We consider the Cauchy problem for a coupled system generalizing the thermoelastic plate equations. First we prove resolvent estimates for the stationary operator and conclude the analyticity of the associated semigroup in Lp-spaces, 1 < p < ∞, for certain values of the parameters of the system; here the Newton polygon method is used. Then we prove decay rates of the Lq(Rn)-norms of solutions, ...

New X-ray observations from the Chandra and XMM-Newton observatories have shown that cooling of the intracluster medium is occurring at rates that are now approaching the star formation rates measured in cD galaxies at the bases of cooling flows. Star formation proceeds in repeated episodes, possibly indicating an intermittent fuel supply. Coupled with new evidence for heating by AGN, a new par...

Flame sheet problems are on the natural route to the numerical solution of multidimensional ames, which, in turn, are important in many engineering applications. In order to model the ame structure more accurately, we use the vorticity-velocity formulation of the uid ow equations instead of the streamfunction-vorticity approach. The numerical solution of the resulting nonlinear coupled elliptic...

Abstract. The modeling of the microphysics of a population of atmospheric particles interacting through a common medium leads to the solution of a large system of weakly coupled differential-algebraic equations. An implicit time discretization of the system of differential-algebraic equations is solved with a Newton method at each time step. The structure of the global system and the sparsity o...

This paper discusses the usage of a two-dimensional electrochemical battery model of a lead acid battery cell as a state-of-health indicator in an embedded application. The model equations are a set of coupled highly non-linear partial differential equations that evolve with time. At each time step, these equations are solved using Newton’s Method, and a direct skyline LU solver without partial...

Fully implicit, fully coupled techniques are developed for simulating multiphase flow with nonequilibrium mass transfer between phases, with application to groundwater contaminant flow and transport. Numerical issues which are addressed include: use of MUSCL or Van Leer flux limiters to reduce numerical dispersion, use of full or approximate Jacobian for flux limiter methods, and variable subst...

We present a vertex-centered finite volume method for the fully coupled, fully implicit discretization of two-phase flow in fractured porous media. Fractures are discretely modeled as lower dimensional elements. The method works on unstructured, locally refined grids and on parallel computers with distributed memory. An implicit time discretization is employed and the nonlinear systems of equat...

This paper presents the fast preconditioned iterative solution to large sparse linear systems arising from the application of Newton and quasi-Newton methods to fully coupled elastohydrodynamic lubrication line and point contact problems. The new blockwise preconditioner that is presented combines the use of multigrid for the linear elasticity block and a separate approximation to precondition ...

A basic objective in computational uid dynamics is the eecient solution of nonlinear systems of equations that arise in nite element modeling of convective-diiusive ow. The use of implicit Newton-like schemes to solve the coupled system of Navier-Stokes and continuity equations enables rapid convergence, although the well-known diiculty of indirect pressure linkage requires attention when formi...

A basic objective in computational uid dynamics is the eecient solution of nonlinear systems of equations that arise in nite element modeling of convective-diiusive ow. The use of implicit Newton-like schemes to solve the coupled system of Navier-Stokes and continuity equations enables rapid convergence, although the well-known diiculty of indirect pressure linkage requires attention when formi...