TY - JOUR
T1 - The effect of quadrature rules on finite element solutions of Maxwell variational problems
T2 - Consistency estimates on meshes with straight and curved elements
AU - Aylwin, Rubén
AU - Jerez-Hanckes, Carlos
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE part of Springer Nature.
PY - 2021/4
Y1 - 2021/4
N2 - We study the effects of numerical quadrature rules on error convergence rates when solving Maxwell-type variational problems via the curl-conforming or edge finite element method. A complete a priori error analysis for the case of bounded polygonal and curved domains with non-homogeneous coefficients is provided. We detail sufficient conditions with respect to mesh refinement and precision for the quadrature rules so as to guarantee convergence rates following that of exact numerical integration. On curved domains, we isolate the error contribution of numerical quadrature rules.
AB - We study the effects of numerical quadrature rules on error convergence rates when solving Maxwell-type variational problems via the curl-conforming or edge finite element method. A complete a priori error analysis for the case of bounded polygonal and curved domains with non-homogeneous coefficients is provided. We detail sufficient conditions with respect to mesh refinement and precision for the quadrature rules so as to guarantee convergence rates following that of exact numerical integration. On curved domains, we isolate the error contribution of numerical quadrature rules.
UR - http://www.scopus.com/inward/record.url?scp=85101687838&partnerID=8YFLogxK
U2 - 10.1007/s00211-021-01186-8
DO - 10.1007/s00211-021-01186-8
M3 - Article
AN - SCOPUS:85101687838
SN - 0029-599X
VL - 147
SP - 903
EP - 936
JO - Numerische Mathematik
JF - Numerische Mathematik
IS - 4
ER -