A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing
This work introduces an innovative parallel fully‐distributed finite element framework for
growing geometries and its application to metal additive manufacturing. It is well known that …
growing geometries and its application to metal additive manufacturing. It is well known that …
A multi-criteria h-adaptive finite-element framework for industrial part-scale thermal analysis in additive manufacturing processes
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 …
simulation of additive manufacturing (AM) of large-scale parts. The wire-arc additive …
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems
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 …
unfitted finite element method for large-scale interface elliptic problems. The new method is …
[PDF][PDF] GridapDistributed: a massively parallel finite element toolbox in Julia
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 …
processes governed by systems of Partial Differential Equations (PDEs) can only be …
Distributed-memory parallelization of the aggregated unfitted finite element method
The aggregated unfitted finite element method (AgFEM) is a methodology recently
introduced in order to address conditioning and stability problems associated with …
introduced in order to address conditioning and stability problems associated with …
The aggregated unfitted finite element method on parallel tree-based adaptive meshes
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 …
aggregated finite element method with parallel adaptive mesh refinement. We introduce a …
Hierarchical multigrid approaches for the finite cell method on uniform and multi-level hp-refined grids
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 …
finite cell problems on both uniform grids and multi-level h p-discretizations. The proposed …
On a general implementation of h-and p-adaptive curl-conforming finite elements
Edge (or Nédélec) finite elements are theoretically sound and widely used by the
computational electromagnetics community. However, its implementation, especially for high …
computational electromagnetics community. However, its implementation, especially for high …
A robust and scalable unfitted adaptive finite element framework for nonlinear solid mechanics
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 …
scalable octree background meshes and robust unfitted Finite Element (FE) formulations for …
Adaptive Finite Element Interpolated Neural Networks
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 …
significant attention in recent years. However, the approximation of PDEs with localised …