A high-resolution Petrov-Galerkin method for the convection-diffusion-reaction problem. II: A multidimensional extension

DOI10.1016/j.cma.2009.10.009zbMath1243.76063OpenAlexW2129557970WikidataQ59485733 ScholiaQ59485733MaRDI QIDQ438152

Prashanth Nadukandi, Eugenio Oñate, Julio García-Espinosa

Publication date: 20 July 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2009.10.009

zbMATH Keywords

singular perturbationfinite elementsstabilizationPetrov-Galerkin methodhigh-resolutionconvection-diffusion-reaction equation

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Reaction effects in flows (76V05) Diffusion and convection (76R99)

Related Items (12)

Finite difference approximations of multidimensional convection-diffusion-reaction problems with small diffusion on a special grid ⋮ An accurate FIC-FEM formulation for the 1D advection-diffusion-reaction equation ⋮ On regularization and error estimates for the Cauchy problem of the modified inhomogeneous Helmholtz equation ⋮ A finite difference scheme for multidimensional convection-diffusion-reaction equations ⋮ FIC-FEM formulation for the multidimensional transient advection-diffusion-absorption equation ⋮ A positivity preserving variational method for multi-dimensional convection-diffusion-reaction equation ⋮ Applications of quintic Hermite collocation with time discretization to singularly perturbed problems ⋮ Semi-Lagrangian formulation for the advection-diffusion-absorption equation ⋮ Solution of Boundary Value Problems Using Dual Reciprocity Boundary Element Method ⋮ A new stabilized linear finite element method for solving reaction-convection-diffusion equations ⋮ Accurate FIC-FEM formulation for the multidimensional steady-state advection-diffusion-absorption equation ⋮ Simulation of two-dimensional nonlinear model for washing of pulp fiber bed using quintic Hermite interpolation polynomials

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