Yabuki, "Electronically tunable current-mode universal

biquadratic filter using CCCDBAs," in Proc.

The shape functions [[phi].sub.i] for

biquadratic element with node numbering shown in Figure 1(c) are defined as

This is different from the EnergyPlus model, which uses a

biquadratic curve fit to represent the data.

The advantage of this tool is able to find the limit values, not to aggravate or solve solutions of

biquadratic equations.

Structure is universal and therefore we can obtain all

biquadratic filtering responses.

In a preliminary study, the interpolation with

biquadratic velocity and bilinear pressure was used.

Within each element the velocity is interpolated by a

biquadratic (9 nodes) function while the pressure is interpolated by a bilinear (4 nodes) function.

This results in a

biquadratic equation, that may be transformed into a simple quadratic one by making the following changes: [x.sup.2] = y, [Mathematical Expression Omitted], [Mathematical Expression Omitted], [g.sub.c] = g, and [x.sub.c] = f, Thus, we are left with

A mesh of

biquadratic Langrangian elements of the sort used in the Hele-Shaw analysis is shown in Fig.

These are of the [P.sup.2] - [C.sup.0] and [P.sup.1]-[C.sup.0] or

biquadratic and bilinear type for the velocity and pressure, respectively.

The mathematical model is implemented using a Lagrangian finite element formulation; the pipe cross section is represented by a mesh of

biquadratic isoparametric elements, which can be thought of as embedded in the material, and which thus deforms as the sag flow occurs.

The computational domain is discretized into a finite element mesh using

biquadratic rectangular elements.

All variable are expanded in terms of

biquadratic basis functions, except pressure, which is expanded in terms of bilinear basis functions.

In particular, they build on recent work to provide a new analysis and classification of the Ladenheim catalogue, and to obtain an improved understanding of the structure and realization power of the class within the

biquadratic positive-real functions.

Lee, "High-Q

biquadratic notch filter synthesis using nodal admittance matrix expansion", Int.