NUMERICAL APPROXIMATION OF SURFACE AREAS OF GEOMETRIES THROUGH INTEGRATION USING INTERACTIVE MATLAB GUI
DOI:
https://doi.org/10.11113/jurnalteknologi.v88.25322Keywords:
Numerical Integration, surface area, Netgen mesh generator, Graphical User InterfaceAbstract
In computational geometry, numerical integration is a widely used approach to estimate the surface area of geometric shapes by subdividing complex curves and surfaces into manageable elements known as meshes. Estimating surface area is a fundamental problem in geometry with important implications in scientific and engineering applications. This paper presents a numerical framework for surface area approximation using discrete linear and quadratic elements applied to several geometric models. Meshes for each geometry are generated using the NETGEN mesh generator, and surface areas are computed through numerical integration. The results are compared with analytical solutions to evaluate accuracy and convergence behavior. To enhance user interaction and improve accessibility, an interactive graphical user interface (GUI) is developed using MATLAB. The GUI allows users to input geometry parameters, visualize the mesh, and perform surface area calculations automatically. Findings show that higher-order (quadratic) elements provide better accuracy than linear elements, especially for curved surfaces. This study contributes to the development of efficient and user-friendly computational tools for surface area approximation, particularly in educational and engineering contexts
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