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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2006.5
- 수록면
- 183 - 184 (2page)
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초록· 키워드
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Most of the meshless or mesh-free methods rely on the meshless approximation methods.
Through the meshless approximations, the shape functions for unknown variables, which are utilized in variational weak forms of ordinary or partial differential equations, can be constructed only with the nodal points with no aid of well-defined mesh. The feature of independency of meshes in constructing the shape functions gives various potentials in dealing with engineering problems. And the drawbacks encountered in applying the finite element methods, such as human labor-intensive meshing, degradation of solution accuracy according to the element distortions, burden of re-meshing during large deformations, locking, and others, have been expected to be eliminated or alleviated by adopting the meshless or mesh-free approach.
With the anticipation, considerable research efforts have been given to the field of meshless approximation and its application to the analysis of engineering problems. As a result, various meshless analysis methods have been proposed to alleviate the drawbacks of mesh (or grid) dependent conventional analysis methods such as finite element or finite difference methods. They are SPH(smoothed particle hydrodynamics), EFG(element free Galerkin method), Generalized Finite Difference, Generalized Finite Element, MLPG(meshless local Petrov-Galerkin method), and others[1]. Even though those have their own salient features, all of them utilize the nodal shape functions obtained from the meshless(or mesh-free) approximation schemes for the weak forms or differential equations. Consequently all of the meshless analysis methods inherit the common character from the meshless approximation, and the character makes it possible to eliminate or alleviate the mesh-related drawbacks in the conventional numerical analysis methods such as finite element or finite difference methods. The most representative me ... 전체 초록 보기
Through the meshless approximations, the shape functions for unknown variables, which are utilized in variational weak forms of ordinary or partial differential equations, can be constructed only with the nodal points with no aid of well-defined mesh. The feature of independency of meshes in constructing the shape functions gives various potentials in dealing with engineering problems. And the drawbacks encountered in applying the finite element methods, such as human labor-intensive meshing, degradation of solution accuracy according to the element distortions, burden of re-meshing during large deformations, locking, and others, have been expected to be eliminated or alleviated by adopting the meshless or mesh-free approach.
With the anticipation, considerable research efforts have been given to the field of meshless approximation and its application to the analysis of engineering problems. As a result, various meshless analysis methods have been proposed to alleviate the drawbacks of mesh (or grid) dependent conventional analysis methods such as finite element or finite difference methods. They are SPH(smoothed particle hydrodynamics), EFG(element free Galerkin method), Generalized Finite Difference, Generalized Finite Element, MLPG(meshless local Petrov-Galerkin method), and others[1]. Even though those have their own salient features, all of them utilize the nodal shape functions obtained from the meshless(or mesh-free) approximation schemes for the weak forms or differential equations. Consequently all of the meshless analysis methods inherit the common character from the meshless approximation, and the character makes it possible to eliminate or alleviate the mesh-related drawbacks in the conventional numerical analysis methods such as finite element or finite difference methods. The most representative me ... 전체 초록 보기
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