TY - JOUR
T1 - A note on the de Rham complex and a discrete compactness property
AU - Boffi, D.
N1 - Generated from Scopus record by KAUST IRTS on 2020-05-05
PY - 2001/1/1
Y1 - 2001/1/1
N2 - The aim of this paper is to review the mathematical analysis of the eigenvalue problem associated with the Maxwell's system. Our analysis is quite general and can be applied to several families of edge finite element methods. Moreover, we discuss the links between different conditions that guarantee the good approximations of the eigensolutions. In particular, we prove that the commutativity of the deRham complex implies the discrete compactness introduced by Kikuchi in [1]. © 2000 Elsevier Science Ltd. All rights reserved.
AB - The aim of this paper is to review the mathematical analysis of the eigenvalue problem associated with the Maxwell's system. Our analysis is quite general and can be applied to several families of edge finite element methods. Moreover, we discuss the links between different conditions that guarantee the good approximations of the eigensolutions. In particular, we prove that the commutativity of the deRham complex implies the discrete compactness introduced by Kikuchi in [1]. © 2000 Elsevier Science Ltd. All rights reserved.
UR - https://linkinghub.elsevier.com/retrieve/pii/S0893965900001087
UR - http://www.scopus.com/inward/record.url?scp=0003093017&partnerID=8YFLogxK
U2 - 10.1016/S0893-9659(00)00108-7
DO - 10.1016/S0893-9659(00)00108-7
M3 - Article
SN - 0893-9659
VL - 14
SP - 33
EP - 38
JO - Applied Mathematics Letters
JF - Applied Mathematics Letters
IS - 1
ER -