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

DOI10.1002/cnm.484zbMath1005.76053OpenAlexW2076199762MaRDI QIDQ4537601

Renato S. Silva, Regina C. Almeida

Publication date: 1 July 2002

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.484

zbMATH Keywords

finite element methodvariational formulationhyperbolic problemstransport problemelement length\(hp\)-adaptive refinement strategyelement interpolation orderhigher-order interpolation elementstable Petrov-Galerkin method

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items

Finite element analysis of convection dominated reaction--diffusion problems.

Cites Work

• A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems
• Finite element methods for linear hyperbolic problems
• 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
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• The intrinsic time for the streamline upwind/Petrov-Galerkin formulation using quadratic elements
• A stable Petrov-Galerkin method for convection-dominated problems
• A parallel adaptive strategy for \(hp\) finite element computations
• An adaptive Petrov-Galerkin formulation for the compressible Euler and Navier-Stokes equations