Results 171 to 180 of about 6,260 (222)
Multigrid Method for Maxwell's Equations
SIAM Journal on Numerical Analysis, 1998 A multigrid method for Maxwell's equations is presented. Under certain assumptions on the computational domain and the material functions, a rigorous proof of the asymptotic optimality of the multigrid method can be given. It is shown that convergence does not deteriorate on very fine grids. Numerical experiments confirm the efficiency of the method.
Hiptmair, Ralf
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On the Algebraic Multigrid Method
Journal of Computational Physics, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chang, Qianshun +2 more
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Asynchronous Multigrid Methods
2019 IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2019Reducing synchronization in iterative methods for solving large sparse linear systems may become one of the most important goals for such solvers on exascale computers. Research in asynchronous iterative methods has primarily considered basic iterative methods. In this paper, we examine how multigrid methods can be executed asynchronously.
Jordi Wolfson-Pou, Edmond Chow
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On the Multigrid Waveform Relaxation Method
SIAM Journal on Scientific Computing, 1995The authors study the multigrid waveform relaxation method (MGWRM) for solving initial value problems of the form \[ {du \over dt} + L_h u = f, \quad t > 0, \quad u(0) = u_0, \text{ with }L_h \in\mathbb{C}^{n \times n}, \tag{1} \] typically resulting from the spatial discretization of parabolic initial-boundary value problems on some grid with the ...
Shlomo Ta'asan, Hong Zhang 0006
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2010
In this article, we discuss multigrid methods for partial differential operators appearing in computational finance. We focus on multigrid for anisotropic problems, for the pricing of multiasset options, for linear complementarity problems for American options, and multigrid as a preconditioner to address the robustness of iterative solution methods.
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In this article, we discuss multigrid methods for partial differential operators appearing in computational finance. We focus on multigrid for anisotropic problems, for the pricing of multiasset options, for linear complementarity problems for American options, and multigrid as a preconditioner to address the robustness of iterative solution methods.
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Multigrid methods for toeplitz matrices
Calcolo, 1991The authors consider the solution of systems of linear equations with special Toeplitz matrices of classes \(T\) or \(B^ 0\); the latter contains the matrices arising from the finite difference discretization of the differential operator \(\partial^{2m}/\partial x^{2m}\) over an interval with homogeneous conditions on the derivatives of lower order ...
FIORENTINO G., SERRA CAPIZZANO, STEFANO
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Multigrid contact detection method
Physical Review E, 2007Contact detection is a general problem of many physical simulations. This work presents a O(N) multigrid method for general contact detection problems (MGCD). The multigrid idea is integrated with contact detection problems. Both the time complexity and memory consumption of the MGCD are O(N).
Kejing, He, Shoubin, Dong, Zhaoyao, Zhou
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Multigrid Methods for Variational Problems
SIAM Journal on Numerical Analysis, 1982This paper develops a very simple but powerful theory for multigrid methods which applies directly to variationally posed operator equations.
McCormick, S. F., Ruge, J. W.
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Multigrid Methods for the Stokes System
Computing in Science & Engineering, 2006The choice of multigrid method depends strongly on the type of discretization used and the problem formulation employed. This article gives an overview of multigrid methods for the Stokes equations, focusing on the saddle-point problem and on stable discretizations for staggered and vertex-centered ...
Cornelis W. Oosterlee +1 more
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UNSTRUCTURED MULTIGRID METHOD FOR SHELLS
International Journal for Numerical Methods in Engineering, 1996Summary: An accelerated multigrid method, which exploits shell element formulation to speed up the iterative process, is developed for inherently poor conditioned thin domain problems on unstructured grids. Its building blocks are: (i) intergrid transfer operators based on the shell element shape functions, (ii) heavy smoothing procedures in the form ...
Fish, J., Pan, L., Belsky, V., Gomaa, S.
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