Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/45375
Title: | Second order approximations for kinetic and potential energies in Maxwell's wave equations | Authors: | Ferreira, José Augusto Jordão, Daniela Pinto, Luís |
Issue Date: | 2017 | Publisher: | Elsevier | Project: | info:eu-repo/grantAgreement/FCT/5876/147205/PT | Serial title, monograph or event: | Applied Numerical Mathematics | Volume: | 120 | Abstract: | In this paper we propose a numerical scheme for wave type equations with damping and space variable coefficients. Relevant equations of this kind arise for instance in the context of Maxwell's equations, namely, the electric potential equation and the electric field equation. The main motivation to study such class of equations is the crucial role played by the electric potential or the electric field in enhanced drug delivery applications. Our numerical method is based on piecewise linear finite element approximation and it can be regarded as a finite difference method based on non-uniform partitions of the spatial domain. We show that the proposed method leads to second order convergence, in time and space, for the kinetic and potential energies with respect to a discrete L^2-norm. | URI: | https://hdl.handle.net/10316/45375 | DOI: | 10.1016/j.apnum.2017.05.005 10.1016/j.apnum.2017.05.005 |
Rights: | embargoedAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
paper_wave_new_13_07-2.pdf | 789.39 kB | Adobe PDF | View/Open |
SCOPUSTM
Citations
5
checked on Oct 7, 2024
WEB OF SCIENCETM
Citations
10
5
checked on Oct 2, 2024
Page view(s)
342
checked on Oct 8, 2024
Download(s)
257
checked on Oct 8, 2024
Google ScholarTM
Check
Altmetric
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.