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𝙈𝙚𝙩𝙝𝙤𝙙𝙨 𝙤𝙛 𝘼𝙣𝙖𝙡𝙮𝙨𝙞𝙨 The finite element method (FEM) is a widely used method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential. The FEM is a particular numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements. This is achieved by a particular space discretization in the space dimensions, which is implemented by the construction of a mesh of the object: the numerical domain for the solution, which has a finite number of points. The finite element method formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain.[1] The simple equations that model these finite elements are then assembled into a larger system of equations that models the entire problem. The FEM then uses variational methods from the calculus of variations to approximate a solution by minimizing an associated error function.

𝙏𝙝𝙚𝙧𝙚 𝙖𝙧𝙚 𝙩𝙬𝙤 𝙢𝙖𝙞𝙣 𝙩𝙮𝙥𝙚𝙨 𝙤𝙛 𝙢𝙚𝙩𝙝𝙤𝙙 𝙖𝙣𝙖𝙡𝙮𝙨𝙞𝙨:- Text analysis. ... Statistical analysis. ... Diagnostic analysis. ... Predictive analysis. ... Prescriptive Analysis.
 * Qualitative Analysis. This approach mainly answers questions such as 'why,' 'what' or 'how. ...
 * Quantitative Analysis. Generally, this analysis is measured in terms of numbers. ...