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Volumn 36, Issue 2, 2008, Pages 243-261

A tailored finite point method for a singular perturbation problem on an unbounded domain

Author keywords

Artificial boundary condition; Singular perturbation problem; Tailored finite point method; Unbounded domain

Indexed keywords

APPLIED MATHEMATICS; ARTIFICIAL BOUNDARIES; ARTIFICIAL BOUNDARY CONDITION; COARSE MESHES; COMPUTATIONAL DOMAIN; DISCRETE SCHEME; FINITE POINT METHOD; FINITE-ELEMENT METHODS; HIGH-ACCURACY; NEW APPROACHES; NUMERICA L RESULTS; ORIGINAL PROBLEM; SINGULAR PERTURBATION PROBLEM; SINGULAR PERTURBATION PROBLEMS; TAILORED FINITE POINT METHOD; UNBOUNDED DOMAIN; UNBOUNDED DOMAINS;

EID: 49749117508     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-008-9187-7     Document Type: Article
Times cited : (69)

References (20)
  • 1
    • 84966251705 scopus 로고
    • A priori estimates and analysis of a numerical method for a turning point problem
    • Berger, A.E., Han, H.D., Kellogg, R.B.: A priori estimates and analysis of a numerical method for a turning point problem. Math. Comp. 42, 465-492 (1984)
    • (1984) Math. Comp. , vol.42 , pp. 465-492
    • Berger, A.E.1    Han, H.D.2    Kellogg, R.B.3
  • 2
    • 35248816462 scopus 로고    scopus 로고
    • Uniformly convergent high-order schemes for a 2D elliptic reaction-diffusion problem with anisotropic coefficients
    • Brayanov, I., Dimitrova, I.: Uniformly convergent high-order schemes for a 2D elliptic reaction-diffusion problem with anisotropic coefficients. Lect. Notes Comput. Sci. 2542, 395-402 (2003)
    • (2003) Lect. Notes Comput. Sci. , vol.2542 , pp. 395-402
    • Brayanov, I.1    Dimitrova, I.2
  • 3
    • 0037200003 scopus 로고    scopus 로고
    • A novel finite point method for flow simulation
    • Cheng, M., Liu, G.R.: A novel finite point method for flow simulation. Int. J. Numer. Meth. Fluids 39, 1161-1178 (2002)
    • (2002) Int. J. Numer. Meth. Fluids , vol.39 , pp. 1161-1178
    • Cheng, M.1    Liu, G.R.2
  • 5
    • 34547547961 scopus 로고    scopus 로고
    • The artificial boundary method - Numerical solutions of partial differential equations on unbounded domains
    • Higher Education Press World Scientific
    • Han, H.D.: The artificial boundary method - numerical solutions of partial differential equations on unbounded domains. In: Li, T., Zhang, P. (eds.) Frontiers and Prospects of Contemporary Applied Mathematics. Higher Education Press, World Scientific (2005)
    • (2005) Frontiers and Prospects of Contemporary Applied Mathematics
    • Han, H.D.1    Li, T.2    Zhang, P.3
  • 6
    • 0003384945 scopus 로고    scopus 로고
    • Error estimates for the finite element approximation of problems in unbounded domains
    • Han, H.D., Bao, W.Z.: Error estimates for the finite element approximation of problems in unbounded domains. SIAM J. Numer. Anal. 37, 1101-1119 (2000)
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1101-1119
    • Han, H.D.1    Bao, W.Z.2
  • 7
    • 0030419987 scopus 로고    scopus 로고
    • A singularly perturbed model problem for numerical computation
    • Hemker, P.W.: A singularly perturbed model problem for numerical computation. J. Comp. Appl. Math. 76, 277-285 (1996)
    • (1996) J. Comp. Appl. Math. , vol.76 , pp. 277-285
    • Hemker, P.W.1
  • 8
    • 1842707147 scopus 로고
    • Differencing scheme for a differential equation with a small parameter affecting the highest derivative
    • Il'in, A.M.: Differencing scheme for a differential equation with a small parameter affecting the highest derivative. Math. Notes 6, 596-602 (1969)
    • (1969) Math. Notes , vol.6 , pp. 596-602
    • Il'In, A.M.1
  • 9
    • 49749135025 scopus 로고    scopus 로고
    • A singularly perturbed convection-diffusion problem in a half-plane
    • Kellogg, R.B., Stynes, M.: A singularly perturbed convection-diffusion problem in a half-plane. Appl. Anal. 85, 1471-1485 (2006)
    • (2006) Appl. Anal. , vol.85 , pp. 1471-1485
    • Kellogg, R.B.1    Stynes, M.2
  • 10
    • 0032140876 scopus 로고    scopus 로고
    • Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Convection-diffusion
    • Li, J., Navon, I.M.: Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: convection-diffusion. Comput. Methods Appl. Mech. Eng. 162, 49-78 (1998)
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.162 , pp. 49-78
    • Li, J.1    Navon, I.M.2
  • 11
    • 0037906184 scopus 로고    scopus 로고
    • The meshless local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations
    • Lin, H., Atluri, S.N.: The meshless local Petrov-Galerkin (MLPG) method for solving incompressible Navier-Stokes equations. CMES 2, 117-142 (2001)
    • (2001) CMES , vol.2 , pp. 117-142
    • Lin, H.1    Atluri, S.N.2
  • 12
    • 1542378671 scopus 로고    scopus 로고
    • Finite point solver for the simulation of 2-D laminar incompressible unsteady flows
    • Mendez a, B., Velazquez, A.: Finite point solver for the simulation of 2-D laminar incompressible unsteady flows. Comput. Methods Appl. Mech. Eng. 193, 825-848 (2004)
    • (2004) Comput. Methods Appl. Mech. Eng. , vol.193 , pp. 825-848
    • Mendez, A.B.1    Velazquez, A.2
  • 13
    • 0037859915 scopus 로고
    • On the convergence, uniformly in ε, of difference schemes for a two-point boundary singular perturbation problem
    • Academic New York
    • Miller, J.J.H.: On the convergence, uniformly in ε, of difference schemes for a two-point boundary singular perturbation problem. In: Hernker, P.W., Miller, J.J.H. (eds.) Numerical Analysis of Singular Perturbation Problems, pp. 467-474. Academic, New York (1979)
    • (1979) Numerical Analysis of Singular Perturbation Problems , pp. 467-474
    • Miller, J.J.H.1    Hernker, P.W.2    Miller, J.J.H.3
  • 14
    • 38849124866 scopus 로고    scopus 로고
    • Multiscale finite element modelling of flow through porous media with curved and contracting boundaries to evaluate different types of bubble functions
    • Nassehi, V., Parvazinia, M., Khan, A.: Multiscale finite element modelling of flow through porous media with curved and contracting boundaries to evaluate different types of bubble functions. Commun. Comput. Phys. 2, 723-745 (2007)
    • (2007) Commun. Comput. Phys. , vol.2 , pp. 723-745
    • Nassehi, V.1    Parvazinia, M.2    Khan, A.3
  • 15
    • 0030294780 scopus 로고    scopus 로고
    • A finite point method in computational mechanics. Applications to convective transport and fluid flow
    • Oñate, E., Idelsohn, S., Zienkiewicz, O.C., Taylor, R.L.: A finite point method in computational mechanics. Applications to convective transport and fluid flow. Int. J. Numer. Methods Eng. 39, 3839-3866 (1996)
    • (1996) Int. J. Numer. Methods Eng. , vol.39 , pp. 3839-3866
    • Oñate, E.1    Idelsohn, S.2    Zienkiewicz, O.C.3    Taylor, R.L.4
  • 17
    • 37149000701 scopus 로고    scopus 로고
    • A robust finite element method for a 3-D elliptic singular perturbation problem
    • Wang, M., Meng, X.R.: A robust finite element method for a 3-D elliptic singular perturbation problem. J. Comput. Math. 25, 631-644 (2007)
    • (2007) J. Comput. Math. , vol.25 , pp. 631-644
    • Wang, M.1    Meng, X.R.2
  • 18
    • 33645644084 scopus 로고    scopus 로고
    • Modified Morley element method for a fourth order elliptic singular perturbation problem
    • Wang, M., Xu, J.C., Hu, Y.C.: Modified Morley element method for a fourth order elliptic singular perturbation problem. J. Comput. Math. 24, 113-120 (2006)
    • (2006) J. Comput. Math. , vol.24 , pp. 113-120
    • Wang, M.1    Xu, J.C.2    Hu, Y.C.3
  • 19
    • 0000667216 scopus 로고    scopus 로고
    • Uniform Convergence of Discretization Error for a Singular Perturbation Problem
    • Wesseling, P.: Uniform Convergence of Discretization Error for a Singular Perturbation Problem. Numer. Methods Partial Differ. Equ. 12, 657-671 (1996)
    • (1996) Numer. Methods Partial Differ. Equ. , vol.12 , pp. 657-671
    • Wesseling, P.1
  • 20
    • 34047195330 scopus 로고    scopus 로고
    • Superconvergence of DG method for one-dimensional singularly perturbed problems
    • Xie, Z.Q., Zhang, Z.M.: Superconvergence of DG method for one-dimensional singularly perturbed problems. J. Comput. Math. 25, 185-200 (2007)
    • (2007) J. Comput. Math. , vol.25 , pp. 185-200
    • Xie, Z.Q.1    Zhang, Z.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.