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Single-iteration multigrid wavefront reconstruction schemes (SIMG) were implemented and validated on the adaptive optics system at the Hale 5.1 meter telescope at the Palomar Observatory. Results indi...
We develop a nonlinear multigrid method to solve the steady state of microflow,which is modeled by the high order moment system derived recently for the steadystate Boltzmann equation with ES-BGK coll...
In this paper, a new type of iteration method is proposed to solve eigenvalue problem by finite element method. With this new scheme, solving eigenvalue problem is transformed to solving a series of...
We propose a multigrid method to solve the molecular mechanics model (molecular dynamics at zero temperature). The Cauchy-Born elasticity model is employed as the coarse grid operator and the elasti...
We consider the convergence theory of local multigrid methods for H1()-elliptic and H(curl,)-elliptic variational problems on bounded Lipschitz domains. In the context of lowest order conforming fin...
Smoother is the most important component of parallel multigrid methods, however, the widely used Gauss-Seidel smoother is difficult to be parallelized. This paper proposes a new parallel smoother, J...
In this paper, we consider the cascadic multigrid method for a parabolic type equa- tion. Backward Euler approximation in time and linear 痭ite element approximation in space are employed. A stabilit...
We consider H(curl; ?-elliptic variational problems on bounded Lipschitz polyhedra and their 痭ite element Galerkin discretization by means of lowest order edge elements. We assume that the underlyin...
We present and analyze a multigrid algorithm for the acoustic single layer equation in two dimensions. The boundary element formulation of the equation is based on piecewise constant test functions an...
Abstract: In this paper, we present a multigrid preconditioner for solving the linear system arising from the piecewise linear nonconforming Crouzeix-Raviart discretization of second order elliptic pr...
Abstract: We develop a fast numerical algorithm for large scale zero-sum stochastic games with perfect information, which combines policy iteration and algebraic multigrid methods. This algorithm can ...
We present an adaptive multigrid Dirac solver developed for Wilson clover fermions which offers order-of-magnitude reductions in solution time compared to conventional Krylov solvers. The solver incor...
We present an adaptive multigrid Dirac solver developed for Wilson clover fermions which offers order-of-magnitude reductions in solution time compared to conventional Krylov solvers. The solver incor...
We present an adaptive multigrid Dirac solver developed forWilson clover fermions which offers order-of-magnitude reductions in solution time compared to conventional Krylov solvers. The solver inco...
In this paper, we discuss the finite volume element method of $P_1$-nonconforming quadrilateral element for elliptic problems and obtain optimal error estimates for general quadrilateral partition....

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