publications | Mesh-Oriented Solutions

2026

SSE

Mixed finite element method for device simulations

Yingjia Gao, Naveen Kumar, Ross Williams, and 3 more authors

Solid-State Electronics, 2026

@article{gao2026mixed,
  title = {Mixed finite element method for device simulations},
  author = {Gao, Yingjia and Kumar, Naveen and Williams, Ross and Shvarts, Andrei and Kaczmarczyk, Lukasz and Georgiev, Vihar},
  journal = {Solid-State Electronics},
  pages = {109346},
  year = {2026},
  publisher = {Elsevier},
  doi = {10.1016/j.sse.2026.109346}
}

CMAME

Conservative data-driven finite element framework with adaptive hp-refinement for diffusion problems with material uncertainty

Adriana Kuliková, Andrei G Shvarts, Łukasz Kaczmarczyk, and 1 more author

Computer Methods in Applied Mechanics and Engineering, 2026

DOI Bib

@article{kulikova2026conservative,
  title = {Conservative data-driven finite element framework with adaptive hp-refinement for diffusion problems with material uncertainty},
  author = {Kulikov{\'a}, Adriana and Shvarts, Andrei G and Kaczmarczyk, {\L}ukasz and Pearce, Chris J},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  volume = {452},
  pages = {118703},
  year = {2026},
  publisher = {Elsevier},
  doi = {10.1016/j.cma.2025.118703}
}

2025

Dissertation

Data-driven weaker mixed formulation for diffusion problems

Adriana Kuliková

University of Glasgow, 2025

DOI Bib

@phdthesis{kulikova2025data,
  title = {Data-driven weaker mixed formulation for diffusion problems},
  author = {Kulikov{\'a}, Adriana},
  year = {2025},
  journal = {Thesis},
  school = {University of Glasgow},
  doi = {10.5525/gla.thesis.85306}
}

2024

JCRS

Evaluating the forces involved in bubble management in DMEK surgery: mathematical and computational model with clinical implications

David Lockington, Gordon Brown, Chris Pearce, and 1 more author

Journal of Cataract & Refractive Surgery, 2024

DOI Bib

@article{lockington2024evaluating,
  title = {Evaluating the forces involved in bubble management in DMEK surgery: mathematical and computational model with clinical implications},
  author = {Lockington, David and Brown, Gordon and Pearce, Chris and Kaczmarczyk, Lukasz},
  journal = {Journal of Cataract \& Refractive Surgery},
  volume = {50},
  number = {1},
  pages = {78--83},
  year = {2024},
  publisher = {LWW},
  doi = {10.1097/j.jcrs.0000000000001309}
}

2023

CMAME

Multifield finite strain plasticity: Theory and numerics

Karol Lewandowski, Daniele Barbera, Paul Blackwell, and 6 more authors

Computer Methods in Applied Mechanics and Engineering, 2023

DOI Bib

@article{lewandowski2023multifield,
  title = {Multifield finite strain plasticity: Theory and numerics},
  author = {Lewandowski, Karol and Barbera, Daniele and Blackwell, Paul and Roohi, Amir H and Athanasiadis, Ignatios and McBride, Andrew and Steinmann, Paul and Pearce, Chris and Kaczmarczyk, {\L}ukasz},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  volume = {414},
  pages = {116101},
  year = {2023},
  publisher = {Elsevier},
  doi = {10.1016/j.cma.2023.116101}
}

CMAME

A computational framework for crack propagation along contact interfaces and surfaces under load

Ignatios Athanasiadis, Andrei G Shvarts, Zahur Ullah, and 3 more authors

Computer Methods in Applied Mechanics and Engineering, 2023

DOI Bib

@article{athanasiadis2023computational,
  title = {A computational framework for crack propagation along contact interfaces and surfaces under load},
  author = {Athanasiadis, Ignatios and Shvarts, Andrei G and Ullah, Zahur and Lewandowski, Karol and Pearce, Chris J and Kaczmarczyk, {\L}ukasz},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  volume = {414},
  pages = {116129},
  year = {2023},
  publisher = {Elsevier},
  doi = {10.1016/j.cma.2023.116129}
}

2022

IJNME

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

Mebratu F Wakeni, Ankush Aggarwal, Łukasz Kaczmarczyk, and 4 more authors

International Journal for Numerical Methods in Engineering, 2022

DOI Bib

@article{wakeni2022p,
  title = {A p-adaptive, implicit-explicit mixed finite element method for diffusion-reaction problems},
  author = {Wakeni, Mebratu F and Aggarwal, Ankush and Kaczmarczyk, {\L}ukasz and McBride, Andrew T and Athanasiadis, Ignatios and Pearce, Chris J and Steinmann, Paul},
  journal = {International Journal for Numerical Methods in Engineering},
  volume = {123},
  number = {14},
  pages = {3237--3263},
  year = {2022},
  publisher = {Wiley Online Library},
  doi = {10.1002/nme.6967}
}

2021

PToRSA

A computational framework for crack propagation in spatially heterogeneous materials

Karol Lewandowski, Łukasz Kaczmarczyk, Ignatios Athanasiadis, and 2 more authors

Philosophical Transactions of the Royal Society A, 2021

DOI Bib

@article{lewandowski2021computational,
  title = {A computational framework for crack propagation in spatially heterogeneous materials},
  author = {Lewandowski, Karol and Kaczmarczyk, {\L}ukasz and Athanasiadis, Ignatios and Marshall, John F and Pearce, Chris J},
  journal = {Philosophical Transactions of the Royal Society A},
  volume = {379},
  number = {2203},
  pages = {20200291},
  year = {2021},
  publisher = {The Royal Society Publishing},
  doi = {10.1098/rsta.2020.0291}
}

2020

JOSS

MoFEM: An open source, parallel finite element library

Łukasz Kaczmarczyk, Zahur Ullah, Karol Lewandowski, and 8 more authors

Journal of Open Source Software, 2020

DOI Bib

@article{kaczmarczyk2020mofem,
  title = {MoFEM: An open source, parallel finite element library},
  author = {Kaczmarczyk, {\L}ukasz and Ullah, Zahur and Lewandowski, Karol and Meng, Xuan and Zhou, Xiao-Yi and Athanasiadis, Ignatios and Nguyen, Hoang and Chalons-Mouriesse, Christophe-Alexandre and Richardson, Euan J and Miur, Euan and others},
  journal = {Journal of Open Source Software},
  volume = {5},
  number = {45},
  pages = {1441},
  year = {2020},
  doi = {10.21105/joss.01441}
}

Dissertation

Numerical investigation of bone adaptation to exercise and fracture in Thoroughbred racehorses

Karol Lewandowski

2020

DOI Bib

@book{lewandowski2020thesis,
  title = {Numerical investigation of bone adaptation to exercise and fracture in Thoroughbred racehorses},
  author = {Lewandowski, Karol},
  year = {2020},
  journal = {Thesis},
  school = {University of Glasgow},
  doi = {10.5525/gla.thesis.81627}
}

2019

CPBE

A unified framework for the multi-scale computational homogenisation of 3D-textile composites

Zahur Ullah, X-Y Zhou, Lukasz Kaczmarczyk, and 3 more authors

Composites Part B: Engineering, 2019

DOI Bib

@article{ullah2019unified,
  title = {A unified framework for the multi-scale computational homogenisation of 3D-textile composites},
  author = {Ullah, Zahur and Zhou, X-Y and Kaczmarczyk, Lukasz and Archer, Edward and McIlhagger, Alistair and Harkin-Jones, Eileen},
  journal = {Composites Part B: Engineering},
  volume = {167},
  pages = {582--598},
  year = {2019},
  publisher = {Elsevier},
  doi = {10.1016/j.compositesb.2019.03.027}
}

2017

CMAME

Energy consistent framework for continuously evolving 3D crack propagation

Łukasz Kaczmarczyk, Zahur Ullah, and Chris J Pearce

Computer Methods in Applied Mechanics and Engineering, 2017

DOI Bib

@article{kaczmarczyk2017energy,
  title = {Energy consistent framework for continuously evolving 3D crack propagation},
  author = {Kaczmarczyk, {\L}ukasz and Ullah, Zahur and Pearce, Chris J},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  volume = {324},
  pages = {54--73},
  year = {2017},
  publisher = {Elsevier},
  doi = {10.1016/j.cma.2017.06.001}
}

AMM

Stochastic multi-scale finite element based reliability analysis for laminated composite structures

X-Y Zhou, PD Gosling, Zahur Ullah, and 2 more authors

Applied mathematical modelling, 2017

DOI Bib

@article{zhou2017stochastic,
  title = {Stochastic multi-scale finite element based reliability analysis for laminated composite structures},
  author = {Zhou, X-Y and Gosling, PD and Ullah, Zahur and Kaczmarczyk, L and Pearce, CJ},
  journal = {Applied mathematical modelling},
  volume = {45},
  pages = {457--473},
  year = {2017},
  publisher = {Elsevier},
  doi = {10.1016/j.apm.2016.12.005}
}

Three-dimensional nonlinear micro/meso-mechanical response of the fibre-reinforced polymer composites

Zahur Ullah, Lukasz Kaczmarczyk, and Chris J Pearce

Composite Structures, 2017

DOI Bib

@article{ullah2017three,
  title = {Three-dimensional nonlinear micro/meso-mechanical response of the fibre-reinforced polymer composites},
  author = {Ullah, Zahur and Kaczmarczyk, Lukasz and Pearce, Chris J},
  journal = {Composite Structures},
  volume = {161},
  pages = {204--214},
  year = {2017},
  publisher = {Elsevier},
  doi = {10.1016/j.compstruct.2016.11.059}
}

Multi-scale computational homogenisation to predict the long-term durability of composite structures

Zahur Ullah, SA Grammatikos, MC Evernden, and 2 more authors

Computers & Structures, 2017

DOI Bib

@article{ullah2017multi,
  title = {Multi-scale computational homogenisation to predict the long-term durability of composite structures},
  author = {Ullah, Zahur and Grammatikos, SA and Evernden, MC and Pearce, CJ and others},
  journal = {Computers \& Structures},
  volume = {181},
  pages = {21--31},
  year = {2017},
  publisher = {Elsevier},
  doi = {10.1016/j.compstruc.2016.11.002}
}

2016

CMAME

Perturbation-based stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties

X-Y Zhou, PD Gosling, CJ Pearce, and 2 more authors

Computer Methods in Applied Mechanics and Engineering, 2016

DOI Bib

@article{zhou2016perturbation,
  title = {Perturbation-based stochastic multi-scale computational homogenization method for the determination of the effective properties of composite materials with random properties},
  author = {Zhou, X-Y and Gosling, PD and Pearce, CJ and Ullah, Z and others},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  volume = {300},
  pages = {84--105},
  year = {2016},
  publisher = {Elsevier},
  doi = {10.1016/j.ijsolstr.2015.09.008}
}

IJSS

Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites

X-Y Zhou, PD Gosling, CJ Pearce, and 2 more authors

International Journal of Solids and Structures, 2016

DOI Bib

@article{zhou2016perturbatioo,
  title = {Perturbation-based stochastic multi-scale computational homogenization method for woven textile composites},
  author = {Zhou, X-Y and Gosling, PD and Pearce, CJ and Ullah, Z and Kaczmarczyk, L},
  journal = {International Journal of Solids and Structures},
  volume = {80},
  pages = {368--380},
  year = {2016},
  publisher = {Elsevier},
  doi = {10.1016/j.ijsolstr.2015.09.008}
}

2014

IJNME

Three-dimensional brittle fracture: configurational-force-driven crack propagation

Łukasz Kaczmarczyk, Mohaddeseh Mousavi Nezhad, and Chris Pearce

International Journal for Numerical Methods in Engineering, 2014

DOI Bib

@article{kaczmarczyk2014three,
  title = {Three-dimensional brittle fracture: configurational-force-driven crack propagation},
  author = {Kaczmarczyk, {\L}ukasz and Nezhad, Mohaddeseh Mousavi and Pearce, Chris},
  journal = {International Journal for Numerical Methods in Engineering},
  volume = {97},
  number = {7},
  pages = {531--550},
  year = {2014},
  publisher = {Wiley Online Library},
  doi = {10.1002/nme.4603}
}