메뉴 건너뛰기




Volumn 45, Issue 7, 2005, Pages 1155-1171

Grid approximation of the domain, and solution decomposition method with improved convergence ratefor singularly perturbed elliptic equations in domains with characteristic boundaries

Author keywords

Domain decomposition method; Grid approximation; Singularly perturbed elliptic problem; Special difference grids

Indexed keywords


EID: 33645994056     PISSN: 09655425     EISSN: 15556662     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (4)

References (21)
  • 1
    • 0001238824 scopus 로고
    • On the optimization of methods for solving boundary value problems in the presence of a boundary layer
    • N. S. Bakhvalov, "On the Optimization of Methods for Solving Boundary Value Problems in the Presence of a Boundary Layer," Zh. Vychisl. Mat. Mat. Fiz. 9, 841-859 (1969).
    • (1969) Zh. Vychisl. Mat. Mat. Fiz. , vol.9 , pp. 841-859
    • Bakhvalov, N.S.1
  • 2
    • 0000101872 scopus 로고
    • Differencing scheme for a differential equation with a small parameter affecting the highest derivative
    • A. M. Il'in, "Differencing Scheme for a Differential Equation with a Small Parameter Affecting the Highest Derivative," Mat. Zametki 6 (2), 237-248 (1969);
    • (1969) Mat. Zametki , vol.6 , Issue.2 , pp. 237-248
    • Il'in, A.M.1
  • 3
    • 1842707147 scopus 로고
    • Math. Notes 6 (2), 596-602 (1969).
    • (1969) Math. Notes , vol.6 , Issue.2 , pp. 596-602
  • 10
    • 26044438364 scopus 로고    scopus 로고
    • Grid approximations with improved convergence rate for singularly perturbed elliptic equations in domains with characteristic boundaries
    • G. I. Shishkin, "Grid Approximations with Improved Convergence Rate for Singularly Perturbed Elliptic Equations in Domains with Characteristic Boundaries," Sib. Zh. Vychisl. Mat. 5(1), 71-92 (2002).
    • (2002) Sib. Zh. Vychisl. Mat. , vol.5 , Issue.1 , pp. 71-92
    • Shishkin, G.I.1
  • 11
    • 33646105570 scopus 로고    scopus 로고
    • A robust method of improved order for convection-diffusion problems in a domain with characteristic boundaries
    • C. Clavero, J. L. Gracia, F. Lisbona, and G. I. Shishkin, "A Robust Method of Improved Order for Convection-Diffusion Problems in a Domain with Characteristic Boundaries," Z. Angew. Math. Mech. 82, 631-647 (2002).
    • (2002) Z. Angew. Math. Mech. , vol.82 , pp. 631-647
    • Clavero, C.1    Gracia, J.L.2    Lisbona, F.3    Shishkin, G.I.4
  • 12
    • 0035254910 scopus 로고    scopus 로고
    • Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems
    • J. Li, "Convergence and Superconvergence Analysis of Finite Element Methods on Highly Nonuniform Anisotropic Meshes for Singularly Perturbed Reaction-Diffusion Problems," Appl. Numer. Math. 36, 129-154 (2001).
    • (2001) Appl. Numer. Math. , vol.36 , pp. 129-154
    • Li, J.1
  • 13
    • 27144525751 scopus 로고
    • On differential properties of solutions to boundary value problems for the laplace and poisson equations on a rectangle
    • E. A. Volkov, "On Differential Properties of Solutions to Boundary Value Problems for the Laplace and Poisson Equations on a Rectangle," Tr. Mat. Inst. im. V.A. Steklova, Akad. Nauk SSSR 77, 89-112 (1965).
    • (1965) Tr. Mat. Inst. Im. V.A. Steklova, Akad. Nauk SSSR , vol.77 , pp. 89-112
    • Volkov, E.A.1
  • 17
    • 0002240887 scopus 로고    scopus 로고
    • The use of defect correction for the solution of parabolic singular perturbation problems
    • P. W. Hemker, G. I. Shishkin, and L. P. Shishkina, "The Use of Defect Correction for the Solution of Parabolic Singular Perturbation Problems," Z. Angew. Math. Mech. 77 (1), 59-74 (1997).
    • (1997) Z. Angew. Math. Mech. , vol.77 , Issue.1 , pp. 59-74
    • Hemker, P.W.1    Shishkin, G.I.2    Shishkina, L.P.3
  • 18
    • 0034348728 scopus 로고    scopus 로고
    • ε-Uniform schemes with high-order time-accuracy for parabolic singular perturbation problems
    • P. W. Hemker, G. I. Shishkin, and L. P. Shishkina, "ε-Uniform Schemes with High-Order Time-Accuracy for Parabolic Singular Perturbation Problems," IMA J. Numer. Anal. 20 (1), 99-121 (2000).
    • (2000) IMA J. Numer. Anal. , vol.20 , Issue.1 , pp. 99-121
    • Hemker, P.W.1    Shishkin, G.I.2    Shishkina, L.P.3
  • 19
    • 33746539002 scopus 로고    scopus 로고
    • The numerical solution of a neumann problem for parabolic singular perturbed equations with high-order time accuracy
    • World Sci., Singapore
    • P. W. Hemker, G. I. Shishkin, and L. P. Shishkina, "The Numerical Solution of a Neumann Problem for Parabolic Singular Perturbed Equations with High-Order Time Accuracy," in Recent Advances in Numerical Methods and Applications II, Sofia, 1998 (World Sci., Singapore, 1999), pp. 27-39.
    • (1999) Recent Advances in Numerical Methods and Applications II, Sofia, 1998 , pp. 27-39
    • Hemker, P.W.1    Shishkin, G.I.2    Shishkina, L.P.3
  • 20
    • 84961474196 scopus 로고
    • Grid approximation of singularly perturbed boundary value problems with convective terms
    • G. I. Shishkin, "Grid Approximation of Singularly Perturbed Boundary Value Problems with Convective Terms," Sov. J. Numer. Anal. Modeling 5 (2), 173-187 (1990).
    • (1990) Sov. J. Numer. Anal. Modeling , vol.5 , Issue.2 , pp. 173-187
    • Shishkin, G.I.1
  • 21
    • 0010957484 scopus 로고
    • A finite difference scheme for a three-dimensional elliptic equation with a small parameter multiplying the higher derivatives
    • Uralsk. Nauchn. Tsentr, AN SSSR, Sverdlovsk, [in Russian]
    • K. V. Emel'yanov, "A Finite Difference Scheme for a Three-Dimensional Elliptic Equation with a Small Parameter Multiplying the Higher Derivatives," in Boundary Value Problems for Equations of Mathematical Physics (Uralsk. Nauchn. Tsentr, AN SSSR, Sverdlovsk, 1973), pp. 30-42 [in Russian].
    • (1973) Boundary Value Problems for Equations of Mathematical Physics , pp. 30-42
    • Emel'yanov, K.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.