Space-time unfitted finite element methods for time-dependent problems on moving domains
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Publication:2693552
DOI10.1016/j.camwa.2023.01.032OpenAlexW4318681102MaRDI QIDQ2693552
Santiago Badia, Hridya Dilip, Francesc Verdugo
Publication date: 23 March 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.03626
Uses Software
Cites Work
- Unnamed Item
- Optimal preconditioners for Nitsche-XFEM discretizations of interface problems
- Ghost penalty
- Space-time discontinuous Galerkin method for advection-diffusion problems on time-dependent domains
- 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
- A finite element method for high-contrast interface problems with error estimates independent of contrast
- Implicit mesh discontinuous Galerkin methods and interfacial gauge methods for high-order accurate interface dynamics, with applications to surface tension dynamics, rigid body fluid-structure interaction, and free surface flow. I
- An arbitrary Lagrangian-Eulerian finite element method for transient dynamic fluid-structure interactions
- Theory and practice of finite elements.
- The aggregated unfitted finite element method for elliptic problems
- A CutFEM method for two-phase flow problems
- Linking ghost penalty and aggregated unfitted methods
- Robust high-order unfitted finite elements by interpolation-based discrete extension
- Geometrical discretisations for unfitted finite elements on explicit boundary representations
- Distributed-memory parallelization of the aggregated unfitted finite element method
- Robust and scalable \(h\)-adaptive aggregated unfitted finite elements for interface elliptic problems
- Agglomeration based discontinuous Galerkin discretization of the Euler and Navier-Stokes equations
- SUPG finite element computation of compressible flows with the entropy and conservation variables formulations
- Space-time finite element techniques for computation of fluid-structure interactions
- High order unfitted finite element methods on level set domains using isoparametric mappings
- Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
- A space-time cut finite element method with quadrature in time
- Unfitted FEM for modelling the interaction of multiple fractures in a poroelastic medium
- An XFEM/DG approach for fluid-structure interaction problems with contact.
- The software design of gridap: a finite element package based on the Julia JIT compiler
- CutFEM: Discretizing geometry and partial differential equations
- Julia: A Fresh Approach to Numerical Computing
- Numerical Methods for Two-phase Incompressible Flows
- Analysis of trace finite element methods for surface partial differential equations
- Mixed Aggregated Finite Element Methods for the Unfitted Discretization of the Stokes Problem
- The Aggregated Unfitted Finite Element Method on Parallel Tree-Based Adaptive Meshes
- EMBEDDED MULTILEVEL MONTE CARLO FOR UNCERTAINTY QUANTIFICATION IN RANDOM DOMAINS
- Variational analysis of the discontinuous Galerkin time-stepping method for parabolic equations
- An Eulerian finite element method for PDEs in time-dependent domains
- The Mathematical Theory of Finite Element Methods
- Error Estimates for the Discontinuous Galerkin Methods for Parabolic Equations
- Galerkin Finite Element Methods for Parabolic Problems
- An Unfitted Hybrid High-Order Method with Cell Agglomeration for Elliptic Interface Problems
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