most citedA local basis approximation approach for nonlinear parametric model order reduction

43 citations · 115 across the 4 of their papers we have counts for

collaborators

4 papers

cs.CE2021★ 9 cited

An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems

Konstantinos Agathos, Tim Dodwell, Eleni Chatzi +1

An adapted deflation preconditioner is employed to accelerate the solution of linear systems resulting from the discretization of fracture mechanics problems with well-conditioned…

cs.CE2021★ 27 cited

Moment fitted cut spectral elements for explicit analysis of guided wave propagation

Sergio Nicoli, Konstantinos Agathos, Eleni Chatzi

In this work, a method for the simulation of guided wave propagation in solids defined by implicit surfaces is presented. The method employs structured grids of spectral elements i…

math.NA2020★ 36 cited

Taylor-series expansion based numerical methods: a primer, performance benchmarking and new approaches for problems with non-smooth solutions

Thibault Jacquemin, Satyendra Tomar, Konstantinos Agathos +2

We provide a primer to numerical methods based on Taylor series expansions such as generalized finite difference methods and collocation methods. We provide a detailed benchmarking…

math.NA2020★ 43 cited

A local basis approximation approach for nonlinear parametric model order reduction

Konstantinos Vlachas, Konstantinos Tatsis, Konstantinos Agathos +2

The efficient condition assessment of engineered systems requires the coupling of high fidelity models with data extracted from the state of the system `as-is'. In enabling this ta…