Space-time unfitted finite elements on moving explicit geometry representations

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Moving boundary problems for PDEs (35R37)

Cites Work

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Ghost penalty
A space-time finite element method for structural acoustics in infinite domains. I: Formulation, stability and convergence. II: Exact time-dependent non-reflecting boundary conditions
An unfitted Nitsche method for incompressible fluid-structure interaction using overlapping meshes
An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
The aggregated unfitted finite element method for elliptic problems
Linking ghost penalty and aggregated unfitted methods
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Distributed-memory parallelization of the aggregated unfitted finite element method
Robust and scalable \(h\)-adaptive aggregated unfitted finite elements for interface elliptic problems
Condition number analysis and preconditioning of the finite cell method
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Unfitted FEM for modelling the interaction of multiple fractures in a poroelastic medium
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Space-time unfitted finite element methods for time-dependent problems on moving domains
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Julia: A Fresh Approach to Numerical Computing
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The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes
EMBEDDED MULTILEVEL MONTE CARLO FOR UNCERTAINTY QUANTIFICATION IN RANDOM DOMAINS
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Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains
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A cohesive XFEM model for simulating fatigue crack growth under mixed-mode loading and overloading

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