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In this article, a functional minimum problem equivalent to the p-Laplace equation is introduced, a finite element-Newton iteration formula is established, and a well-posed condition of iterative functions satisfied is provided.
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These new shape functions satisfy all requirements for PIC particle shape.
These functions satisfy the previously noted trigonometric relations with A, B, 90°, and 360° replaced by x, y, π/2 radians, and 2π radians, respectively.
These functions satisfy (17).
If functions satisfy (2.9).
Then Green's functions satisfy.
For and any direction these functions satisfy.
The following functions satisfy condition (3.3) above.
(H1)The functions satisfy the Carathéodory conditions.
Every linear functions satisfy the homogeneous equation (2.39).
functions, satisfy the conditions of (1.6); that is, (3.24).
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