Survey of discrete maximum principles for linear elliptic and parabolic problems.
2004
ABSTRACT: We survey techniques for proving discrete maximum principles for finite element approximations of linear elliptic and parabolic problems. Special emphasis is laid on approximations built on tetrahedral meshes.
Keywords:
- Elliptic partial differential equation
- Parabola
- Elliptic curve
- Parabolic cylinder function
- Mathematical optimization
- Mathematical analysis
- Discontinuous Galerkin method
- Finite element method
- Mathematics
- Parabolic cylindrical coordinates
- Parabolic partial differential equation
- finite element approximations
- tetrahedral meshes
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