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Immersed boundary methods: Historical perspective and future outlook
Immersed boundary methods (IBMs) are versatile and efficient computational techniques to
solve flow problems in complex geometric configurations that retain the simplicity and …
solve flow problems in complex geometric configurations that retain the simplicity and …
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 …
Towards higher-order accurate mass lum** in explicit isogeometric analysis for structural dynamics
We present a mass lum** approach based on an isogeometric Petrov–Galerkin method
that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of …
that preserves higher-order spatial accuracy in explicit dynamics calculations irrespective of …
Variationally consistent isogeometric analysis of trimmed thin shells at finite deformations, based on the STEP exchange format
Following a series of recent innovations, isogeometric shell analysis based on trimmed CAD
surfaces is currently being developed into an accurate, efficient and mature design-through …
surfaces is currently being developed into an accurate, efficient and mature design-through …
Immersogeometric cardiovascular fluid–structure interaction analysis with divergence-conforming B-splines
This paper uses a divergence-conforming B-spline fluid discretization to address the long-
standing issue of poor mass conservation in immersed methods for computational fluid …
standing issue of poor mass conservation in immersed methods for computational fluid …
Automating adjoint sensitivity analysis for multidisciplinary models involving partial differential equations
We present a general framework for incorporating partial differential equation (PDE)-based
models into gradient-based optimization of multidisciplinary systems by integrating FEniCSx …
models into gradient-based optimization of multidisciplinary systems by integrating FEniCSx …
Optimizing fluid–structure interaction systems with immersogeometric analysis and surrogate modeling: Application to a hydraulic arresting gear
This work describes a fluid–structure interaction (FSI) design optimization framework and
applies it to improving the structural performance of a water brake used to stop aircraft …
applies it to improving the structural performance of a water brake used to stop aircraft …
[HTML][HTML] An eigenvalue stabilization technique for immersed boundary finite element methods in explicit dynamics
The application of immersed boundary methods in static analyses is often impeded by
poorly cut elements (small cut elements problem), leading to ill-conditioned linear systems of …
poorly cut elements (small cut elements problem), leading to ill-conditioned linear systems of …
Skew-symmetric Nitsche's formulation in isogeometric analysis: Dirichlet and symmetry conditions, patch coupling and frictionless contact
A simple skew-symmetric Nitsche's formulation is introduced into the framework of
isogeometric analysis (IGA) to deal with various problems in small strain elasticity: essential …
isogeometric analysis (IGA) to deal with various problems in small strain elasticity: essential …
The shifted interface method: a flexible approach to embedded interface computations
We propose a new embedded finite element method to simulate partial differential equations
over domains with internal interfaces. Our approach belongs to the family of …
over domains with internal interfaces. Our approach belongs to the family of …