Aplikasi Metode Elemen Hingga untuk Penyelesaian Persamaan Diferensial Parsial dalam Rekayasa Struktur dan Material
Abstract
Abstract: A systematic literature review sourced from Google Scholar, DOAJ, and Scopus publications between 2014 to 2024 examined the application of Finite Element Method (FEM) for solving Partial Differential Equations (PDEs) in structural and material engineering. The review highlighted a comparative analysis between Maximum Entropy Method (MEH) without meshes and FEM, revealing complementary yet distinct approaches. FEM, particularly through Domain Decomposition Method (DDM), demonstrated effectiveness in enhancing analysis accuracy for complex scenarios such as seismic responses and structural component behavior. Conversely, MEH stood out for its focus on energy relaxation and its ability to delve into microstructure-property relationships crucial for tailored material development. This synthesis underscores the diverse strengths of both numerical methods in advancing engineering solutions and material innovations.
Abstrak: Sebuah tinjauan literatur sistematik yang menggunakan sumber dari Google Scholar, DOAJ, dan Scopus pada periode 2014-2024 telah menginvestigasi aplikasi Metode Elemen Hingga (FEM) untuk menyelesaikan Persamaan Diferensial Parsial (PDP) dalam bidang rekayasa struktur dan material. Tinjauan ini menyoroti analisis perbandingan antara Metode Entropi Maksimum (MEH) tanpa jala dengan FEM, yang mengungkapkan pendekatan yang komplementer namun berbeda secara signifikan. FEM, khususnya melalui Metode Dekomposisi Domain (DDM), terbukti efektif dalam meningkatkan akurasi analisis untuk situasi kompleks seperti respons terhadap gempa dan perilaku komponen struktural. Di sisi lain, MEH menonjol karena fokusnya pada relaksasi energi dan kemampuannya untuk memahami hubungan mikrostruktur dan sifat material yang sangat penting dalam pengembangan material yang disesuaikan. Tinjauan ini menegaskan kekuatan beragam dari kedua metode numerik tersebut dalam mengembangkan solusi rekayasa dan inovasi material.
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