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

✍ Scribed by Donald A. French

Book ID
108415928
Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
352 KB
Volume
28
Category
Article
ISSN
0168-9274

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πŸ“œ SIMILAR VOLUMES

Continuous Galerkin finite element metho
Continuous Galerkin finite element methods for a forward-backward heat equation
✍ Donald A. French πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 282 KB πŸ‘ 1 views

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.

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In this paper, we propose a new discontinuous Galerkin finite element method to solve the Hamilton-Jacobi equations. Unlike the discontinuous Galerkin method of [C. Hu, C.-W. Shu, A discontinuous Galerkin finite element method for Hamilton-Jacobi equations, SIAM Journal on Scientific Computing 21 (1