Displaying similar documents to “A new method for numerical solution of checkerboard fields.”

Regularity and uniqueness for the stationary large eddy simulation model

Agnieszka Świerczewska (2006)

Applications of Mathematics

Similarity:

In the note we are concerned with higher regularity and uniqueness of solutions to the stationary problem arising from the large eddy simulation of turbulent flows. The system of equations contains a nonlocal nonlinear term, which prevents straightforward application of a difference quotients method. The existence of weak solutions was shown in A. Świerczewska: Large eddy simulation. Existence of stationary solutions to the dynamical model, ZAMM, Z. Angew. Math. Mech. 85 (2005), 593–604...

Numerical solution of a 1-d elastohydrodynamic problem in magnetic storage devices

Iñigo Arregui, José Jesús Cendán, Carlos Parés, Carlos Vázquez (2008)

ESAIM: Mathematical Modelling and Numerical Analysis

Similarity:

In this work we present new numerical methods to simulate the mechanics of head-tape magnetic storage devices. The elastohydrodynamic problem is formulated in terms of a coupled system which is governed by a nonlinear compressible Reynolds equation for the air pressure over the head, and a rod model for the tape displacement. A fixed point algorithm between the solutions of the elastic and hydrodynamic problems is proposed. For the nonlinear Reynolds equation, a characteristics method...

Regularity results for a class of obstacle problems

Michela Eleuteri (2007)

Applications of Mathematics

Similarity:

We prove some optimal regularity results for minimizers of the integral functional ∫ f ( x , u , D u ) d x belonging to the class K : = { u ∈ W 1 , p ( Ω ) u ≥ ψ } , where ψ is a fixed function, under standard growth conditions of p -type, i.e. L - 1 | z | p ≤ f ( x , s , z ) ≤ L ( 1 + | z | p ) .

The Neumann problem for some degenerate elliptic equations

Albo Carlos Cavalheiro (2006)

Applications of Mathematics

Similarity:

In the paper we study the equation L u = f , where L is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set Ω . We prove existence and uniqueness of solutions in the space H ( Ω ) for the Neumann problem.