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All Journal Rekayasa Sipil Civil Engineering Dimension Prosiding Seminar Nasional Sains dan Teknologi Terapan Jurnal Rekayasa Konstruksi Mekanika Sipil Borneo Engineering: Jurnal Teknik Sipil Civilla : Jurnal Teknik Sipil Universitas Islam Lamongan Jurnal Teknologi dan Manajemen Jurnal Teknik Sipil Journal of Civil Engineering, Planning, and Design (JCEPD)
Istiono, Heri
Institut Teknologi Adhi Tama Surabaya, Indonesia
Civil Engineering, Building, Construction & Architecture Computer Science & IT Engineering

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Journal : Civil Engineering Dimension

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A Study of the Partition of Unity-based T3-CNS and T3-DNS Finite Elements in Surface Fitting Istiono, Heri; Tjong, Wong Foek
Civil Engineering Dimension Vol. 28 No. 1 (2026): MARCH 2026
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.9744/ced.28.1.11-22

Abstract

Various alternative, enhanced finite element methods (FEMs) have been proposed to improve the accuracy and convergence of traditional FEM. One promising approach is the hybrid FEM-meshfree method using the partition of unity concept. This study examines the performance of two variants of the hybrid-meshfree method: the three-node triangular element with continuous nodal stress (T3-CNS) and the three-node triangular element with discontinuous nodal stress (T3-DNS). These methods are evaluated in the context of surface fitting through numerical tests. Their accuracy and convergence are compared with the standard triangular element and Kriging-based FEM. The results show that both T3-CNS and T3-DNS methods maintain consistency and yield accurate surface approximations with good convergence. However, their performance declines in problems involving gradient singularities. This study enhances the understanding of T3-CNS and T3-DNS interpolations, providing insights into their application in a Galerkin method for solving engineering model problems.
Co-Authors Agnes Nurul Aini Apriyanto, Arie Fauzi Dewi Kusumaningrum Dewi Pertiwi Dewi Pertiwi Dita Kamarul Fitriyah Dwi Cahyani Putri Eka Susanti Eka Susanti Eka Susanti El Hafizah, Nafilah Fajar Agung Nugraha Felicia Tria Nuciferani Firdausi, Mutiara Gustiaranti, Audrey Agdennia Habib Nocky Dwi Misbah Prasetyo Indra Komara Indra Komara, Indra Jaka Propika Jaka Propika Jaka Propika Kartiko, Andi Susilo Katon Putra Baskara Kurniawan, Mochammad Rizky Kusumaningrum, Dewi Letisia Khoe Madaret Rifqi Dzakwan Mochamad Anang Syafruddin Prasetyo, Habib Nocky Dwi Misbah Primario Jatupasha Ramadhan, Azhar Yusuf Sekartadji, Ratih Septian Fajar Syamsudin Syamsudin, Septian Fajar Wong Foek Tjong Yanisfa Septiarsilia Yasmin Lisawiyani