A higher order hybrid-numerical approximation for a class of singularly perturbed two-dimensional convection-diffusion elliptic problem with non-smooth convection and source terms
DOI10.1016/j.camwa.2023.04.004MaRDI QIDQ6103643
Ram Shiromani, Vembu Shanthi, Pratibhamoy Das
Publication date: 5 June 2023
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
singular perturbationShishkin meshhybrid difference schemeelliptic problemnon-smooth datadiscontinuous convection and source terms
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Numerical analysis (65-XX)
Related Items (6)
Cites Work
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- A parameter robust higher order numerical method for singularly perturbed two parameter problems with non-smooth data
- Comparison of a priori and a posteriori meshes for singularly perturbed nonlinear parameterized problems
- Parameter uniform numerical methods for singularly perturbed elliptic problems with parabolic boundary layers
- A robust finite element method for a singularly perturbed elliptic problem with two small parameters
- Uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems. I: Reaction-diffusion type
- The midpoint upwind scheme
- Convergence analysis of finite element methods for singularly perturbed problems
- Uniform convergence of discontinuous finite element methods for singularly perturbed reaction-diffusion problems
- Global uniformly convergent finite element methods for singularly perturbed elliptic boundary value problems: Higher-order elements
- The Bakhvalov mesh: a complete finite-difference analysis of two-dimensional singularly perturbed convection-diffusion problems
- A higher-order finite difference method for two-dimensional singularly perturbed reaction-diffusion with source-term-discontinuous problem
- Parameter-uniform fractional step hybrid numerical scheme for 2D singularly perturbed parabolic convection-diffusion problems
- An a posteriori based convergence analysis for a nonlinear singularly perturbed system of delay differential equations on an adaptive mesh
- A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
- Decomposition of the solution to a two-dimensional singularly perturbed convection-diffusion equation with variable coefficients in a square and estimates in Hölder norms
- Parameter-uniform numerical method for a two-dimensional singularly perturbed convection-reaction-diffusion problem with interior and boundary layers
- Parameter-uniform numerical scheme for singularly perturbed parabolic convection-diffusion Robin type problems with a boundary turning point
- Novel fitted operator finite difference methods for singularly perturbed elliptic convection–diffusion problems in two dimensions
- Differentiability Properties of Solutions of the Equation $ - \varepsilon ^2 \Delta u + ru = f(x,y)$ in a Square
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions
- Convection-Diffusion Problems
- Numerical treatment of two‐parameter singularly perturbed parabolic convection diffusion problems with non‐smooth data
- Theoretical prospects of fractional order weakly singular Volterra Integro differential equations and their approximations with convergence analysis
- A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis
- A higher order difference method for singularly perturbed parabolic partial differential equations
- Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem
- Uniform in a small parameter convergence of Samarskii's monotone scheme and its modification for the convection-diffusion equation with a concentrated source
- Optimal convergence of basic schemes for elliptic boundary value problems with strong parabolic layers.
- An efficient numerical approach for singularly perturbed parabolic convection-diffusion problems with large time-lag
- A computational method for a two-parameter singularly perturbed elliptic problem with boundary and interior layers
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