Maximum principle for the finite element solution of time dependent anisotropic diffusion problems [PDF]
Numerical Methods for Partial Differential Equations, 2013 Preservation of the maximum principle is studied for the combination of the linear finite element method in space and the $\theta$-method in time for solving time dependent anisotropic diffusion problems. It is shown that the numerical solution satisfies
Huang, Weizhang, Li, Xianping
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Maximum principles for anisotropic elliptic inequalities [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
R. FORTINI +2 more
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THIRD ORDER MAXIMUM-PRINCIPLE-SATISFYING DG SCHEMES Third Order Maximum-Principle-Satisfying DG schemes for Convection-Diffusion problems with Anisotropic Diffusivity DIFFUSIVITY [PDF]
Journal of Computational Physics, 2019 For a class of convection-diffusion equations with variable diffusivity, we construct third order accurate discontinuous Galerkin (DG) schemes on both one and two dimensional rectangular meshes. The DG method with an explicit time stepping can well be applied to nonlinear convection-diffusion equations.
Yu, Hui, Liu, Hailiang
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Discrete Maximum Principle for the Weak Galerkin Method for Anisotropic Diffusion Problems [PDF]
Communications in Computational Physics, 2015 AbstractA weak Galerkin discretization of the boundary value problem of a general anisotropic diffusion problem is studied for preservation of the maximum principle. It is shown that the direct application of the M-matrix theory to the stiffness matrix of the weak Galerkin discretization leads to a strong mesh condition requiring all of the mesh ...
Huang, Weizhang, Wang, Yanqiu
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Maximum principle in linear finite element approximations of anisotropic diffusion–convection–reaction problems [PDF]
Numerische Mathematik, 2013 21 pages, 23 ...
Lu, Changna +2 more
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A method to analyze the influence of mechanical strain on dermal collagen morphologies
Scientific Reports, 2021 Collagen fibers and their orientation play a major role in the mechanical behavior of soft biological tissue such as skin. Here, we present a proof-of-principle study correlating mechanical properties with collagen fiber network morphologies. A dedicated
Maximilian Witte +4 more
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A Dielectric Elastomer Actuator-Driven Vibro-Impact Crawling Robot
Micromachines, 2022 Over the last decade, many bio-inspired crawling robots have been proposed by adopting the principle of two-anchor crawling or anisotropic friction-based vibrational crawling.
Chuang Wu +3 more
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Enforcing the non-negativity constraint and maximum principles for diffusion with decay on general computational grids [PDF]
, 2010 In this paper, we consider anisotropic diffusion with decay, and the diffusivity coefficient to be a second-order symmetric and positive definite tensor.
Arnold +65 more
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Geomatics, Natural Hazards & Risk, 2020 Electrical resistivity of sedimentary rock-soil is highly variable and governed mainly by a wide range of properties including resistivities of both solid matrix and fluid, cracks or pores, fluid saturation, and crack fabric (e.g.
Tao Xie, Qing Ye, Jun Lu
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International Journal for Computational Civil and Structural Engineering, 2023 The article defines the main results for the development of reinforced concrete mechanics. In the isotropic medium between the cracks is used "first object - flows-blocks", "second object - main cracks" and the effect of reinforced concrete, the ...
Vladimir Kolchunov
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