Numerical solution of poisson's equation with arbitrarily shaped boundaries using a domain decomposition and overlapping technique

Miki, Kazuyoshi; Takagi, Toshiyuki

doi:10.1016/0021-9991(86)90262-7

Cited by 10 publications

(4 citation statements)

References 5 publications

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“…ZJk H1(J ,k)+H4(J ,k)' (16) G4(j, 1) + G3(j, 1) G1(j, K ) + G2(j, The same procedure we use for horizontal free boundary between the blocks. (17) 6.…”

Section: Applying the Iteration Methodsmentioning

confidence: 97%

“…This approach permits to take into account accurately a boundary conditions on a boundary of arbitrary shape. The article [15] presents a method for generation of boundary-fitted 3D orthogonal mesh, and publication [16] demonstrates an efficiency of applying a direct-solution scheme for numerically solving the 3D Poisson's equation with using a boundary-fitted coordinate transformation. We use PlC-model for the problems of high-current electronics and aberration model for precisional image optics.…”

Section: Stationar Electron Optical Problemsmentioning

confidence: 99%

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<title>Some models and codes in imaging and high-current electron optics</title>

Иванов¹

1997

Charged Particle Optics III

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The algorithms of numerical simulation of multi dimensional electromagnetic fields and PlC models for particles have been described. A new approach to generation a boundary-fitted curvilinear mesh based on five-parameters representation of mapping the complex-shape physical domain to a set of rectangular blocks is used. This algorithm permits to construct a fast and universal mesh generatior with flexible management with mesh paramenters, condensing the mesh knotes near edges and in subdomain with high gradients of solution. This way is able to reduce the total number of mesh knotes in many times in compare with using a regular rectangular mesh. The codes with Poisson and Maxwell solvers have been implemented, those use as finite-difference as boundary-element methods. The results of this technique are demonstrated for simulation 2D and 3D problems.

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“…ZJk H1(J ,k)+H4(J ,k)' (16) G4(j, 1) + G3(j, 1) G1(j, K ) + G2(j, The same procedure we use for horizontal free boundary between the blocks. (17) 6.…”

Section: Applying the Iteration Methodsmentioning

confidence: 97%

Section: Stationar Electron Optical Problemsmentioning

confidence: 99%

<title>Some models and codes in imaging and high-current electron optics</title>

Иванов¹

1997

Charged Particle Optics III

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“…The conventional overlapping technique exchanges data through single layer overlapping, and hence takes so many iteration times [7]. The multi-layer overlapping solves this problem.…”

Section: Multi-layer Overlapping Techniquementioning

confidence: 99%

“…Zhu and Munro [5] proposed the second-order finite element method for the design of arbitrary shaped emitter guns, while the boundary-fitted coordinate transformation method [6] [7] was shown to be a flexible way to generate a finite element mesh by Khursheed [8].…”

Section: Introductionmentioning

confidence: 99%

Axially symmetric electron beam trajectory simulation

Ose

Yoshinari

2000

Japan J. Indust. Appl. Math.

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An axially symmetric simulator for the Schottky emission gun has been developed using the boundary-fitted coordinate transformation method. The domain decomposition method is successfully employed with multi-layer overlapping, which allows complicated electrode structures to be modeled and the electric potential computation to converge quickly. The angular intensity distribution of Swanson's Schottky emission gun is analyzed, and good agreement is seen with his experimental data. The simulation results show that angular intensity and virtual source size are remarkably dependent on the real emitter size.

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A finite-difference method for incompressible flows using a multi-block technique

Takeda¹,

Hsu²

Twelfth International Conference on Numerical Methods in Fluid Dynamics

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Numerical solution of poisson's equation with arbitrarily shaped boundaries using a domain decomposition and overlapping technique

Cited by 10 publications

References 5 publications

<title>Some models and codes in imaging and high-current electron optics</title>

<title>Some models and codes in imaging and high-current electron optics</title>

Axially symmetric electron beam trajectory simulation

A finite-difference method for incompressible flows using a multi-block technique

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