10 citations
6 papers
Adaptive Finite Element Solution of the Porous Medium Equation in Pressure Formulation
Cuong Ngo, Weizhang Huang
A lack of regularity in the solution of the porous medium equation poses a serious challenge in its theoretical and numerical studies. A common strategy in theoretical studies is t…
A Generalization of Zeckendorf's Theorem via Circumscribed -gons
Robert Dorward, Pari L. Ford, Eva Fourakis +4
Zeckendorf's theorem states that every positive integer can be uniquely decomposed as a sum of nonconsecutive Fibonacci numbers, where the Fibonacci numbers satisfy $F_n=F_{n-1}+F_…
On the variational formulation of systems with non-holonomic constraints
D. H. Delphenich
In a previous article by the author, it was shown that one could effectively give a variational formulation to non-conservative mechanical systems by starting with the first variat…
A more direct representation for complex relativity
David Delphenich
An alternative to the representation of complex relativity by self-dual complex 2-forms on the spacetime manifold is presented by assuming that that the bundle of real 2-forms is g…
On linear electromagnetic constitutive laws that define almost-complex structures
D. H. Delphenich
It is shown that not all linear electromagnetic constitutive laws will define almost-complex structure on the bundle of 2-forms on the spacetime manifold when composed with the Poi…
Symmetries and pre-metric electromagnetism
David Delphenich
The equations of pre-metric electromagnetism are formulated as an exterior differential system on the bundle of exterior differential 2-forms over the spacetime manifold. The gener…