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Continuous Galerkin finite element methods for a forward‐backward heat equation
Author(s) -
French Donald A.
Publication year - 1999
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(199903)15:2<257::aid-num8>3.0.co;2-m
Subject(s) - mathematics , galerkin method , finite element method , partial differential equation , discretization , discontinuous galerkin method , heat equation , mathematical analysis , time stepping , partial derivative , space (punctuation) , scheme (mathematics) , computer science , physics , thermodynamics , operating system
A space‐time finite element method is introduced to solve a model forward‐backward heat equation. The scheme uses the continuous Galerkin method for the time discretization. An error analysis for the method is presented. © 1999 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 15: 257–265, 1999