A high-resolution Petrov-Galerkin method for the 1D convection-diffusion-reaction problem (Q649265)

scientific article; zbMATH DE number 5982916

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English	A high-resolution Petrov-Galerkin method for the 1D convection-diffusion-reaction problem	scientific article; zbMATH DE number 5982916

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instance of

scholarly article

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title

A high-resolution Petrov-Galerkin method for the 1D convection-diffusion-reaction problem (English)

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Computer Methods in Applied Mechanics and Engineering

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publication date

30 November 2011

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zbMATH Keywords

convection

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diffusion

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reaction

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finite element

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Petrov-Galerkin

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stabilized high-resolution methods

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describes a project that uses

SHASTA

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.cma.2009.10.009

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cites work

Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

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Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures

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A Taylor-Galerkin method for convective transport problems

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The solution of non-linear hyperbolic equation systems by the finite element method

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A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations

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A relationship between stabilized finite element methods and the Galerkin method with bubble functions

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Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)

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CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS

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Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods

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The variational multiscale method -- a paradigm for computational mechanics

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A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme

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Derivation of stabilized equations for numerical solution of advective-diffusive transport and fluid flow problems

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\(b=\int g\)

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Comparison of some finite element methods for solving the diffusion-convection-reaction equation

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A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle

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A new finite element formulation for computational fluid dynamics. II. Beyond SUPG

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A consistent approximate upwind Petrov-Galerkin method for convection- dominated problems

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On the Convergence of Shock-Capturing Streamline Diffusion Finite Element Methods for Hyperbolic Conservation Laws

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Feedback Petrov-Galerkin methods for convection-dominated problems

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A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation

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A natural derivation of discontinuity capturing operator for convection-diffusion problems

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Nonlinear diffusion and discrete maximum principle for stabilized Galerkin approximations of the convection-diffusion-reaction equation

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A new stabilized finite element formulation for scalar convection-diffusion problems: the streamline and approximate upwind/Petrov-Galerkin method.

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A new upwind function in stabilized finite element formulations, using linear and quadratic elements for scalar convection-diffusion problems

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Improvements of the Mizukami-Hughes method for convection-diffusion equations

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Finite element formulation for convective-diffusive problems with sharp gradients using finite calculus

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On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review

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Discontinuity-capturing finite element formulations for nonlinear convection-diffusion-reaction equations

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A Petrov-Galerkin formulation for advection-reaction-diffusion problems

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The Galerkin gradient least-squares method

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Bubble functions prompt unusual stabilized finite element methods.

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On an improved unusual stabilized finite element method for the advective-reactive-diffusive equation

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LINK-CUTTING BUBBLES FOR THE STABILIZATION OF CONVECTION-DIFFUSION-REACTION PROBLEMS

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A stabilized finite element method for generalized stationary incompressible flows

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Variational subgrid scale formulations for the advection-diffusion-reaction equation

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A simple subgrid scale stabilized method for the advection-diffusion-reaction equation

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COMBINING ADJOINT STABILIZED METHODS FOR THE ADVECTION-DIFFUSION-REACTION PROBLEM

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Stabilized formulation for the advection-diffusion-absorption equation using finite calculus and linear finite elements

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Stabilized solution of the multidimensional advection-diffusion-absorption equation using linear finite elements

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Nodally exact Ritz discretizations of 1D diffusion-absorption and Helmholtz equations by variational FIC and modified equation methods

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Q3122321

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Petrov-Galerkin methods for the time-dependent convective transport equation

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Q3994419

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Q3998930

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Computational Gasdynamics

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Q4255380

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Identifiers

zbMATH Open document ID

1227.76035

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Mathematics Subject Classification ID

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10.1016/J.CMA.2009.10.009

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Sitelinks

Mathematics(1 entry)

mardi Publication:649265