A SUPG formulation augmented with shock-capturing for solving convection-dominated reaction-convection-diffusion equations (Q6172877)

scientific article; zbMATH DE number 7714793

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English	A SUPG formulation augmented with shock-capturing for solving convection-dominated reaction-convection-diffusion equations	scientific article; zbMATH DE number 7714793

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instance of

scholarly article

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title

A SUPG formulation augmented with shock-capturing for solving convection-dominated reaction-convection-diffusion equations (English)

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Computational and Applied Mathematics

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publication date

20 July 2023

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zbMATH Keywords

convection-dominated differential equations

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boundary layer

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interior layer

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finite elements

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shock-capturing

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s40314-023-02370-2

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cites work

<i>YZ</i>β discontinuity capturing for advection‐dominated processes with application to arterial drug delivery

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Q4940095

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Q4949416

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Applications of the pseudo residual-free bubbles to the stabilization of convection-diffusion problems

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

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A stabilized FEM formulation with discontinuity-capturing for solving Burgers'-type equations at high Reynolds numbers

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SUPG-YZ<i>β</i>computation of chemically reactive convection-dominated nonlinear models

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

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Uniform Superconvergence of a Finite Element Method with Edge Stabilization for Convection-Diffusion Problems

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Local projection stabilisation on $S$-type meshes for convection-diffusion problems with characteristic layers

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Q3857926

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Finite element methods for first-order hyperbolic systems with particular emphasis on the compressible Euler equations

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

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Stabilized methods for compressible flows

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

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On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. II: Analysis for $P_{1}$ and $Q_{1}$ finite elements

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Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion

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A streamline-diffusion method for nonconforming finite element approximations applied to convection-diffusion problems

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Singular perturbation theory. Mathematical and analytical techniques with applications to engineering. With a foreword by Alan Jeffrey

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Crosswind Smear and Pointwise Errors in Streamline Diffusion Finite Element Methods

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How accurate is the streamline-diffusion FEM inside characteristic (boundary and interior) layers?

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The SDFEM on Shishkin meshes for linear convection-diffusion problems

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Numerical methods on Shishkin meshes for linear convection-diffusion problems

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Streamline diffusion finite element method for quasilinear elliptic problems

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Local projection methods on layer-adapted meshes for higher order discretisations of convection-diffusion problems

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Particle tracking and particle-shock interaction in compressible-flow computations with the V-SGS stabilization and $YZ\beta$ shock-capturing

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Robust numerical methods for singularly perturbed differential equations: a survey covering 2008-2012

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Robust Numerical Methods for Singularly Perturbed Differential Equations

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Necessary $L^ 2$-uniform convergence conditions for difference schemes for two-dimensional convection-diffusion problems

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A finite difference analysis of a streamline diffusion method on a Shishkin mesh

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Stabilized Finite Element Formulations for Incompressible Flow Computations

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Computation of moving boundaries and interfaces and stabilization parameters

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Finite elements in fluids: stabilized formulations and moving boundaries and interfaces

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

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Stabilization and shock-capturing parameters in SUPG formulation of compressible flows

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SUPG finite element computation of inviscid supersonic flows with $YZ \beta$ shock-capturing

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Computation of inviscid supersonic flows around cylinders and spheres with the SUPG formulation and $YZ\beta$ shock-capturing

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Finite element superconvergence on Shishkin mesh for 2-D convection-diffusion problems

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Pointwise estimates of SDFEM on Shishkin triangular meshes for problems with exponential layers

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Optimal Order $L^2$ Error Estimate of SDFEM on Shishkin Triangular Meshes for Singularly Perturbed Convection-Diffusion Equations

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How accurate is the streamline diffusion finite element method?

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Identifiers

zbMATH Open document ID

1524.35053

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DOI

10.1007/s40314-023-02370-2

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6172877