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20102026
most citedThe aggregated unfitted finite element method for elliptic problems

152 citations

Showing 2019Show all

5 papers · 1 filter

math.NA2019★ 9 cited

Monotonicity-preserving finite element schemes with adaptive mesh refinement for hyperbolic problems

Jesus Bonilla, Santiago Badia

This work is focused on the extension and assessment of the monotonicity-preserving scheme in [3] and the local bounds preserving scheme in [5] to hierarchical octree adaptive mesh…

math.NA2019★ 4 cited

On differentiable local bounds preserving stabilization for Euler equations

Santiago Badia, Jesús Bonilla, Sibusiso Mabuza +1

This work presents the design of nonlinear stabilization techniques for the finite element discretization of Euler equations in both steady and transient form. Implicit time integr…

cs.MS2019★ 6 cited

A tutorial-driven introduction to the parallel finite element library FEMPAR v1.0.0

Santiago Badia, Alberto F. Martín

This work is a user guide to the FEMPAR scientific software library. FEMPAR is an open-source object-oriented framework for the simulation of partial differential equations (PDEs)…

math.NA2019★ 37 cited

Distributed-memory parallelization of the aggregated unfitted finite element method

Francesc Verdugo, Alberto F. Martín, Santiago Badia

The aggregated unfitted finite element method (AgFEM) is a methodology recently introduced in order to address conditioning and stability problems associated with embedded, unfitte…

cs.CE2019★ 5 cited

Scalable solvers for complex electromagnetics problems

Santiago Badia, Alberto F. Martín, Marc Olm

In this work, we present scalable balancing domain decomposition by constraints methods for linear systems arising from arbitrary order edge finite element discretizations of multi…