Numerical approximation of the singularly perturbed heat equation in a circle
DOI10.1007/s10915-014-9845-xzbMath1315.65087arXiv1409.3266OpenAlexW2068596826MaRDI QIDQ2341107
Publication date: 23 April 2015
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.3266
Singular perturbations in context of PDEs (35B25) Heat equation (35K05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)
Related Items (3)
Cites Work
- A high order HODIE finite difference scheme for 1D parabolic singularly perturbed reaction-diffusion problems
- Numerical approximation of one-dimensional stationary diffusion equations with boundary layers
- New approximation algorithms for a class of partial differential equations displaying boundary layer behavior
- Asymptotic analysis of the linearized Navier-Stokes equations in a channel
- On the numerical approximations of stiff convection-diffusion equations in a circle
- Singular perturbation analysis of time dependent convection-diffusion equations in a circle
- Boundary layers in smooth curvilinear domains: parabolic problems
- On parabolic boundary layers for convection-diffusion equations in a channel: Analysis and numerical applications
- Lineare Spline-Funktionen und die Methoden von Ritz für elliptische Randwertprobleme
- Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
- A high order uniformly convergent alternating direction scheme for time dependent reaction-diffusion singularly perturbed problems
- Singularly perturbed reaction–diffusion equations in a circle with numerical applications
- Boundary layer theory for convection-diffusion equations in a circle
- Pointwise error estimates for a singularly perturbed time-dependent semilinear reaction-diffusion problem
- SINGULAR PERTURBATION ANALYSIS ON A HOMOGENEOUS OCEAN CIRCULATION MODEL
- Steady-state convection-diffusion problems
- Robust Numerical Methods for Singularly Perturbed Differential Equations
- Asymptotic Analysis of a Singular Perturbation Problem
- The Sdfem for a Convection-diffusion Problem with Two Small Parameters
- The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy
- A robust finite difference method for a singularly perturbed degenerate parabolic problem II
- Asymptotic analysis of the Stokes problem on general bounded domains: the case of a characteristic boundary
- Numerical Solution of the Navier-Stokes Equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Numerical approximation of the singularly perturbed heat equation in a circle
