Quadrature for meshless Nitsche's method
DOI10.1002/num.21808zbMath1283.65112OpenAlexW2051959811MaRDI QIDQ2874177
Publication date: 29 January 2014
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.21808
algorithmconvergencenumerical integrationfinite element methoderror estimatenumerical resultNitsche's methodessential boundary conditionGalerkin meshless methods Green formula
Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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 (7)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Theoretical analysis of numerical integration in Galerkin meshless methods
- Effect of numerical integration on meshless methods
- Imposing essential boundary conditions in mesh-free methods
- A modified collocation method and a penalty formulation for enforcing the essential boundary conditions in the element free Galerkin method
- Numerical integration of the Galerkin weak form in meshfree methods
- Meshless methods: An overview and recent developments
- Nodal integration of the element-free Galerkin method
- Enforcement of essential boundary conditions in meshless approximations using finite elements
- The method of finite spheres
- Element-free Galerkin method for wave propagation and dynamic fracture.
- On some techniques for approximating boundary conditions in the finite element method
- Numerical integration in Galerkin meshless methods, applied to elliptic Neumann problem with non-constant coefficients
- A comparison of numerical integration rules for the meshless local Petrov-Galerkin method
- 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)
- Product Gauss quadrature rules vs. cubature rules in the meshless local Petrov-Galerkin method
- A Particle-Partition of Unity Method--Part II: Efficient Cover Construction and Reliable Integration
- Nitsche’s method for general boundary conditions
- Stabilized conforming nodal integration in the natural-element method
- A new support integration scheme for the weakform in mesh-free methods
- Quadrature for meshless methods
- Gradient and dilatational stabilizations for stress-point integration in the element-free Galerkin method
- Convergence and stabilization of stress-point integration in mesh-free and particle methods
- Element‐free Galerkin methods
- Survey of meshless and generalized finite element methods: A unified approach
- The partition of unity quadrature in meshless methods
- Reproducing kernel particle methods
- Error analysis of the reproducing kernel particle method
This page was built for publication: Quadrature for meshless Nitsche's method