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20172022
most citedThe computational framework for continuum-kinematics-inspired peridynamics

2 citations · 3 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.NA20221 cited

Computational bifurcation analysis of hyperelastic thin shells

Zhaowei Liu, Andrew McBride, Abhishek Ghosh +5

The inflation of hyperelastic thin shells is an important and highly nonlinear problem that arises in multiple engineering applications involving severe kinematic and constitutive…

math.NA2021

Vibration Analysis of Piezoelectric Kirchhoff-Love Shells based on Catmull-Clark Subdivision Surfaces

Zhaowei Liu, Andrew McBride, Prashant Saxena +3

An isogeometric Galerkin approach for analysing the free vibrations of piezoelectric shells is presented. The shell kinematics is specialised to infinitesimal deformations and foll…

math.NA2021

A p-adaptive, implicit-explicit mixed finite element method for reaction-diffusion problems

Mebratu Wakeni, Ankush Aggarwal, Lukasz Kaczmarczyk +4

A new class of implicit-explicit (IMEX) methods combined with a p-adaptive mixed finite element formulation is proposed to simulate the diffusion of reacting species. Hierarchical…

math.NA2019

Convergence in the incompressible limit of new discontinuous Galerkin methods with general quadrilateral and hexahedral elements

Beverley J. Grieshaber, Andrew T. McBride, B. Daya Reddy

Standard low-order finite elements, which perform well for problems involving compressible elastic materials, are known to under-perform when nearly incompressible materials are in…

math.NA2019

Assessment of an Isogeometric Approach with Catmull-Clark Subdivision Surfaces using the Laplace-Beltrami Problems

Zhaowei Liu, Andrew McBride, Prashant Saxena +1

An isogeometric approach for solving the Laplace-Beltrami equation on a two-dimensional manifold embedded in three-dimensional space using a Galerkin method based on Catmull-Clark…