This work presents an h-adaptive finite-element (FE) strategy to address the numerical simulation of additive manufacturing (AM) of large-scale parts. The wire-arc additive …
E Neiva, S Badia - Computer Methods in Applied Mechanics and …, 2021 - Elsevier
This work introduces a novel, fully robust and highly-scalable, h-adaptive aggregated unfitted finite element method for large-scale interface elliptic problems. The new method is …
The ever-increasing demand for resolution and accuracy in mathematical models of physical processes governed by systems of Partial Differential Equations (PDEs) can only be …
The aggregated unfitted finite element method (AgFEM) is a methodology recently introduced in order to address conditioning and stability problems associated with …
In this work, we present an adaptive unfitted finite element scheme that combines the aggregated finite element method with parallel adaptive mesh refinement. We introduce a …
J Jomo, O Oztoprak, F de Prenter, N Zander… - Computer Methods in …, 2021 - Elsevier
This contribution presents a hierarchical multigrid approach for the solution of large-scale finite cell problems on both uniform grids and multi-level h p-discretizations. The proposed …
Edge (or Nédélec) finite elements are theoretically sound and widely used by the computational electromagnetics community. However, its implementation, especially for high …
In this work, we bridge standard Adaptive Mesh Refinement and coarsening (AMR) on scalable octree background meshes and robust unfitted Finite Element (FE) formulations for …
S Badia, W Li, AF Martín - arXiv preprint arXiv:2403.14054, 2024 - arxiv.org
The use of neural networks to approximate partial differential equations (PDEs) has gained significant attention in recent years. However, the approximation of PDEs with localised …