Results 221 to 230 of about 139,050 (252)

A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations

Journal of Computational and Applied Mathematics, 2022
The authors propose a nonlinear vertex-centered finite volume (FV) scheme preserving the discrete maximum principle (DMP) for diffusion equations on distorted mildly meshes. They construct the vertex-centered scheme on dual meshes. They prove that their scheme satisfies the DMP, and show the advantages and characteristics of their scheme by some ...
Wang, Jiangfu, Sheng, Zhiqiang, Yuan, Guangwei   +2 more
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Analysis of the nonlinear scheme preserving the maximum principle for the anisotropic diffusion equation on distorted meshes

Science China Mathematics, 2022
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Sheng, Zhiqiang, Yuan, Guangwei
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A New Nonlinear Two-Point Flux Approximation Method for Solving the Anisotropic Diffusion Equation with Reduced Violations of the Discrete Maximum/Minimum Principle

SPE Journal, 2021
Summary A class of monotone cell-centered nonlinear finite-volume methods has been proposed in the past decade to solve the anisotropic diffusion equation. The nonlinear two-point flux approximation (TPFA) (NTPFA) method preserves the nonnegativity of the solution values but can violate the discrete maximum/minimum principle (DMP).
Wenjuan Zhang, Mohammed Al Kobaisi
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A Multipoint Flux Approximation with a Diamond Stencil and a Non-Linear Defect Correction Strategy for the Numerical Solution of Steady State Diffusion Problems in Heterogeneous and Anisotropic Media Satisfying the Discrete Maximum Principle

Journal of Scientific Computing, 2022
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T. M. Cavalcante, R. J. M. Lira Filho, A. C. R. Souza, D. K. E. Carvalho, P. R. M. Lyra   +4 more
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Discrete Maximum Principle Based on Repair Technique for Finite Element Scheme of Anisotropic Diffusion Problems

Advances in Applied Mathematics and Mechanics, 2014
AbstractIn this paper, we construct a global repair technique for the finite element scheme of anisotropic diffusion equations to enforce the repaired solutions satisfying the discrete maximum principle. It is an extension of the existing local repair technique. Both of the repair techniques preserve the total energy and are easy to be implemented. The
Chen, Xingding, Yuan, Guangwei, Yu, Yunlong   +2 more
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Maximum entropy principle for anisotropic plasma

Physics of Fluids B: Plasma Physics, 1991
Maximum entropy principle is applied to an anisotropic magnetized plasma where there is no free energy exchange among the longitudinal and transverse degrees of freedom.
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A Maximum Principal Preserving Meshfree Method for Anisotropic Diffusion Equations

Journal of Computational Physics
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Tian, Hao, Wang, Xiaofang, Sheng, Zhiqiang   +2 more
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A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation

Journal of Computational and Applied Mathematics
The authors present an improved finite volume method preserving the discrete maximum principle for the diffusion problem with heterogeneous coefficient. This scheme can deal with various cases, including that arbitrary cell edges are the discontinuous line, and then overcomes the defect of the existing schemes which assume that there has only one ...
Sheng, Zhiqiang, Yuan, Guangwei
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Maximum principle in potential theory and imbedding theorems for anisotropic spaces of differentiable functions

Siberian Mathematical Journal, 1988
In the first part of the paper some notions of the nonlinear potential theory on homogeneous groups are developed. In particular the generalized maximum principle for some type of kernels is proved. In the second part the maximum principle is used in connection in some imbedding theorems for anisotropic spaces of Bessel and Riesz potentials in ...
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A nonlinear finite volume element method preserving the discrete maximum principle for heterogeneous anisotropic diffusion equations

Journal of Computational and Applied Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dan Wu, Junliang Lv, Zhiqiang Sheng
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