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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2020.1
- 수록면
- 583 - 591 (9page)
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In [8, 9] they introduced a new finite element method for ac- curate numerical solutions of Poisson equations with corner singularities. They consider the Poisson equations with corner singularities, compute the finite element solutions using standard Finite Element Methods and use the extraction formula to compute the stress intensity factor(s), then they posed new PDE with a regular solution by imposing the nonhomo- geneous boundary condition using the computed stress intensity factor(s), which converges with optimal speed. From the solution they could get an accurate solution just by adding the singular part. The error analysis was given in [5]. In their approaches, the singular functions and the extraction formula which give the stress intensity factor are the basic elements. In this paper we consider the biharmonic problems with the cramped and/or simply supported boundary conditions and get the singular functions and its duals and find properties of them, which are the cornerstones of the approaches of [8, 9, 10].
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참고문헌 (11)
참고문헌 신청
H. Blum / 1982 / On finite element methods for elliptic equations on domains with corners / Computing 28:53~63
H. Blum / 1980 / On the Boundary Value Problem of the Biharmonic Oper-ator on Domains with Angular Corners / Math Meth. in the Appl. Sci 2:556~581
Z. Cai / 2001 / A finite element method using singular functions for the poisson equation: Corner singularities / SIAM J. Numer. Anal 39:286~299
Z. Cai / 2006 / A finite element method using singular func-tions for Poisson equations: Mixed boundary conditions / Comput. Methods Appl. Mech. Engrg 195:26352648
Z. Cai / 2018 / Error estimate of a finite element method using stress intensity factor / Computers and Mathematics with Applications 76:2402~2408
H. Blum / 1980 / On the Boundary Value Problem of the Biharmonic Oper-ator on Domains with Angular Corners / Math Meth. in the Appl. Sci 2:556~581
Z. Cai / 2001 / A finite element method using singular functions for the poisson equation: Corner singularities / SIAM J. Numer. Anal 39:286~299
Z. Cai / 2006 / A finite element method using singular func-tions for Poisson equations: Mixed boundary conditions / Comput. Methods Appl. Mech. Engrg 195:26352648
Z. Cai / 2018 / Error estimate of a finite element method using stress intensity factor / Computers and Mathematics with Applications 76:2402~2408
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