152 citations · 616 across the 18 of their papers we have counts for
9 papers · 1 filter
Space-time unfitted finite element methods for time-dependent problems on moving domains
Santiago Badia, Hridya Dilip, Francesc Verdugo
We propose a space-time scheme that combines an unfitted finite element method in space with a discontinuous Galerkin time discretisation for the accurate numerical approximation o…
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…
Geometrical discretisations for unfitted finite elements on explicit boundary representations
Santiago Badia, Pere A. Martorell, Francesc Verdugo
Unfitted (also known as embedded or immersed) finite element approximations of partial differential equations are very attractive because they have much lower geometrical requireme…
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…
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…
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…
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-…
Robust and scalable domain decomposition solvers for unfitted finite element methods
Santiago Badia, Francesc Verdugo
Unfitted finite element methods, e.g., extended finite element techniques or the so-called finite cell method, have a great potential for large scale simulations, since they avoid…
Unified computational framework for the efficient solution of n-field coupled problems with monolithic schemes
Francesc Verdugo, Wolfgang A. Wall
In this paper, we propose and evaluate the performance of a unified computational framework for preconditioning systems of linear equations resulting from the solution of coupled p…