Multilevel particle-partition of unity method
DOI10.1007/s00211-010-0346-zzbMath1218.65132OpenAlexW2041753882MaRDI QIDQ543351
Publication date: 17 June 2011
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-010-0346-z
finite element methodnumerical examplesmultilevel methodmeshfreelinear elastic fracture mechanicssuper-convergenceparticle-partition of unity method
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
Uses Software
Cites Work
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- The mixed-cell-complex partition-of-unity method
- An adaptive \(hp\)-version of the multilevel particle-partition of unity method
- Enforcement of essential boundary conditions in meshless approximations using finite elements
- Generalized finite element method using mesh-based handbooks: application to problems in domains with many voids.
- Modeling quasi-static crack growth with the extended finite element method. II: Numerical applications
- A parallel multilevel partition of unity method for elliptic partial differential equations
- A new implementation of the element free Galerkin method
- The design and analysis of the generalized finite element method
- Implementation of boundary conditions for meshless methods
- 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)
- Arbitrary discontinuities in finite elements
- A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- An Algebraic Treatment of Essential Boundary Conditions in the Particle–Partition of Unity Method
- A high-order generalized FEM for through-the-thickness branched cracks
- A Particle-Partition of Unity Method Part VIII: Hierarchical Enrichment
- Elastic crack growth in finite elements with minimal remeshing
- Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
- THE PARTITION OF UNITY METHOD
- A Particle-Partition of Unity Method for the Solution of Elliptic, Parabolic, and Hyperbolic PDEs
- A Particle-Partition of Unity Method Part VI: A p-robust Multilevel Solver
- A Particle-Partition of Unity Method--Part III: A Multilevel Solver
- A finite element method for crack growth without remeshing
- High-order extended finite element method for cracked domains
- A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.
- The generalized finite element method
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item