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Computer-aided engineering is the use of computational software to simulate, analyze, and optimize the performance of engineered products, structures, and processes, predominantly through the numerical solution of governing partial differential equations—most commonly by the finite element method—rather than through expensive physical prototyping and hand calculation ^[1]. The CAE workflow typically involves discretizing the geometric model into finite elements, assembling the system of algebraic equations for displacement, stress, temperature, pressure, or velocity fields, and solving the resulting sparse matrix system under prescribed boundary conditions and applied loads, so that structural stress distributions, thermal response, fluid flow fields, or electromagnetic behavior can be predicted before physical manufacturing ^[2]. The method encompasses both linear static analysis and nonlinear, transient, and dynamic analyses, and the reliability of its predictions depends on mesh refinement, element formulation accuracy, material constitutive modeling, and the validation of computed results against physical experimental measurements and full-scale field observations ^[3].