Loading...
research article
Mimetic scalar products of discrete differential forms
We propose a strategy for the systematic construction of the mimetic inner products on cochain spaces for the numerical approximation of partial differential equations on unstructured polygonal and polyhedral meshes. The mimetic inner products are locally built in a recursive way on each k-cell and, then, globally assembled. This strategy is similar to the implementation of the finite element methods. The effectiveness of this approach is documented by deriving mimetic discretizations and testing their behavior on a set of problems related to the Maxwell equations.
Type
research article
Authors
Publication date
2014
Published in
Volume
257
Issue
part B
Start page
1228
End page
1259
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
April 3, 2017
Use this identifier to reference this record