Compatible Spatial Discretizations pp 161-171 | Cite as
Covolume Discretization of Differential Forms
Conference paper
4. Conclusions
We have presented a discrete calculus of differential forms and applied it to several partial differential equations of current interest. It is of interest that our techniques apply on smooth manifolds in any finite number of dimensions. Interesting possibilities remain for future work, including applications to manifolds with indefinite inner products — related to time discretization — and deriving new error estimates in the differential forms setting.
Keywords
Boundary Operator Differential Form Dual Complex Hodge Star Operator Dual Mesh
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