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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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We introduce an extrapolated Crank-Nicolson characteristic finite element method to approximate solutions of a convection dominated Sobolev equation. We obtain the higher order of convergence in both the spatial direction and the temporal direction in $L^{2}$ normed space for the extrapolated Crank-Nicolson characteristic finite element method.
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참고문헌 (23)
참고문헌 신청
D. N. Arnold / 1981 / Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable / Math. Comp 36(153):53~63
G. I. Barenblatt / 1960 / Basic conception in the theory of seepage of homogenous liquids in fissured rocks / J. Appl. Math. Mech 24:1286~1309
R. W. Carroll / 1976 / Singular and degenerate Cauchy problems / Academic Press
P. L. Davis / 1970 / A quasilinear parabolic and related third order problem / J. Math. Anal. Appl 49:327~335
J. Douglas / 1982 / Numerical methods for convection-dominated diffusion problems based on combining the method of characteristic with finite element or finite difference procedures / SIAM J. Numer. Anal 19(5):871~885
G. I. Barenblatt / 1960 / Basic conception in the theory of seepage of homogenous liquids in fissured rocks / J. Appl. Math. Mech 24:1286~1309
R. W. Carroll / 1976 / Singular and degenerate Cauchy problems / Academic Press
P. L. Davis / 1970 / A quasilinear parabolic and related third order problem / J. Math. Anal. Appl 49:327~335
J. Douglas / 1982 / Numerical methods for convection-dominated diffusion problems based on combining the method of characteristic with finite element or finite difference procedures / SIAM J. Numer. Anal 19(5):871~885
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