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Galerkin method for a Stefan‐type problem in one space dimension
Author(s) -
Doss L. Jones Tarcius,
K. Pani A.,
Padhy S.
Publication year - 1997
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199707)13:4<393::aid-num6>3.0.co;2-g
Subject(s) - mathematics , dimension (graph theory) , galerkin method , type (biology) , convergence (economics) , space (punctuation) , partial differential equation , transformation (genetics) , mathematical analysis , stefan problem , pure mathematics , finite element method , boundary (topology) , ecology , physics , biology , thermodynamics , linguistics , philosophy , biochemistry , chemistry , gene , economics , economic growth
Based on a Landau‐type transformation, both continuous and discrete in time L 2 ‐Galerkin methods are applied to a single‐phase Stefan‐type problem in one space dimension. Optimal rates of convergence in L ℵ , L ∞ , and H 1 ‐norms are derived and computational results are presented. © 1997 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 13: 393–416, 1997