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- Regular group actions (1)
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Articles 1 - 8 of 8
Full-Text Articles in Physical Sciences and Mathematics
Matroid Duality From Topological Duality In Surfaces Of Nonnegative Euler Characteristic, Dan Slilaty
Matroid Duality From Topological Duality In Surfaces Of Nonnegative Euler Characteristic, Dan Slilaty
Mathematics and Statistics Faculty Publications
Let G be a connected graph that is 2-cell embedded in a surface S, and let G* be its topological dual graph. We will define and discuss several matroids whose element set is E(G), for S homeomorphic to the plane, projective plane, or torus. We will also state and prove old and new results of the type that the dual matroid of G is the matroid of the topological dual G*.
On The Existence Of Multiple Positive Solutions For A Semilinear Problem In Exterior Domains, Yinbin Deng, Yi Li
On The Existence Of Multiple Positive Solutions For A Semilinear Problem In Exterior Domains, Yinbin Deng, Yi Li
Mathematics and Statistics Faculty Publications
In this paper, we study the existence and nonexistence of multiple positive solutions for problem where Ω=N\ω is an exterior domain in N, ω⊂N is a bounded domain with smooth boundary, and N>2. μ⩾0, p>1 are some given constants. K(x) satisfies: K(x)∈Cαloc(Ω) and ∃C, ϵ, M>0 such that |K(x)|⩽C |x|l for any |x|⩾M, with l⩽ −2−ϵ. Some existence and …
Flux Recovery From Primal Hybrid Finite Element Methods, So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim
Flux Recovery From Primal Hybrid Finite Element Methods, So-Hsiang Chou, Do Y. Kwak, Kwang Y. Kim
Mathematics and Statistics Faculty Publications
A flux recovery technique is introduced and analyzed for the computed solution of the primal hybrid finite element method for second-order elliptic problems. The recovery is carried out over a single element at a time while ensuring the continuity of the flux across the interelement edges and the validity of the discrete conservation law at the element level. Our construction is general enough to cover all degreesof polynomialsand gridsof triangular or quadrilateral type. We illustrate the principle using the Raviart–Thomas spaces, but other well-known related function spaces such as the Brezzi–Douglas–Marini (BDM) or Brezzi–Douglas–Fortin–Marini (BDFM) space can be used as …
Sharp L2-Error Estimates And Superconvergence Of Mixed Finite Element Methods For Non-Fickian Flows In Porous Media, Richard E. Ewing, Yanping Lin, Tong Sun, Junping Wang, Shuhua Zhang
Sharp L2-Error Estimates And Superconvergence Of Mixed Finite Element Methods For Non-Fickian Flows In Porous Media, Richard E. Ewing, Yanping Lin, Tong Sun, Junping Wang, Shuhua Zhang
Mathematics and Statistics Faculty Publications
No abstract provided.
On The Regularity Of Solutions To Fully Nonlinear Elliptic Equations Via The Liouville Property, Qingbo Huang
On The Regularity Of Solutions To Fully Nonlinear Elliptic Equations Via The Liouville Property, Qingbo Huang
Mathematics and Statistics Faculty Publications
We show that any C1,1 solution to the uniformly elliptic equation F(D2u) = 0 must belong to C2,α, if the equation has the Liouville property.
Domain Functionals And Exit Times For Brownian Motion, Chaocheng Huang, David Miller
Domain Functionals And Exit Times For Brownian Motion, Chaocheng Huang, David Miller
Mathematics and Statistics Faculty Publications
Two domain functionals describing the averaged expectation of exit times and averaged variance of exit times of Brownian motion from a domain, respectively, are studied.
Absolutely Continuous Jacobi Operators, Steen Pedersen
Absolutely Continuous Jacobi Operators, Steen Pedersen
Mathematics and Statistics Faculty Publications
No abstract provided.
Transverse Group Actions On Bundles, Ian M. Anderson, Mark E. Fels
Transverse Group Actions On Bundles, Ian M. Anderson, Mark E. Fels
Mathematics and Statistics Faculty Publications
An action of a Lie group G on a bundle is said to be transverse if it is projectable and if the orbits of G on E are diffeomorphic under π to the orbits of G on M. Transverse group actions on bundles are completely classified in terms of the pullback bundle construction for G-invariant maps. This classification result is used to give a full characterization of the G invariant sections of E for projectable group actions.