NIPG Finite Element Method for Convection-Dominated Diffusion Problems with Discontinuous Data (Q6173095)

scientific article; zbMATH DE number 7714969

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English	NIPG Finite Element Method for Convection-Dominated Diffusion Problems with Discontinuous Data	scientific article; zbMATH DE number 7714969

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instance of

scholarly article

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title

NIPG Finite Element Method for Convection-Dominated Diffusion Problems with Discontinuous Data (English)

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International Journal of Computational Methods

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publication date

21 July 2023

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zbMATH Keywords

singularly perturbed problem

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discontinuous data

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interior layer

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boundary layer

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Shishkin mesh

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discontinuous Galerkin finite element method

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convection-diffusion problems

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1142/s0219876223500019

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cites work

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Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems

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A higher order difference method for singularly perturbed parabolic partial differential equations

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An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh

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Optimal error estimate using mesh equidistribution technique for singularly perturbed system of reaction-diffusion boundary-value problems

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Higher order accurate approximations on equidistributed meshes for boundary layer originated mixed type reaction diffusion systems with multiple scale nature

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Parameter uniform optimal order numerical approximation of a class of singularly perturbed system of reaction diffusion problems involving a small perturbation parameter

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Numerical solution of the three-dimensional advection--diffusion equation.

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On the numerical solution of the one-dimensional convection-diffusion equation

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Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convec\-tion coefficient

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A brief survey on numerical methods for solving singularly perturbed problems

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Asymptotic and numerical analysis of singular perturbation problems: A survey

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A graded mesh refinement approach for boundary layer originated singularly perturbed time‐delayed parabolic convection diffusion problems

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Q3412614

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Discontinuous Galerkin least-squares finite element methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and boundary singularities

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Sufficient conditions for uniform convergence on layer-adapted grids

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A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer

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Improved energy estimates for interior penalty, constrained and discontinuous Galerkin methods for elliptic problems. I

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Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations

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Robust Numerical Methods for Singularly Perturbed Differential Equations

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A second-order scheme for singularly perturbed differential equations with discontinuous source term

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The streamline-diffusion method for a convection--diffusion problem with a point source

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A moving mesh refinement based optimal accurate uniformly convergent computational method for a parabolic system of boundary layer originated reaction-diffusion problems with arbitrary small diffusion terms

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Difference Methods for Singular Perturbation Problems

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Interior penalty discontinuous approximations of convection-diffusion problems with parabolic layers

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On discontinuous Galerkin finite element method for singularly perturbed delay differential equations

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Finite element method on Shishkin mesh for a singularly perturbed problem with an interior layer

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Higher order uniformly convergent NIPG methods for 1-d singularly perturbed problems of convection-diffusion type

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Identifiers

Mathematics Subject Classification ID

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10.1142/S0219876223500019

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Sitelinks

Mathematics(1 entry)

mardi Publication:6173095