activity
20162023
most citedThe aggregated unfitted finite element method for elliptic problems

152 citations · 839 across the 37 of their papers we have counts for

collaborators
Showing 2018Show all

5 papers · 1 filter

math.NA2018★ 15 cited

Maximum-principle preserving space-time isogeometric analysis

Jesús Bonilla, Santiago Badia

In this work we propose a nonlinear stabilization technique for convection-diffusion-reaction and pure transport problems discretized with space-time isogeometric analysis. The sta…

cs.CE2018★ 36 cited

Numerical modelling of heat transfer and experimental validation in Powder-Bed Fusion with the Virtual Domain Approximation

Eric Neiva, Michele Chiumenti, Miguel Cervera +7

Among metal additive manufacturing technologies, powder-bed fusion features very thin layers and rapid solidification rates, leading to long build jobs and a highly localized proce…

math.NA2018★ 25 cited

On a general implementation of - and -adaptive curl-conforming finite elements

Marc Olm, Santiago Badia, Alberto F. Martín

Edge (or Nédélec) finite elements are theoretically sound and widely used by the computational electromagnetics community. However, its implementation, specially for high order met…

cs.CE2018★ 59 cited

A scalable parallel finite element framework for growing geometries. Application to metal additive manufacturing

Eric Neiva, Santiago Badia, Alberto F. Martín +1

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…

math.NA2018★ 38 cited

Mixed aggregated finite element methods for the unfitted discretization of the Stokes problem

Santiago Badia, Alberto F. Martín, Francesc Verdugo

In this work, we consider unfitted finite element methods for the numerical approximation of the Stokes problem. It is well-known that this kind of methods lead to arbitrarily ill-…