of driven piles installed in the Puget Sound Lowlands to improve the reliability of axial performance. First, the unit shaft resistances developed from stress wave signal matching to dynamic records of pile installation are used to develop an effective stress-based...
Resource Type:: Masters Thesis
Full Text:: presented on June 16, 2016. Title: Static and Wave Equation Analyses and Development of Region-specific

Dispersion reducing methods for edge discretizations of the electric vector wave equation

Creator:: Bokil, V. A., Gibson, N. L., Gyrya, V., and McGregor, D. A.
Abstract:: We present a novel strategy for minimizing the numerical dispersion error in edge discretizations of the time-domain electric vector wave equation on square meshes based on the mimetic finite difference (MFD) method. We compare this strategy, called M-adaptation, to two other discretizations, also based on square meshes. One is the...
Resource Type:: Article
Full Text:: discretizations of the electric vector wave equation Dispersion reducing methods for edge discretizations of the

Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation

Creator:: Kim, Daewook, Kim, Dojin, Hong, Keum-Shik, and Jung, Il Hyo
Abstract:: The first objective of this paper is to prove the existence and uniqueness of global solutions for a Kirchhoff-type wave equation with nonlinear dissipation of the form Kuⁿ + 𝑀(|𝐴¹/²𝑢|²)𝐴𝑢 + 𝑔(𝑢')=0 under suitable assumptions on 𝐾, 𝐴, 𝑀(⋅), and 𝑔(⋅). Next, we under some growth conditions on the nonlinear...
Resource Type:: Article
Full Text:: -Type Wave Equation with Nonlinear Dissipation Global Existence and Energy Decay Rates for a Kirchhoff

The Stueckelberg wave equation and the anomalous magnetic moment of the electron

Creator:: Bennett, A. F.
Abstract:: he parametrized relativistic quantum mechanics of Stueckelberg [Helv. Phys. Acta 15, 23 (1942)] represents time as an operator, and has been shown elsewhere to yield the recently observed phenomena of quantum interference in time, quantum diffraction in time and quantum entanglement in time. The Stueckelberg wave equation as extended to...
Resource Type:: Article
Full Text:: Stu_Anom_Rev.dvi The Stueckelberg wave equation and the

On an integral equation occuring in the theory of wave propagation

Creator:: Weingarten, Fred Wesley
Resource Type:: Masters Thesis
Full Text:: AN INTEGRAL EQUATION OCCURRING IN THE THEORY OF WAVE PROPAGATION Abstract approved (Major professor

ScholarsArchive@OSU

The Variable Speed Wave Equation and Perfectly Matched Layers

Fractal solutions to the long wave equations

An analysis of accuracy of finite difference and finite element methods for the wave equation

A study of the wave equation for the dipole

A nonlinear shallow water wave equation and its classical solutions of the cauchy problem

Static and Wave Equation Analyses and Development of Region-specific Resistance Factors for Driven Piles

Dispersion reducing methods for edge discretizations of the electric vector wave equation

Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation

The Stueckelberg wave equation and the anomalous magnetic moment of the electron

On an integral equation occuring in the theory of wave propagation

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