Search Results - V-cycle multigrid algorithm

Uniform Convergence of V-cycle Multigrid Algorithms for Two-Dimensional Fractional Feynman–Kac Equation by Chen, Minghua, Deng, Weihua, Serra-Capizzano, Stefano

“…), it is known that the V-cycle multigrid method (MGM) can significantly lower the computational cost…”
Get full text

V-cycle Multigrid Algorithms for Discontinuous Galerkin Methods on Non-nested Polytopic Meshes by Antonietti, P. F., Pennesi, G.

“…In this paper we analyze the convergence properties of V -cycle multigrid algorithms for the numerical solution of the linear system of equations stemming from discontinuous Galerkin discretization…”
Get full text

Multigrid Algorithm for Immersed Finite Element Discretizations of Elliptic Interface Problems by Chu, Hanyu, Song, Yongzhong, Ji, Haifeng, Cai, Ying

“… We prove that the convergence of W-cycle multigrid algorithm and the condition number of the variable V-cycle as preconditioner are optimal by verifying the regularity-approximation assumption…”
Get full text

V-cycle multigrid algorithms for discontinuous Galerkin methods on non-nested polytopic meshes by Antonietti, P F, Pennesi, G

“…In this paper we analyse the convergence properties of V-cycle multigrid algorithms for the numerical solution of the linear system of equations arising from discontinuous Galerkin discretization…”
Get full text

Parallel multigrid method for solving inverse problems by Al-Mahdawi, H.K., Sidikova, A. I, Alkattan, Hussein, Abotaleb, Mostafa, Kadi, Ammar, El-kenawy, El-Sayed M

“… A new parallel algorithm for the multigrid process has been developed. The proposed algorithm is based on a V-cycle mixed with the two-grid method…”
Get full text

Uniform convergence of V-cycle multigrid algorithms for two-dimensional fractional Feynman-Kac equation by Chen, Minghua, Deng, Weihua, Serra-Capizzano, Stefano

“…In this paper we derive new uniform convergence estimates for the V-cycle MGM applied to symmetric positive definite Toeplitz block tridiagonal matrices, by also discussing few connections with previous results…”
Get full text

Analysis of V-Cycle Multigrid Algorithms for Forms Defined by Numerical Quadrature by Bramble, J. H., Goldstein, C. I., Pasciak, J. E.

“…The authors describe and analyze certain V-cycle multigrid algorithms with forms defined by numerical quadrature applied to the approximation of symmetric second-order elliptic boundary value problems…”
Get full text

A simplified new multigrid algorithm of lattice Boltzmann method for steady states by An, Bo, Bergadà, J.M., Sang, W.M.

“… Based on the popular V-cycle multigrid algorithm, a simplified multigrid algorithm is presented and validated through the simulations of the classic lid-driven cavity flow for steady states…”
Get full text

Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D poisson equation by Wang, Yin, Zhang, Jun

“…, Richardson extrapolation technique, and an operator based interpolation scheme. We use multigrid V-Cycle procedure to build our multiscale multigrid algorithm, which is similar to the full multigrid method (FMG…”
Get full text

Uniform convergence of multigrid V-cycle on adaptively refined finite element meshes for second order elliptic problems by Wu, Haijun, Chen, Zhiming

“…In this paper we prove the uniform convergence of the standard multigrid V-cycle algorithm with the Gauss-Seidel relaxation performed only on the new nodes and their 'immediate' neighbors for discrete…”
Get full text

A Geometric Multigrid Method for 3D Magnetotelluric Forward Modeling Using Finite-Element Method by Huang, Xianyang, Yin, Changchun, Wang, Luyuan, Liu, Yunhe, Zhang, Bo, Ren, Xiuyan, Su, Yang, Li, Jun, Chen, Hui

“… Then, we develop a V-cycle geometric multigrid algorithm to solve the linear equations system. To demonstrate the efficiency and effectiveness of our geometric…”
Get full text

Comparison of Second- and Fourth-Order Discretizations for Multigrid Poisson Solvers by Gupta, Murli M., Kouatchou, Jules, Zhang, Jun

“…We combine a compact high-order difference approximation with multigrid V-cycle algorithm to solve the two-dimensional Poisson equation with Dirichlet boundary conditions…”
Get full text

A convergent multigrid cycle for the hybridized mixed method by Gopalakrishnan, Jayadeep, Tan, Shuguang

“…We consider the application of a variable V‐cycle multigrid algorithm for the hybridized mixed method for second…”
Get full text

Designing Resilient Parallel Multigrid Methods on Unstructured Adaptive Meshes by Fung, Frederick

“…In this thesis, we develop a class of fault-tolerant geometric multigrid method to address the loss of numerical data on faulty processors…”
Get full text

Uniform convergence estimates for multigrid $V$-cycle algorithms with less than full elliptic regularity by Bramble, James H., Pasciak, Joseph E.

Get full text

Multigrid algorithm for the cell-centered finite difference method II: discontinuous coefficient case by Kwak, Do Y., Lee, Jun S.

“…We consider a multigrid algorithm for the cell centered finite difference scheme with a prolongation operator depending on the diffusion coefficient…”
Get full text

An explicit Chebyshev pseudospectral multigrid method for incompressible Navier–Stokes equations by Zhang, W., Zhang, C.H., Xi, G.

“…) scheme and implement it through V-cycle multigrid and full multigrid (FMG) strategies. Four iterative methods are designed including the single grid method…”
Get full text

V -Cycle Multigrid for Cell-Centered Finite Differences by Kwak, Do Y.

“…We introduce and analyze a V-cycle multigrid algorithm for cell-centered finite difference methods applied to second-order elliptic boundary value problems…”
Get full text

Optimized partial semicoarsening multigrid algorithm for heat diffusion problems and anisotropic grids by Oliveira, F., Pinto, M.A.V., Marchi, C.H., Araki, L.K.

“… The systems of equations are solved with the lexicographic and red–black Gauss–Seidel methods associated to the geometric multigrid with correction scheme and V-cycle…”
Get full text

Analysis of a multigrid preconditioner for Crouzeix-Raviart discretization of elliptic partial differential equation with jumpcoefficients by Zhu, Yunrong

“… We showed that the convergence rates of the (multiplicative) two-grid and multigrid V-cycle algorithms will deteriorate rapidly because of large jumps in coefficient…”
Get full text