Stability and conditioning of immersed finite element methods: analysis and remedies

F de Prenter, CV Verhoosel, EH van Brummelen… - … Methods in Engineering, 2023 - Springer
This review paper discusses the developments in immersed or unfitted finite element
methods over the past decade. The main focus is the analysis and the treatment of the …

Immersed boundary-conformal isogeometric method for linear elliptic problems

X Wei, B Marussig, P Antolin, A Buffa - Computational Mechanics, 2021 - Springer
We present a novel isogeometric method, namely the Immersed Boundary-Conformal
Method (IBCM), that features a layer of discretization conformal to the boundary while …

Machine learning model for transient exergy performance of a phase change material integrated-concentrated solar thermoelectric generator

H Alghamdi, C Maduabuchi, DS Mbachu… - Applied Thermal …, 2023 - Elsevier
Despite the merits of incorporating phase change materials in concentrating solar
thermoelectric generating systems, the following research gaps still need to be filled to make …

[HTML][HTML] Robust numerical integration on curved polyhedra based on folded decompositions

P Antolin, X Wei, A Buffa - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
We present a novel method to perform numerical integration over curved polyhedra
enclosed by high-order parametric surfaces. Such a polyhedron is first decomposed into a …

Pioneering sustainable power: Harnessing material innovations in double stage segmented thermoelectric generators for optimal 4E performance

H Alghamdi, C Maduabuchi, K Okoli, A Albaker… - Applied Energy, 2023 - Elsevier
This study presents groundbreaking advancements in sustainable power through a
comprehensive exploration of double-stage segmented thermoelectric generators …

An overset improved element-free Galerkin-finite element method for the solution of transient heat conduction problems with concentrated moving heat sources

JC Álvarez-Hostos, Z Ullah, BA Storti, BA Tourn… - Computer Methods in …, 2024 - Elsevier
Abstract A novel Overset Improved Element-Free Galerkin-Finite Element Method (Ov-IEFG-
FEM) for solving transient heat conduction problems with concentrated moving heat sources …

High-order quadrature on multi-component domains implicitly defined by multivariate polynomials

RI Saye - Journal of Computational Physics, 2022 - Elsevier
A high-order quadrature algorithm is presented for computing integrals over curved surfaces
and volumes whose geometry is implicitly defined by the level sets of (one or more) …

Interpolation-based immersed finite element and isogeometric analysis

JE Fromm, N Wunsch, R Xiang, H Zhao, K Maute… - Computer Methods in …, 2023 - Elsevier
We introduce a new paradigm for immersed finite element and isogeometric methods based
on interpolating function spaces from an unfitted background mesh into Lagrange finite …

[HTML][HTML] Harnessing solar power: Innovations in nanofluid-cooled segmented thermoelectric generators for exergy, economic, environmental, and thermo-mechanical …

H Alghamdi, C Maduabuchi, K Okoli, M Alanazi… - Alexandria Engineering …, 2024 - Elsevier
Addressing the imperative need for advancements in thermoelectric generation, this study
pioneers an analysis of nanofluid-cooled solar segmented thermoelectric generators with …

Overlapping multipatch isogeometric method with minimal stabilization

P Antolin, A Buffa, R Puppi, X Wei - SIAM Journal on Scientific Computing, 2021 - SIAM
We present a novel method for isogeometric analysis (IGA) to directly work on geometries
constructed by Boolean operations including difference (ie, trimming), union, and …