An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes
DOI10.1016/j.apnum.2024.06.009zbMATH Open1546.65055MaRDI QIDQ6593402
Şuayip Toprakseven, Srinivasan Natesan
Publication date: 26 August 2024
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
uniform convergencelayer-adapted meshesweak Galerkin finite element schemethird-order singularly perturbed problem
Stability and convergence of numerical methods for ordinary differential equations (65L20) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical solution of singularly perturbed problems involving ordinary differential equations (65L11)
Cites Work
- Title not available (Why is that?)
- Uniformly convergent difference schemes for a singularly perturbed third order boundary value problem
- Weak Galerkin finite element methods for Sobolev equation
- A weak finite element method for elliptic problems in one space dimension
- A robust WG finite element method for convection-diffusion-reaction equations
- Layer-adapted meshes for reaction-convection-diffusion problems
- Asymptotic structures in nonlinear dissipative and dispersive systems
- An asymptotic numerical method for singularly perturbed third-order ordinary differential equations of convection-diffusion type.
- A continuous interior penalty finite element method for a third-order singularly perturbed boundary value problem
- Error analysis of weak Galerkin finite element methods for time-dependent convection-diffusion equations
- A weak Galerkin finite element method for second-order elliptic problems
- Error analysis of a weak Galerkin finite element method for two-parameter singularly perturbed differential equations in the energy and balanced norms
- A uniformly convergent weak Galerkin finite element method on Shishkin mesh for 1d convection-diffusion problem
- On the uniform convergence of the weak Galerkin finite element method for a singularly-perturbed biharmonic equation
- Analysis of a new stabilized higher order finite element method for advection-diffusion equations
- A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods
- The Asymptotic Solution of a Class of Third-Order Boundary Value Problems Arising in the Theory of Thin Film Flows
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- A Weak Galerkin Finite Element Method for Singularly Perturbed Convection-Diffusion--Reaction Problems
- The necessity of Shishkin decompositions
- A pressure‐robust weak Galerkin finite element method for <scp>Navier–Stokes</scp> equations
- Local discontinuous Galerkin method for a third-order singularly perturbed problem of convection-diffusion type
- Sufficient Conditions for Uniform Convergence on Layer-Adapted Grids
This page was built for publication: An efficient weak Galerkin FEM for third-order singularly perturbed convection-diffusion differential equations on layer-adapted meshes
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6593402)
