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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 1 - 9 (9page)
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In [8] they introduced a new finite element method for ac- curate numerical solutions of Poisson equations with corner singularities, which is useful for the problem with known stress intensity factor. They consider the Poisson equations with homogeneous Dirichlet boundary con- dition, compute the finite element solution using standard FEM and use the extraction formula to compute the stress intensity factor, then they pose a PDE with a regular solution by imposing the nonhomogeneous boundary condition using the computed stress intensity factor, which con- verges with optimal speed. From the solution they could get accurate solution just by adding the singular part. This approach works for the case when we have the reasonably accurate stress intensity factor. In this paper we consider Poisson equations defined on a domain with a concave corner with Neumann boundary conditions. First we compute the stress intensity factor using the extraction formular, then find the regular part of the solution and the solution.
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참고문헌 (8)
참고문헌 신청
F. Hecht / 2012 / New development in FreeFem++ / J. Numer. Math 20 (3-4) : 251 ~ 265
H. Blum / 1982 / On finite element methods for elliptic equations on domains with corners / Computing 28 : 53 ~ 63
P. Grisvard / 1985 / Elliptic Problems in Nonsmooth Domains / Pitman
S. C. Brenner / 1999 / Multigrid methods for the computation of singular solutions and stress intensity factor I: Corner singularities / Math. Comp 68 (226) : 559 ~ 583
S. Kim / 2016 / A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor / Computers and Mat
H. Blum / 1982 / On finite element methods for elliptic equations on domains with corners / Computing 28 : 53 ~ 63
P. Grisvard / 1985 / Elliptic Problems in Nonsmooth Domains / Pitman
S. C. Brenner / 1999 / Multigrid methods for the computation of singular solutions and stress intensity factor I: Corner singularities / Math. Comp 68 (226) : 559 ~ 583
S. Kim / 2016 / A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor / Computers and Mat
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