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Finite element exterior calculus for parabolic problems [PDF]
, 2012 In this paper, we consider the extension of the finite element exterior calculus from elliptic problems, in which the Hodge Laplacian is an appropriate model problem, to parabolic problems, for which we take the Hodge heat equation as our model problem ...
Arnold +17 more
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The soft discrete element method
Granular Matter, 2021 In order to accelerate simulations of assemblies of highly deformable grains, a novel numerical approach, called Soft Discrete Element Method (SDEM) is presented. It consists in extending the classical DEM by introducing the deformability of the grains in a simplified way.
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Boundary element method based on preliminary discretization [PDF]
Mathematical Models and Computer Simulations, 2014 The final publication is available at Springer via http://dx.doi.org/10.1134/S2070048214020082 A new numerical method for solving wave diffraction problems is given. The method is based on the concept of boundary elements; i.e., the unknown values are the field values on the surface of the scatterer. An analog of a boundary element method rather than a
Poblet-Puig, Jordi +2 more
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Investigation of a boundary simulation of continuity using the discrete solid element method
Advances in Mechanical Engineering, 2019 The discrete solid element method is an efficient numerical method that simulates the large deformation, strong material nonlinearity, fracture, and dynamic problems of continuity.
Baochen Zhu, Ruoqiang Feng
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International Journal for Computational Civil and Structural Engineering, 2020 Numerical solution of the problem of isotropic plate analysis with the use of B-spline discrete-continual finite element method (specific version of wavelet-based discrete-continual finite element method) is under consideration in the distinctive paper ...
Pavel Akimov, Marina Mozgaleva
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Pointwise best approximation results for Galerkin finite element solutions of parabolic problems [PDF]
, 2016 In this paper we establish a best approximation property of fully discrete Galerkin finite element solutions of second order parabolic problems on convex polygonal and polyhedral domains in the $L^\infty$ norm.
Leykekhman, Dmitriy, Vexler, Boris
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Discrete element method approach to modelling VPP dampers
MATEC Web of Conferences, 2018 In this paper, we present a novel approach to modeling and analysis of Vacuum Packed Particle dampers (VPP dampers) with the use of Discrete Element Method (DEM). VPP dampers are composed of loose granular medium encapsulated in a hermetic envelope, with
Chodkiewicz Pawel +2 more
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, 2013 In this paper we present PDE and finite element analyses for a system of partial differential equations (PDEs) consisting of the Darcy equation and the Cahn-Hilliard equation, which arises as a diffuse interface model for the two phase Hele-Shaw flow. We
G., Steven Wise, Xiaobing Feng
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Dual virtual element method for discrete fractures networks
, 2017 Discrete fracture networks is a key ingredient in the simulation of physical processes which involve fluid flow in the underground, when the surrounding rock matrix is considered impervious.
Fumagalli, Alessio, Keilegavlen, Eirik
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Advances in Civil Engineering, 2020 A brief literature review of numerical studies on excavation damage zone (EDZ) is conducted to compare the main numerical methods on EDZ studies. A hybrid finite-discrete element method is then proposed to model the EDZ induced by blasts.
Huaming An, Hongyuan Liu, Haoyu Han
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