On global and local mesh refinements by a generalized conforming bisection algorithm
Copyright policy )On global and local mesh refinements by a generalized conforming bisection algorithm
We examine a generalized conforming bisection (GCB-)algorithm which allows both global and local nested refinements of the triangulations without generating hanging nodes. It is based on the notion of a mesh density function which prescribes where and how much to refine the mesh. Some regularity properties of generated sequences of refined triangulations are proved. Several numerical tests demonstrate the efficiency of the proposed bisection algorithm. It is also shown how to modify the GCB-algorithm in order to generate anisotropic meshes with high aspect ratios.
- University of Helsinki Finland
- Euskadiko Parke Teknologikoa Spain
- Czech Academy of Sciences Czech Republic
- Academy of Sciences Library Czech Republic
- Aalto University Finland
Finite element method, conforming bisection algorithm, finite element method, nested triangulations, Nested triangulations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, numerical results, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, high aspect ratio elements, Zlámal’s minimum angle condition, mesh density function, High aspect ratio elements, ta512, Conforming longest-edge bisection algorithm, ta113, ta112, convergence, Zlámal's minimum angle condition, Applied Mathematics, ta111, Computational Mathematics, Zlmal's minimum angle condition, Numerical computation of solutions to single equations, mesh refinement, conforming longest-edge bisection algorithm
Finite element method, conforming bisection algorithm, finite element method, nested triangulations, Nested triangulations, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, numerical results, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, high aspect ratio elements, Zlámal’s minimum angle condition, mesh density function, High aspect ratio elements, ta512, Conforming longest-edge bisection algorithm, ta113, ta112, convergence, Zlámal's minimum angle condition, Applied Mathematics, ta111, Computational Mathematics, Zlmal's minimum angle condition, Numerical computation of solutions to single equations, mesh refinement, conforming longest-edge bisection algorithm
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