Discrete Energy Conservation Law and Reciprocity Relationship for One-Dimensional Wave

Problems, P.P.ProblemsChen, C.H.C.H.ChenLien, C.-D.C.-D.LienYEAN-WOEI KIANG2020-06-112020-06-111982https://scholars.lib.ntu.edu.tw/handle/123456789/497884A mathematical derivation is presented to establish the discrete energy conservation law and reciprocity relationship for explaining the insensitive phenomenon found in the previous investigations of a one-dimensional wave propagation problem. It is shown that there do exist certain discretized differential and variational systems which can preserve the energy conservation and reciprocity relationships. This then excludes the use of these relationships in error estimation. Copyright © 1982 by The Institute of Electrical and Electronics Engineers, Inc.[SDGs]SDG7MATHEMATICAL MODELS; ELECTROMAGNETIC WAVESDiscrete Energy Conservation Law and Reciprocity Relationship for One-Dimensional Wavejournal article10.1109/TAP.1982.11428062-s2.0-0020128082https://www.scopus.com/inward/record.uri?eid=2-s2.0-0020128082&doi=10.1109%2fTAP.1982.1142806&partnerID=40&md5=3ac4892b237532e1e91b9f2370988ec3