Results 21 to 30 of about 648,541 (281)
The nonconforming virtual element method [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2016 We introduce the nonconforming Virtual Element Method (VEM) for the approximation of second order elliptic problems. We present the construction of the new element in two and three dimensions, highlighting the main differences with the conforming VEM and the classical nonconforming finite element methods. We provide the error analysis and establish the
Ayuso De Dios, B +2 more
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Mathematics in Engineering, 2023 We discuss the design and implementation details of two conforming virtual element methods for the numerical approximation of two partial differential equations that emerge in phase-field modeling of fracture propagation in elastic material.
Yu Leng +6 more
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Study of the enwrapping of the front profiles of the active elements of a three-screw compressor [PDF]
MATEC Web of Conferences, 2022 The paper proposes a method for identifying the front profile of a worm-type active element, consisting of a three-screw compressor. The purpose of this identification is to study the frontal enwrapping between the profiles of the driver and the driven ...
Baroiu N. +4 more
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Virtual element method for quasilinear elliptic problems [PDF]
IMA Journal of Numerical Analysis, 2019 Abstract A virtual element method for the quasilinear equation $-\textrm{div} ({\boldsymbol \kappa }(u)\operatorname{grad} u)=f$ using general polygonal and polyhedral meshes is presented and analysed. The nonlinear coefficient is evaluated with the piecewise polynomial projection of the virtual element ansatz.
Cangiani A. +3 more
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Mathematical Modelling and Analysis, 2022 This paper proposes virtual element methods for approximating the mathematical model consisting of coupled poroelastic and Advection-Diffusion-Reaction (ADR) equations.
Nitesh Verma, Sarvesh Kumar
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Superconvergent gradient recovery for virtual element methods [PDF]
Mathematical Models and Methods in Applied Sciences, 2019 Virtual element method is a new promising finite element method using general polygonal meshes. Its optimal a priori error estimates are well established in the literature. In this paper, we take a different viewpoint. We try to uncover the superconvergent property of virtual element methods by doing some local post-processing only on the degrees of ...
Guo, Hailong, Xie, Cong, Zhao, Ren
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AN IMPROVED DISTINCT ELEMENT METHOD FOR HIGH PACKING FRACTION STOCHASTIC MEDIA MODELING [PDF]
EPJ Web of Conferences, 2021 Due to the generality and flexibility of Monte Carlo method in geometric modeling, Monte Carlo method plays an important role in accurate simulation of random media.
Feng Zhiyuan, An Nan, Wang Kan
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Basic principles of mixed Virtual Element Methods [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 2014 The aim of this paper is to give a simple, introductory presentation of the extension of the Virtual Element Method to the discretization of H(div)-conforming vector fields (or, more generally, of (n-1)-Cochains). As we shall see, the methods presented here can be seen as extensions of the so-called BDM family to deal with more general element ...
F Brezzi, RS Falk, LD Marini
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Some error analysis on virtual element methods [PDF]
Calcolo, 2018 Some error analysis on virtual element methods including inverse inequalities, norm equivalence, and interpolation error estimates are presented for polygonal meshes which admits a virtual quasi-uniform triangulation.
Chen, Long, Huang, Jianguo
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Virtual Elements on polyhedra with a curved face
Bulletin of Mathematical Sciences, 2023 We revisit classical Virtual Element approximations on polygonal and polyhedral decompositions. We also recall the treatment proposed for dealing with decompositions into polygons with curved edges.
Franco Brezzi, L. Donatella Marini
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