Geodesic
The general form of local bilinear functions
Applications of Mathematics, Tome 38 (1993) no. 2, pp. 145-157

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MR Zbl
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.
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.
DOI : 10.21136/AM.1993.104541
Classification : 35A15, 35J40, 46C99, 46E30, 46E35, 65N30
Keywords: bilinear functional; bilinear form; Sobolev spaces; local bilinear functional; boundary-value problems for elliptic differential operators 
Práger, Milan. The general form of local bilinear functions. Applications of Mathematics, Tome 38 (1993) no. 2, pp. 145-157. doi: 10.21136/AM.1993.104541
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[1] V. Jarník: Differential Calculus. Publishing House of the Czech. Acad. Sci., Prague, 1953. (In Czech.)

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