Please use this identifier to cite or link to this item: http://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: http://hdl.handle.net/10316/45375
Other Identifiers: 10.1016/j.apnum.2017.05.005
DOI: 10.1016/j.apnum.2017.05.005
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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