F.E.M — Essential Basics of the Method
Considerations- The volume of the body defines the domain of the Boundary Value Problem. 2D case (Surface) with a single field variable is ɸ (x, y) to be determined at every point P (x, y) so that equation is satisfied at every point. This whole process results in a closed form of algebraic expressions of independent variables.

Depending on the curvature of geometry the equation which is formed point to point (Nodes to nodes to be precise). When the geometry is complex means if there are recurring changes in curvature per unit length, for that particular case, the numbers of points to be used to cover-up the geometry will be more, hence the algebraic equations will be complex.
In this case of 2D gaining the closest solutions will be the hardest part, Because of that reason approximation method for solving complex Geometry and digital computations are rarely used methods.
By catering the problem in the 1D probability of finding out the approximate closest solution is most. Because of two other dimensions’ absence and easy topology.
When we consider a material which is 3D, having either orthotropic or anisotropic mechanical properties will be having most recurring changes. Because The physical property of a 3D material will vary by plane to plane or by each coordinate. In this particular case, the closest solutions only can be achieved by applying more numbers of points (Nodes) to cover whole 3D volume. Again the recurring change of curvature and so that physical property changes will be present and because of that reason, the Digital computation & approximation becomes harder. The best example of the same process is coarse, normal & dense meshing by F.E.A. method.
Temperature changes will be the major role-playing parameter in terms of the physical property changes. Because Chemical property will change with respect to temperature changes and hence the mechanical property.

