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Nitsche's method for interface problems in computa‐tional mechanics
We give a review of Nitsche's method applied to interface problems, involving real or
artificial interfaces. Applications to unfitted meshes, Chimera meshes, cut meshes, fictitious …
artificial interfaces. Applications to unfitted meshes, Chimera meshes, cut meshes, fictitious …
Weakly enforced essential boundary conditions for NURBS‐embedded and trimmed NURBS geometries on the basis of the finite cell method
Enforcing essential boundary conditions plays a central role in immersed boundary
methods. Nitsche's idea has proven to be a reliable concept to satisfy weakly boundary and …
methods. Nitsche's idea has proven to be a reliable concept to satisfy weakly boundary and …
An extended pressure finite element space for two-phase incompressible flows with surface tension
We consider a standard model for incompressible two-phase flows in which a localized force
at the interface describes the effect of surface tension. If a level set (or VOF) method is …
at the interface describes the effect of surface tension. If a level set (or VOF) method is …
Multilevel global–local techniques for adaptive ductile phase-field fracture
This paper outlines a rigorous variational-based multilevel Global–Local formulation for
ductile fracture. Here, a phase-field formulation is used to resolve failure mechanisms by …
ductile fracture. Here, a phase-field formulation is used to resolve failure mechanisms by …
A new fictitious domain approach inspired by the extended finite element method
The purpose of this paper is to present a new fictitious domain approach inspired by the
extended finite element method introduced by Moës, Dolbow, and Belytschko in [Internat. J …
extended finite element method introduced by Moës, Dolbow, and Belytschko in [Internat. J …
A polytree-based adaptive approach to limit analysis of cracked structures
We in this paper present a novel adaptive finite element scheme for limit analysis of cracked
structures. The key idea is to develop a general refinement algorithm based on a so-called …
structures. The key idea is to develop a general refinement algorithm based on a so-called …
A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics
In this work we consider a stabilized Lagrange (or Kuhn–Tucker) multiplier method in order
to approximate the unilateral contact model in linear elastostatics. The particularity of the …
to approximate the unilateral contact model in linear elastostatics. The particularity of the …
A polytree‐based adaptive polygonal finite element method for topology optimization
We propose a highly effective approach using a novel adaptive methodology to perform
topology optimization with polygonal meshes, called polytree meshes. Polytree is a …
topology optimization with polygonal meshes, called polytree meshes. Polytree is a …
The enriched space–time finite element method (EST) for simultaneous solution of fluid–structure interaction
The paper introduces a weighted residual‐based approach for the numerical investigation of
the interaction of fluid flow and thin flexible structures. The presented method enables one to …
the interaction of fluid flow and thin flexible structures. The presented method enables one to …
Non-intrusive coupling of a 3-D Generalized Finite Element Method and Abaqus for the multiscale analysis of localized defects and structural features
This paper presents a multiscale computational framework able to resolve localized defects
and features such as cracks and welds in large structures. It couples Abaqus models and 3 …
and features such as cracks and welds in large structures. It couples Abaqus models and 3 …