Results 31 to 40 of about 80 (76)
Optimal Injection Operator and High Order Schemes for Multigrid Solution of 3D Poisson Equation
We present a multigrid solution of the three dimensional Poisson equation with a fourth order 19-point compact finite difference scheme. Using a red-black ordering of the grid points and some geometric considerations, we derive an optimal scaled ...
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Numerical solution of one-dimensional Burgers equation
This paper presents finite-difference solution and analytical solution of the finite-difference approximations based on the standard explicit method to the one-dimensional Burgers equation which arises frequently in the mathematical modelling used to ...
Özdes, A, Bahadir, AR, Kutluay, S
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Preconditioned Krylov Subspace Methods for Solving Nonsymmetric Matrices from CFD Applications
We conduct experimental study on the behavior of several preconditioned iterative methods to solve nonsymmetric matrices arising from computational fluid dynamics (CFD) applications.
Jun Zhang
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We investigate the use of sparse approximate inverse techniques in a multi-level block ILU preconditioner to design a robust and efficient parallelizable preconditioner for solving general sparse matrices.
Jun Zhang
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Acceleration and Stabilization Properties of Minimal Residual Smoothing Technique in Multigrid
We analyze the standard multigrid method accelerated by a minimal residual smoothing (MRS) technique. We show that MRS can accelerate the convergence of the slow residual components, thus accelerates the overall multigrid convergence.
Jun Zhang
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This is the user guide for Bruce's General Solver (BuGS). BuGS is a toolkit for solving single space dimensional, nonlinear systems of partial differential equations which are at most order one in time and order two in space.
Bruce Ayati
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A Cost-Effective Multigrid Projection Operator
A novel heuristic residual analysis is proposed to derive a computationally cost-effective residual projection operator in multigrid with the five-point Red-Black Gauss-Seidel relaxation for solving the two dimensional Poisson equation.
Jun Zhang
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Повишаване на изчислителната скорост на ускорена схема за възрастово структуриран дифузионен модел
Дойчин Бояджиев, Галена Пеловска - В статията се предлага оптимизиран алгоритъм, който е по-бърз в сравнение с по- рано описаната ускорена (модифицирана STS) диференчна схема за възрастово структуриран популационен модел с дифузия.
Boyadzhiev, Doychin, Pelovska, Galena
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On Cyclic Reduction and Finite Difference Schemes
We investigate a family of finite difference schemes for discretizing the two dimensional Poisson equation on both the standard and the reduced grids. We study the relation between the cyclic reduction method and the discretization schemes on different ...
Jun Zhang +2 more
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We employ multi-level minimal residual smoothing (MRS) as a pre-optimization technique to accelerate standard multigrid convergence. The MRS method is used to improve the current multigrid iterate by smoothing its corresponding residual before the latter
Jun Zhang
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