Article
MSC:
35A15,
35J40,
46C99,
46E30,
46E35,
65N30 | MR 1202750 | Zbl 0785.46034 | DOI: 10.21136/AM.1993.104541
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Keywords:
bilinear functional; bilinear form; Sobolev spaces; local bilinear functional; boundary-value problems for elliptic differential operators
bilinear functional; bilinear form; Sobolev spaces; local bilinear functional; boundary-value problems for elliptic differential operators
Summary:
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.
References:
[1] V. Jarník: Differential Calculus. Publishing House of the Czech. Acad. Sci., Prague, 1953. (In Czech.)
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