6 problems

A fluid domain in a fluid-structure-interaction problem is quasi-closed (or nearly closed) when it is enclosed in part by a flexible structure, in part by a boundary carrying Diric…

The hybrid pressure formulation produces a global problem matrix obtained from the discretization of viscous laminar incompressible flows. Negative-definiteness conjecture. The mat…

Symmetric-limiter conjecture. The requirement that all symmetric limiter functions lie in the Sweby region is a necessary condition for incompressible flow when symmetry is imposed…

Let $\Omega$ be the problem domain, let $d$ be the spatial dimension, and let $\mathcal{V}^h \subset (H^1(\Omega))^d$ and $\mathcal{Q}^h \subset H^1(\Omega)$ be discrete velocity a…

The full-order model (FOM) uses global proper orthogonal decomposition (POD) bases, and the conservative POD-DG model is observed to have better stability properties than the conse…

Let $D$ be a simply connected domain, and consider the coupled system of integral equations described above. Rank-one deficiency conjecture. The coupled system of integral equation…