59 citations · 211 across the 7 of their papers we have counts for
8 papers
Unfitted finite element modelling of surface-bulk viscous flows in animal cells
Eric Neiva, Hervé Turlier
This work presents a novel unfitted finite element framework to simulate coupled surface-bulk problems in time-dependent domains, focusing on fluid-fluid interactions in animal cel…
Robust high-order unfitted finite elements by interpolation-based discrete extension
Santiago Badia, Eric Neiva, Francesc Verdugo
In this work, we propose a novel formulation for the solution of partial differential equations using finite element methods on unfitted meshes. The proposed formulation relies on…
Linking ghost penalty and aggregated unfitted methods
Santiago Badia, Eric Neiva, Francesc Verdugo
In this work, we analyse the links between ghost penalty stabilisation and aggregation-based discrete extension operators for the numerical approximation of elliptic partial differ…
Robust and scalable h-adaptive aggregated unfitted finite elements for interface elliptic problems
Eric Neiva, Santiago Badia
This work introduces a novel, fully robust and highly-scalable, -adaptive aggregated unfitted finite element method for large-scale interface elliptic problems. The new method i…
The aggregated unfitted finite element method on parallel tree-based adaptive meshes
Santiago Badia, Alberto F. Martín, Eric Neiva +1
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 novel…
A generic finite element framework on parallel tree-based adaptive meshes
Santiago Badia, Alberto F. Martín, Eric Neiva +1
In this work we formally derive and prove the correctness of the algorithms and data structures in a parallel, distributed-memory, generic finite element framework that supports h-…