The general form of local bilinear functions

Práger, Milan. "The general form of local bilinear functions." Applications of Mathematics 38.2 (1993): 145-157. <http://eudml.org/doc/15742>.

@article{Práger1993,
abstract = {The scalar product of the FEM basis functions with non-intersecting supports vanishes. This property is generalized and the concept of local bilinear functional in a Hilbert space is introduced. The general form of such functionals in the spaces $L_2(a,b)$ and $H^1(a,b)$ is given.},
author = {Práger, Milan},
journal = {Applications of Mathematics},
keywords = {bilinear functional; bilinear form; Sobolev spaces; local bilinear functional; boundary-value problems for elliptic differential operators; local bilinear functional; boundary-value problems for elliptic differential operators},
language = {eng},
number = {2},
pages = {145-157},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The general form of local bilinear functions},
url = {http://eudml.org/doc/15742},
volume = {38},
year = {1993},
}

TY - JOUR
AU - Práger, Milan
TI - The general form of local bilinear functions
JO - Applications of Mathematics
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 2
SP - 145
EP - 157
AB - The scalar product of the FEM basis functions with non-intersecting supports vanishes. This property is generalized and the concept of local bilinear functional in a Hilbert space is introduced. The general form of such functionals in the spaces $L_2(a,b)$ and $H^1(a,b)$ is given.
LA - eng
KW - bilinear functional; bilinear form; Sobolev spaces; local bilinear functional; boundary-value problems for elliptic differential operators; local bilinear functional; boundary-value problems for elliptic differential operators
UR - http://eudml.org/doc/15742
ER -