activity
20102026
most citedPreserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method

303 citations · 796 across the 37 of their papers we have counts for

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Showing 2010Show all

2 papers · 1 filter

math.NA2010★ 48 cited

Preserving multiple first integrals by discrete gradients

Morten Dahlby, Brynjulf Owren, Takaharu Yaguchi

We consider systems of ordinary differential equations with known first integrals. The notion of a discrete tangent space is introduced as the orthogonal complement of an arbitrary…

math.NA2010★ 130 cited

Finite element systems of differential forms

Snorre Harald Christiansen

We develop the theory of mixed finite elements in terms of special inverse systems of complexes of differential forms, defined over cellular complexes. Inclusion of cells correspon…