An hp-adaptive strategy in a Petrov-Galerkin method for convection-diffusion problems

Communications in Numerical Methods in Engineering

Volumn 18, Issue 3, 2002, Pages 203-211

  Almeida, R C ^a   Silva, R S ^a  

^a LABORATÓRIO NACIONAL DE COMPUTAÇÃO CIENTÍFICA   (Brazil)

Author keywords

Finite elements; hp adaptation; Petrov Galerkin

Indexed keywords

DIFFUSION; HEAT CONVECTION; INTERPOLATION;

REFINEMENT STRATEGY;

NUMERICAL METHODS;

COMPUTATIONAL MODEL; CONVECTION; DIFFUSION;

EID: 0036496645     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/cnm.484     Document Type: Article

References (18)

1. Streamline upwind Petrov-Galerkin formulation for convection-dominated flows with particular emphasis on the incompressible Navier-Stokes equations
2. A consistent approximate upwind Petrov-Galerkin method for convection-dominated problems
3. Load balancing for the parallel solution of partial equations
4. A parallel adaptive strategy for hp finite element computations
5. A stable Petrov-Galerkin method for convection-dominated problems
6. High interpolation element order in a Petrov-Galerkin method for CFD problems
7. The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements
8. Finite element methods for linear hyperbolic problems
9. The hp-version of the finite element method with quasiuniform meshes
10. An adaptive Petrov-Galerkin formulation for the compressible Euler and Navier-Stokes equations
11. Hp optimization of finite elements approximations: Analysis of the optimal mesh sequences in one dimension
12. Toward a universal hp adaptive finite element strategy - Part 3. Design of hp meshes
13. A new finite element formulation for computational fluid dynamics: Vi, convergence analysis of the generalized SUPG formulation for linear time-dependent multidimensional advective-diffusive systems