Klein-Gordon equation with advection on unbounded domains using spectral elements and high-order non-reflecting boundary conditions
Loading...
Authors
Giraldo, Francis X.
Neta, Beny
Lindquist, Joseph M.
Subjects
Klein-Gordon equation
Advection
High-order
Non-reflecting boundary condition
Spectral elements
Higdon
Givoli–Neta
Runge–Kutta
Advection
High-order
Non-reflecting boundary condition
Spectral elements
Higdon
Givoli–Neta
Runge–Kutta
Advisors
Date of Issue
2010
Date
2010
Publisher
Elsevier
Language
Abstract
A reduced shallow water model under constant, non-zero advection in the infinite channel is considered. High-order (Givoli–Neta) non-reflecting boundary conditions are introduced in various configurations to create a finite computational space and solved using a spectral element formulation with high-order time integration. Numerical examples are used to demonstrate the synergy of using high-order spatial, time, and boundary discretization. We show that by balancing all numerical errors involved, high-order accuracy can be achieved for unbounded domain problems.
Type
Article
Description
Applied Mathematics and Computation, 217, (2010), 2710–2723.
The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2010.07.079
The article of record as published may be located at http://dx.doi.org/10.1016/j.amc.2010.07.079
Series/Report No
Department
Applied Mathematics
Organization
Identifiers
NPS Report Number
Sponsors
Funding
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.