Error reduction of the adaptive conforming and nonconforming finite element methods with red-green refinement
DOI10.1007/s00211-012-0495-3zbMath1270.65063OpenAlexW1979044573MaRDI QIDQ1939653
Publication date: 5 March 2013
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-012-0495-3
algorithmconvergenceerror boundssecond-order elliptic problemadaptive conforming finite element methodsadaptive nonconforming finite element methodred-green refinement
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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Convergence and optimality of the adaptive Morley element method
- Convergence analysis of the adaptive finite element method with the red-green refinement
- Convergence of a standard adaptive nonconforming finite element method with optimal complexity
- Nonobtuse triangulation of polygons
- Provably good mesh generation
- A unifying theory of a posteriori error control for nonconforming finite element methods
- Optimality of a standard adaptive finite element method
- Convergence analysis of an adaptive nonconforming finite element method
- Recent progress in robust and quality Delaunay mesh generation
- Adaptive Finite Element Methods on Quadrilateral Meshes without Hanging Nodes
- A Convergent Nonconforming Adaptive Finite Element Method with Quasi-Optimal Complexity
- Quasi-Optimal Convergence Rate for an Adaptive Finite Element Method
- Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
- Error Estimates for Adaptive Finite Element Computations
- Data Oscillation and Convergence of Adaptive FEM
- Centroidal Voronoi Tessellations: Applications and Algorithms
- Convergence of Adaptive Finite Element Methods
- A posteriori error estimators for nonconforming finite element methods
- A Convergent Adaptive Algorithm for Poisson’s Equation
- The completion of locally refined simplicial partitions created by bisection
- Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs