We present a systematic and constructive methodology to devise various hybridized discontinuous Galerkin (HDG) methods for linearized shallow water equations. At the heart of our development is an upwind HDG framework obtained by hybridizing the upwind flux in the standard discontinuous Galerkin (DG) approach. The chief idea is to first break the uniqueness of the upwind flux across element bou...

In this paper, an output feedback discontinuous controller is proposed for a class of nonlinear systems to attenuate the disturbance influence on the system performance. Our main goal is to globally stabilize the nonlinear system in the presence of unknown structural system uncertainties and external disturbances. Our approach consists of constructing a high gain nonlinear observer to reconstru...

this paper deals with the boundary value problem involving the differential equationbegin{equation*}    ell y:=-y''+qy=lambda y, end{equation*} subject to the standard boundary conditions along with the following discontinuity  conditions at a point $ain (0,pi)$ begin{equation*}    y(a+0)=a_1 y(a-0),quad y'(a+0)=a_1^{-1}y'(a-0)+a_2 y(a-0),end{equation*}where $q(x),  a_1 , a_2$ are  real, $qin l...

emerging technologies such as biotheraputics are widely view as the source of new types of competitive advantage. despite their huge potential gaining advantages from these technologies requires adopting different types of managerial skills and insight than those utilized in the context of incremental improvements. this makes established firms particularly vulnerable to the challenges of these ...

In this paper, an output feedback discontinuous controller is proposed for a class of non-linear systems to attenuate the disturbance influence on the system performance. Our main goal is to globally stabilize the non-linear system in the presence of unknown structural system uncertainties and external disturbances. Our approach consists of constructing a high gain non-linear observer to recons...

We give an example of a bounded discontinuous divergence-free solution of a linear elliptic system with measurable bounded coefficients in R and a corresponding example for a Stokes-like system.

In this paper, a discontinuity in beams whose intensity is adjusted by the spring stiffness factor is modeled using a torsional spring. Adapting two analyses in strong and weak forms for discontinuous beams, the improved governing differential equations and the modified stiffness matrix are derived respectively. In the strong form, two different solution methods have been presented to make an a...

Linear systems with very large off-diagonal elements and discontinuous coefficients (LODC systems) arise in some modeling cases, such as those involving heterogeneous media. Such problems are usually solved by domain decomposition methods, but these can be difficult to implement on unstructured grids or when the boundaries between subdomains have a complicated geometry. Gordon and Gordon have s...

We consider an acoustic wave system with discontinuous coe cients and nonsmooth inputs. Existence, uniqueness and continuous dependence on input data of weak solutions are established.

In this paper, a discontinuity in beams whose intensity is adjusted by the spring stiffness factor is modeled using a torsional spring. Adapting two analyses in strong and weak forms for discontinuous beams, the improved governing differential equations and the modified stiffness matrix are derived respectively. In the strong form, two different solution methods have been presented to make an a...