Element-Free Galerkin Method and Finite Element Method. Which is better?

"This paper is dedicated to the presentation of some qualities of a meshfree method – Element-Free Galerkin Method (EFGM) – which is few known and fewer used in Romania. In spite of a large using of the Finite Element Method (FEM), new numerical methods appeared, among these the Element-Free Ga...

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Published inJournal of Engineering Sciences and Innovation (Online) Vol. 5; no. 4; pp. 287 - 298
Main Authors NĂSTĂSESCU, VASILE, ILIESCU, NICOLAE, MARZAVAN, SILVIA
Format Journal Article
LanguageEnglish
Published 15.11.2020
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Abstract "This paper is dedicated to the presentation of some qualities of a meshfree method – Element-Free Galerkin Method (EFGM) – which is few known and fewer used in Romania. In spite of a large using of the Finite Element Method (FEM), new numerical methods appeared, among these the Element-Free Galerkin Method (EFGM) is one. This method belongs to the meshfree methods, which is based on an approximation method named mooving least square method (MLSM). This paper presents in a synthetically way the base principle of EFGM. Some results of our researching work are also presented, which demonstrate some basic advantages of the EFGM. A simple problem of structure analysis is presented but the results are obtained by three methods: theoretical, FEM and EFGM. The results are a pleading and a model for using the EFGM. The answer of the title question is going to be given by any user of the EFGM. "
AbstractList "This paper is dedicated to the presentation of some qualities of a meshfree method – Element-Free Galerkin Method (EFGM) – which is few known and fewer used in Romania. In spite of a large using of the Finite Element Method (FEM), new numerical methods appeared, among these the Element-Free Galerkin Method (EFGM) is one. This method belongs to the meshfree methods, which is based on an approximation method named mooving least square method (MLSM). This paper presents in a synthetically way the base principle of EFGM. Some results of our researching work are also presented, which demonstrate some basic advantages of the EFGM. A simple problem of structure analysis is presented but the results are obtained by three methods: theoretical, FEM and EFGM. The results are a pleading and a model for using the EFGM. The answer of the title question is going to be given by any user of the EFGM. "
Author ILIESCU, NICOLAE
NĂSTĂSESCU, VASILE
MARZAVAN, SILVIA
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CorporateAuthor Politehnica” University of Bucharest, Splaiul Independenței 313, S. 6, Bucharest, 060042, Romania
Military Technical Academy, Bd. George Coșbuc, 81-83, S. 5, Bucharest, 050141, Romania
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Title Element-Free Galerkin Method and Finite Element Method. Which is better?
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