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20192026
most citedA unified, stable and accurate meshfree framework for peridynamic correspondence modeling. Part II: wave propagation and enforcement of stress boundary conditions

2 citations · 5 across the 6 of their papers we have counts for

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7 papers · 1 filter

math.NA2026

A review of weakly enforced Dirichlet boundary conditions in computational flow analysis

Ming-Chen Hsu, Monu Jaiswal, Yuri Bazilevs

Strongly enforced Dirichlet boundary conditions require highly refined near-wall meshes to resolve steep velocity and thermal gradients. This introduces high computational costs, e…

math.NA20231 cited

Constraints for eliminating the Gibbs phenomenon in finite element approximation spaces

M. ten Eikelder, S. Stoter, Y. Bazilevs +1

One of the major challenges in finite element methods is the mitigation of spurious oscillations near sharp layers and discontinuities known as the Gibbs phenomenon. In this articl…

math.NA2021

IGA-PD Penalty-Based Coupling for Immersed Air-Blast Fluid-Structure Interaction: A Simple and Effective Solution for Fracture and Fragmentation

Masoud Behzadinasab, Michael Hillman, Yuri Bazilevs

We present a novel formulation for the immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI). We focus on a…

math.NA20212 cited

Coupling of IGA and Peridynamics for Air-Blast Fluid-Structure Interaction Using an Immersed Approach

Masoud Behzadinasab, Georgios Moutsanidis, Nathaniel Trask +2

We present a novel formulation based on an immersed coupling of Isogeometric Analysis (IGA) and Peridynamics (PD) for the simulation of fluid-structure interaction (FSI) phenomena…

math.NA20202 cited

A unified, stable and accurate meshfree framework for peridynamic correspondence modeling. Part II: wave propagation and enforcement of stress boundary conditions

Masoud Behzadinasab, John T. Foster, Yuri Bazilevs

The overarching goal of this work is to develop an accurate, robust, and stable methodology for finite deformation modeling using strong-form peridynamics (PD) and the corresponden…

math.NA2020

A unified, stable and accurate meshfree framework for peridynamic correspondence modeling. Part I: core methods

Masoud Behzadinasab, Nathaniel Trask, Yuri Bazilevs

The overarching goal of this work is to develop an accurate, robust, and stable methodology for finite deformation modeling using strong-form peridynamics (PD) and the corresponden…