C. Carstensen et Sa. Funken, Coupling of nonconforming finite elements and boundary elements I: A priori estimates, COMPUTING, 62(3), 1999, pp. 229-241
Nonconforming finite element methods are sometimes considered as a variatio
nal crime and so we may regard its coupling with boundary element methods.
In this paper, the symmetric coupling of nonconforming finite elements and
boundary elements is established and a priori error estimates are shown. Th
e coupling involves a further continuous layer on the interface in order to
separate the nonconformity in the domain from its boundary data which are
required to be continuous. Numerical examples prove the new scheme useful i
n practice. A posteriori error control and adaptive algorithms will be stud
ied in the forthcoming Part II.