Stability and conditioning of immersed finite element methods: analysis and remedies
This review paper discusses the developments in immersed or unfitted finite element
methods over the past decade. The main focus is the analysis and the treatment of the …
methods over the past decade. The main focus is the analysis and the treatment of the …
The aggregated unfitted finite element method for elliptic problems
Unfitted finite element techniques are valuable tools in different applications where the
generation of body-fitted meshes is difficult. However, these techniques are prone to severe …
generation of body-fitted meshes is difficult. However, these techniques are prone to severe …
Linking ghost penalty and aggregated unfitted methods
In this work, we analyse the links between ghost penalty stabilisation and aggregation-
based discrete extension operators for the numerical approximation of elliptic partial …
based discrete extension operators for the numerical approximation of elliptic partial …
Robust and parallel scalable iterative solutions for large-scale finite cell analyses
JN Jomo, F de Prenter, M Elhaddad, D D'Angella… - Finite Elements in …, 2019 - Elsevier
The finite cell method is a flexible discretization technique for numerical analysis on
domains with complex geometries. By using a non-boundary conforming computational …
domains with complex geometries. By using a non-boundary conforming computational …
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 …
Multigrid solvers for immersed finite element methods and immersed isogeometric analysis
Ill-conditioning of the system matrix is a well-known complication in immersed finite element
methods and trimmed isogeometric analysis. Elements with small intersections with the …
methods and trimmed isogeometric analysis. Elements with small intersections with the …
Robust high-order unfitted finite elements by interpolation-based discrete extension
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 the …
using finite element methods on unfitted meshes. The proposed formulation relies on the …
A stabilized cut discontinuous Galerkin framework for elliptic boundary value and interface problems
We develop a stabilized cut discontinuous Galerkin framework for the numerical solution of
elliptic boundary value and interface problems on complicated domains. The domain of …
elliptic boundary value and interface problems on complicated domains. The domain of …
Preconditioning immersed isogeometric finite element methods with application to flow problems
F de Prenter, CV Verhoosel… - Computer Methods in …, 2019 - Elsevier
Immersed finite element methods generally suffer from conditioning problems when cut
elements intersect the physical domain only on a small fraction of their volume. We present a …
elements intersect the physical domain only on a small fraction of their volume. We present a …
FEMPAR: An Object-Oriented Parallel Finite Element Framework
FEMPAR is an open source object oriented Fortran200X scientific software library for the
high-performance scalable simulation of complex multiphysics problems governed by partial …
high-performance scalable simulation of complex multiphysics problems governed by partial …