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SPARSIFYING PRECONDITIONER FOR PSEUDOSPECTRAL APPROXIMATIONS OF INDEFINITE SYSTEMS ON PERIODIC STRUCTURES
Helmholtz equation Schrodinger equation preconditioner pseudospectral approximation indefinite matrix periodic structure sparse linear algebra
2015/7/14
This paper introduces the sparsifying preconditioner for the pseudospectral approximation of highly indefinite systems on periodic structures, which include the frequency-domain response problems of t...
Localized bases for finite dimensional homogenization approximations with non-separated scales and high-contrast
finite dimensional homogenization non-separated scales and high-contrast
2010/11/9
We construct finite-dimensional approximations of solution spaces of divergence form operators with $L^\infty$-coefficients. Our method does not rely on concepts of ergodicity or scale-separation, but...
THE APPROXIMATIONS OF THE EXACT BOUNDARY CONDITION AT AN ARTIFICIALBOUNDARY FOR LINEARIZED INCOMPRESSIBLE VISCOUS FLOWS
Oseen equations Artificial boundary Artificial boundary condition Finite element approximation Error estimate
2007/12/12
We consider the linearized incompressible Navier-Stokes (Oseen)
equations in a flat channel. A sequence of approximations to the exact
boundary condition at an artificial boundary is derived. Then t...
We use a combination of both algebraic and numerical
techniques to construct a $C^1$-continuous, piecewise $(m,n)$
rational $\epsilon$-approximation of a real algebraic plane curve of
degree $d$.
...