Adaptive Meshes for the Spectral Element Method 3752
نویسندگان
چکیده
منابع مشابه
A two dimensional Simulation of crack propagation using Adaptive Finite Element Analysis
Finite element method (FEM) is one of the most famous methods which has many applications in varies studies such as the study of crack propagation in engineering structures. However, unless extremely fine meshes are employed, problem arises in accurately modelling the singular stress field in the singular element area around the crack tip. In the present study, the crack growth simulation has b...
متن کاملEquivalent a posteriori error estimates for spectral element solutions of constrained optimal control problem in one dimension
In this paper, we study spectral element approximation for a constrained optimal control problem in one dimension. The equivalent a posteriori error estimators are derived for the control, the state and the adjoint state approximation. Such estimators can be used to construct adaptive spectral elements for the control problems.
متن کاملDomain Decomposition for Adaptive hp Finite Element Methods
A highly parallelizable domain decomposition solution technique for adaptive hp finite element methods is developed. The technique uses good partitioning strategies and a subspace decomposition based preconditioned iterative solver, Two level orthogonalization is used to obtain a reduced system which is preconditioned by a coarse grid operator. Numerical results show fast cOIl\'ergence for the ...
متن کاملAdaptive Bem-based Fem on Polygonal Meshes from Virtual Element Methods
Polygonal meshes are especially suited for the discretization of boundary value problems in adaptive mesh refinement strategies. Such meshes are very flexible and incorporate hanging nodes naturally. But only a few approaches are available that handle polygonal discretizations in this context. The BEM-based Finite Element Method (FEM) and a residual based error estimate are reviewed in the pres...
متن کاملAdaptive computations on conforming quadtree meshes
In this paper, the quadtree data structure and conforming polygonal interpolants are used to develop an h-adaptive finite element method. Quadtree is a hierarchical data structure that is computationally attractive for adaptive numerical simulations. Mesh generation and adaptive refinement of quadtree meshes is straight-forward. However, finite elements are non-conforming on quadtree meshes due...
متن کامل