An analysis NURBS surface separately created with the foregoing NURBS surface is utilized to exactly describe geometry and approximately solve unknown solutions in finite element analysis (FEA) based on the IGA associated with a generalized shear deformation theory (GSDT).
From Equations 2 to 4 and 9 and 10, we can solve unknown parameters τ i and p i, f numerically with a given set of frame size (FS1, FS2....FSK) and BERs (p1, b, p2, b....p K, b ) corresponding to the K hosts.
In the process of solving the unknown quantities, a new parameter substitution method is applied.
After solving these unknown parameters (c1, c2, c3), the temperature distribution equation, Eq. (16), will be determined.
While algebra allows for mathematical generalizations and solving for unknown quantities, critical to its success is its precursor, algebraic reasoning.
This study proposes a linked simulation optimization model for solving the unknown groundwater pollution source identification problems.
The proposed evolutionary approach optimizes the most significant predictor input variables in the model for both accuracy and complexity, while simultaneously solving the unknown parameters of the model.
However, it is well known that a Lagrange interpolation is not stable for large N. Hence, we propose a more stable approach by expanding (u^{N}(t)) directly in terms of the shifted Legendre polynomials and solving the unknown coefficients of the collocation scheme (10).
As in 3D axisymmetric case, instead of keeping the vesicle locally incompressible, we adopt a modified elastic tension energy to make the vesicle surface patch nearly incompressible so that solving the unknown tension (Lagrange multiplier for the incompressible constraint) can be avoided.
