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20182023
most citedA Meshfree Peridynamic Model for Brittle Fracture in Randomly Heterogeneous Materials

29 citations · 84 across the 21 of their papers we have counts for

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Showing 2022Show all

12 papers · 1 filter

math.NA2022★ 1 cited

OBMeshfree: An optimization-based meshfree solver for nonlocal diffusion and peridynamics models

Yiming Fan, Huaiqian You, Yue Yu

We present OBMeshfree, an Optimization-Based Meshfree solver for compactly supported nonlocal integro-differential equations (IDEs) that can describe material heterogeneity and bri…

cond-mat.mtrl-sci2022

Bayesian Nonlocal Operator Regression (BNOR): A Data-Driven Learning Framework of Nonlocal Models with Uncertainty Quantification

Yiming Fan, Marta D'Elia, Yue Yu +2

We consider the problem of modeling heterogeneous materials where micro-scale dynamics and interactions affect global behavior. In the presence of heterogeneities in material micro…

math.NA2022

Hybrid mixed discontinuous Galerkin finite element method for incompressible wormhole propagation problem

Jiansong Zhang, Yun Yu, Jiang Zhu +2

Wormhole propagation plays a very important role in the product enhancement of oil and gas reservoir. A new combined hybrid mixed finite element method is proposed to solve incompr…

math.NA2022

Hybrid mixed discontinuous Galerkin finite element method for incompressible miscible displacement problem

Jiansong Zhang, Yun Yu, Jiang Zhu +3

A new hybrid mixed discontinuous Galerkin finite element (HMDGFE) method is constructed for incompressible miscible displacement problem. In this method, the hybrid mixed finite el…

math.NA2022

Unified Implementation of Finite Element Methods involving Jumps and Averages in Matlab

Yue Yu

We provide unified implementations of the finite element methods involving jumps and averages in Maltab by combing the use of the software package varFEM, including the adaptive fi…

math.NA2022

varFEM: variational formulation based programming for finite element methods in Matlab

Yue Yu

This paper summarizes the development of varFEM, which provides a realization of the programming style in FreeFEM by using the Matlab language.