scholarly journals Combining boundary‐conforming finite element meshes on moving domains using a sliding mesh approach

2020 ◽  
Author(s):  
Jan Helmig ◽  
Fabian Key ◽  
Marek Behr ◽  
Stefanie Elgeti
Keyword(s):  
Finite Element ◽  
Sliding Mesh ◽  
Conforming Finite Element ◽  
Moving Domains ◽  
Finite Element Meshes ◽  
Boundary Conforming

scholarly journals $$H^1$$-conforming finite element cochain complexes and commuting quasi-interpolation operators on Cartesian meshes

CALCOLO ◽  
2021 ◽  
Vol 58 (2) ◽  
Author(s):  
Francesca Bonizzoni ◽  
Guido Kanschat
Keyword(s):  
Finite Element ◽  
Tensor Product ◽  
Arbitrary Order ◽  
Inner Product ◽  
Cochain Complex ◽  
Exterior Derivative ◽  
Product Construction ◽  
Cartesian Meshes ◽  
Conforming Finite Element ◽  
Interpolation Operators

AbstractA finite element cochain complex on Cartesian meshes of any dimension based on the $$H^1$$ H 1 -inner product is introduced. It yields $$H^1$$ H 1 -conforming finite element spaces with exterior derivatives in $$H^1$$ H 1 . We use a tensor product construction to obtain $$L^2$$ L 2 -stable projectors into these spaces which commute with the exterior derivative. The finite element complex is generalized to a family of arbitrary order.

Interior point tracking in shape evolving unstructured finite element meshes

1998 ◽  
Vol 15 (6) ◽  
pp. 721-731 ◽  
Author(s):  
James C. Robinson ◽  
John S. Campbell ◽  
Denis Kelliher
Keyword(s):  
Finite Element ◽  
Interior Point ◽  
Point Tracking ◽  
Finite Element Meshes
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