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Discontinuous Galerkin finite element methods for a forward-backward heat equation

Department of Mathematical Sciences, University of Cincinnati, P.O. Box 210025, Cincinnati, OH 45221, USA
Applied Numerical Mathematics 01/1998; DOI:10.1016/S0168-9274(98)00011-7

ABSTRACT A space-time finite element method is introduced to solve a model forward-backward heat equation. The scheme uses the discontinuous Galerkin method for the time discretization. An error analysis for the scheme is presented.

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Donald A. French