Submit Manuscript | http://medcraveonline.com Abbreviations: 1D: One-Dimensional; 2D: Two-Dimensional; 3D: Three-Dimensional; DGTD: Discontinuous Galerkin TimeDomain; FEs: Finite Elements; TM: Transverse Magnetic; TE: Transverse Electric; ODE: Ordinary Differential Equations; LSERK: Low-Storage Explicit Runge-Kutta; CFL: Courant-Friedrichs-Levy; TD: Time-Domain; PEC: Perfect Electric Conductor;...

Submit Manuscript | http://medcraveonline.com Abbreviations: 1D: One-Dimensional; 2D: Two-Dimensional; 3D: Three-Dimensional; DGTD: Discontinuous Galerkin TimeDomain; FEs: Finite Elements; TM: Transverse Magnetic; TE: Transverse Electric; ODE: Ordinary Differential Equations; LSERK: Low-Storage Explicit Runge-Kutta; CFL: Courant-Friedrichs-Levy; TD: Time-Domain; PEC: Perfect Electric Conductor;...

We study the existence of global-in-time weak solutions to a coupled microscopic-macroscopic bead-spring model which arises from the kinetic theory of dilute solutions of polymeric liquids with noninteracting polymer chains. The model consists of the unsteady incompressible Navier–Stokes equations in a bounded domain Ω ⊂ R, d = 2 or 3, for the velocity and the pressure of the fluid, with an ela...

The convection-diffusion equation is a fundamental that exists widely. consists of two processes: diffusion and convection. can also be called drift-diffusion equaintion. convection – mainly characterizes natural phenomenon in which physical particles, energy are transferred system. well-known linear transport one kind equation. describe the scalar field such as material feature, chemical react...

In this paper, we present an intensive investigation of the finite volume method (FVM) compared to difference methods (FDMs). order show main in way approaching solution, take Burgers equation and Buckley–Leverett as examples simulate previously mentioned methods. On one hand, results using schemes Lax–Friedrichs Lax–Wendroff. other apply Godunov’s scheme method. Moreover, how starting with a v...

We consider a Poisson boundary value problem and its functional a posteriori error estimate derived by S. Repin in 1999. The estimate majorizes the H1 seminorm of the error of the discrete solution computed by FEM method and contains a free ux variable from the H div space. In order to keep the estimate sharp, a procedure for the minimization of the majorant term with respect to the ux variable...

Abstract. The nonoscillatory central difference scheme of Nessyahu and Tadmor is a Godunovtype scheme for one-dimensional hyperbolic conservation laws in which the resolution of Riemann problems at the cell interfaces is bypassed thanks to the use of the staggered Lax–Friedrichs scheme. Piecewise linear MUSCL-type (monotonic upstream-centered scheme for conservation laws) cell interpolants and ...

A non-self-adjoint, rank-one Friedrichs model operator in L2(R) is considered in the case where the determinant of perturbation is an outer function in the half-planes C±. Its spectral structure is investigated. The impact of the linear resolvent growth condition on its spectral properties (including the similarity problem) is studied.