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Journal : Indonesian Journal of Science and Technology

Adaptive Mixed Finite Element Method for Elliptic Problems with Concentrated Source Terms Ilyas, Muhammad; Garnadi, Agah D.; Nurdiati, Sri
Indonesian Journal of Science and Technology Vol 4, No 2 (2019): IJOST: VOLUME 4, ISSUE 2, 2019
Publisher : Universitas Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.17509/ijost.v4i2.18183

Abstract

An adaptive mixed finite element method using the Lagrange multiplier technique is used to solve elliptic problems with delta Dirac source terms. The problem arises in the use of Chow-Anderssen linear functional methodology to recover coefficients locally in parameter estimation of an elliptic equation from a point-wise measurement. In this article, we used a posterior error estimator based on averaging technique as refinement indicators to produce a cycle of mesh adaptation, which is experimentally shown to capture singularity phenomena. Our numerical results showed that the adaptive refinement process successfully refines elements around the center of the source terms. The results also showed that the global error estimation is better than uniform refinement process in terms of computation time.
Co-Authors A.A. Ketut Agung Cahyawan W Abd Kadir, Abd Abdul Majid Adrianto, Adrianto Agah D. Garnadi Agus Dwi Susanto Agusman, Agusman Ahmad Fathoni Ahmad Fuady Alam, Saiful Aldha Williyan Alfian Z, Andi Alfian, Andi Almahdy, Andi Muh Alwin, Wanarani Amalia Amalia Amalia, Ginva Amin, Muzakkir AMIN, ROSMINI Amran Analisis Zega, Sabar Andi Alfian Zainuddin Andri Susanto ANDRIA AGUSTA Andriani, Jeni Antonius Herry Cahyana Aria Kekalih Arifurrohman, Arifurrohman Aryati, Risma Ade Asriyani, Sri Atit Kanti Azis, Rahmawati Baan, Junus Bachtiar Murtala Bahruddin Thalib Baiquni, Maulana Barliana, Julie D. Basri, Muhammad Iqbal Bulan Dalimunthe, Derhana Burhanuddin Bahar Cahyono Kaelan, Cahyono Chandra, Levina Cici Darsih Crismono, Prima Cristi Darani, Nurlia Putri Darmiati, Sawitri Data, Rustiari Devei, Astri Dewangga, Adrian Vigo Dewi Sumaryani Soemarko DEWI WULANSARI Diah Pratiwi Dinar Djoko Sutopo Dwi Handayani Dwinna Rahmi Efendi, Sintia Frisky Ekawati, Shindy Elfahmi, Khalida Ikhlasiya Tajdar Gefariena Elga Yanuardianto Endah Setyaningrum, Endah Erni Erwin Erwin Etfita, Fauzul Fahrul Basir Faisal Faisal Fanggidae, Apriana H.J. Fanggidae, Ronald Patrick Costantin Farida Faridin, Faridin Faris Kaisan, Ahmad fatimah Fatimah Fatjriyah, Emilliyatul Laily Ferdy Nurhadi Firdaus, M. Dhafa Fitriani A, Fitriani Fitriyadi Kusuma Foenay, Christien C. Gaffar, Masyita Gufron, Moh. Ali Hafidz Hanafiah Hamdani Thaha, Hamdani Hamidsyukrie, Hamidsyukrie Hayan, Maulana Thoriqul Hendri Busman Heni Pujiastuti Hernawan, . Hernawan, . HP, Faridin Huda, Mifathul I Made Sudiana Idris, Nurlaily Ikram, Muhammad Ikram, Muhammad Ikram Imam, Muh Abdi Indra, Ryan Indrianingsih, A. Wheni Indrianingsih, A. Wheni Irwan Irwan Iswan Iswan Januarius Mujiyanto, Januarius Jasnur, Avrilia Jen Fuk, Liem Joedo Prihartono Johan, Muhammad Phetrus Jufri, Jufriyanto Juhandi, Juhandi Julianto, Adhitya Jumardi, Andi Kaewhanam, Phimlikid Kafrawi Kafrawi Kai, Rosita Kartika Dyah Palupi Khaerunnisa Khaerunnisa, Khaerunnisa Khairunnas Jamal Khofifah, Eva Nur Khomaruzaman, Akmal Kriswinarso, Tri Bondan Kumara Walpita Gamage, Chandima Kuncoro, Teguh Kurniawati, Wensri sevni Latief, Nikmatia Latief, Shofiyah Lil Fudlola, Mudafi’ah Lino, Nopa Sampe Liriwati, Fahrina Yustiasari Lisnawati Ma'rufi Ma'rufi, Ma'rufi Ma’rufi, Ma’rufi Maharani, Intan Malik, Dwi Maheza Mardianto, Umar Martin L. Simanjuntak, Martin L. Marufi Marufi, Marufi Masyhuri Masyhuri Maylani, Lina Ma’rufi Ma’rufi, Ma’rufi Mochamad Guntur Muchtaruddin Mansyur Muhammad Fadjar Perkasa, Muhammad Fadjar Muhammad Kamal Muhammad Ruslin, Muhammad Muhammad Syafar Muhammad Yunus Muharozak, Fahrezi Muhibbah, A. Fitrah Muis, Mirna Mulyadi Mulyadi Mumtazah, Dzul Fithria Nafiz, Farhan Nawi, Syahruddin Nirmala Nirmala, Nirmala Nurambiya, Nurambiya Nurfalaq, Aryadi Nuri Purwito Adi Nurlaili Handayani Nurlita, Cindy Nurul Fatimah Nurul Qomariah Nury Nusdwinuringtyas Patmaniar Patmaniar, Patmaniar Patobun, Patobun Pramono, Rufik Tejo Praptiwi Praptiwi Praptiwi, - Prasetyo, Aditya Agung Purnama, Denta Putra, Aldho Pramana Putra, Ryryn Suryaman Prana Putri, Iin Karmila Putri, Nurul Azzahra Rachma Tullah, Rosna Andini Rafiud Ilmudinulloh Rahayu, Ria Apriyani Rahmat Hidayat Ramli Ramli Ratsmita, Firly Rauf, Rafikah Retno Sari Rismala, Rismala Rizki Ramadani Rosalina, Utami Rosidah Rosidah Rostiani, Winda Rosyida, Vita Taufika Rosyida, Vita Taufika S. Soemarko, Dewi Salsabila, Saila Salwah Saman Hudi Samban, Ida Saputri, Agnes Ratna Saranga Sudusinghe, Wasana SARDIA, SARDIA Sehe, Sehe Sekarutami, Sri Mutya SEPTELIA INAWATI WANANDI Septia Wulandari Seti, Sirikanya Shahat, Salah Shinta, Pricilla Siregar, Trifonia Pingkan Sri Nurdiati Sri Wahyuni Suryati Suryati Susmawati, Susmawati Suud Suud, Suud Syafruddin Syafruddin SYAMSU ALAM Syifa Octaviani, Audia Tajuddin, Muhtar Tanady, Kevin Julius Tartila, Zakiyana Taufik, Feni Fitriani Taufiq Taufiq Taufiq Thalib, Hambali Tukimun, Suci Tria Meirisa Utama, Dharma Vina Yuliana, Vina Wafa, Muhamad Ali Wahidah, Ananda Wahidin Ashari, Nur Wibowo, Suryo Widi Astuti Widjanantie, Siti Chandra Widya Rizky Pratiwi, Widya Rizky wijaya, firad Winahyu, Winahyu Winata, Vera Wuri Apriyana, Wuri Yogi, Muhammad Yuliano, Muhammad Ilhan Yundari, Yundari Yusdira, Ade Yusuf, Hardianti Zahro, Isna Arofatus Zainuddin, Alfian Zainuddin, Andi A. ZM, Hamidsyukrie  Sugiarta,  Iwan