Extended particle difference method for moving boundary problems
DOI10.1007/s00466-014-1029-xzbMath1311.74132OpenAlexW2067819153MaRDI QIDQ487758
Young-Cheol Yoon, Jeong-Hoon Song
Publication date: 23 January 2015
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-014-1029-x
moving boundarystrong formulationextended particle difference methodparticle derivative approximation
Finite element methods applied to problems in solid mechanics (74S05) Dynamics of phase boundaries in solids (74N20) Stefan problems, phase changes, etc. (80A22) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer (80M10)
Related Items (10)
Uses Software
Cites Work
- Unnamed Item
- Stable particle methods based on Lagrangian kernels
- Extrinsic meshfree approximation using asymptotic expansion for interfacial discontinuity of derivative
- Meshfree point collocation method with intrinsic enrichment for interface problems
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A front-tracking method for viscous, incompressible multi-fluid flows
- A simple level set method for solving Stefan problems
- A hybrid method for moving interface problems with application to the Hele-Shaw flow
- The partition of unity finite element method: basic theory and applications
- A high dimensional moving mesh strategy
- Anisotropic mesh adaptation for the solution of the Stefan problem.
- Stefan problem through extended finite elements: review and further investigations
- Variational algorithms and pattern formation in dendritic solidification
- Level set methods and dynamic implicit surfaces
- A fast level set method for propagating interfaces
- A front-tracking method for dendritic solidification
- An Eulerian-Lagrangian method for fluid-structure interaction based on level sets
- A comparison of numerical models for one-dimensional Stefan problems
- A numerical solution of the multidimensional solidification (or melting) problem
- Modelling crack growth by level sets in the extended finite element method
- Accurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling
- Fracture modeling using meshless methods and level sets in 3D: Framework and modeling
- A method for dynamic crack and shear band propagation with phantom nodes
- An efficient finite element method for embedded interface problems
- A combined extended finite element and level set method for biofilm growth
- Fluid-structure interaction by the discontinuous-Galerkin method for large deformations
- Cracking node method for dynamic fracture with finite elements
- An efficient algorithm for analysis of nonlinear heat transfer with phase changes
- Stability and Instability in the Computation of Flows with Moving Immersed Boundaries: A Comparison of Three Methods
- Reproducing kernel hierarchical partition of unity, Part I?formulation and theory
- Elastic crack growth in finite elements with minimal remeshing
- Element‐free Galerkin methods
- The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
- THE PARTITION OF UNITY METHOD
- Point collocation methods using the fast moving least-square reproducing kernel approximation
- Extended finite element method for three-dimensional crack modelling
- The extended finite element method (XFEM) for solidification problems
- Numerical Solution of Partial Differential Equations
- Numerical methods for one-dimensional Stefan problems
- Representation of singularities with isoparametric finite elements
- Reproducing kernel particle methods
- A finite element method for crack growth without remeshing
- Element‐local level set method for three‐dimensional dynamic crack growth
- Meshfree point collocation method for elasticity and crack problems
- A moving mesh finite element method for the solution of two-dimensional Stefan problems
This page was built for publication: Extended particle difference method for moving boundary problems