Numerical solution of singularly perturbed 2-D convection-diffusion elliptic interface PDEs with Robin-type boundary conditions

Autor: Carmelo Clavero, Ram Shiromani, Vembu Shanthi

Publikováno v: Computers & Mathematics with Applications. 140:1-16

We consider a singularly perturbed two-dimensional convection-diffusion elliptic interface problem with Robin boundary conditions, where the source term is a discontinuous function. The coefficient of the highest-order terms in the differential equat

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3dcf74f5c102d7b9ff3a7c196ff6390
https://doi.org/10.1016/j.camwa.2023.03.010

BAIL 2010 - Boundary and Interior Layers, Computational and Asymptotic Methods

Autor: José Luis Gracia, Carmelo Clavero, Francisco J. Lisbona, Interior Layers

Publikováno v: Lecture Notes in Computational Science and Engineering ISBN: 9783642196645
BAIL 2010-Boundary and Interior Layers, Computational and Asymptotic Methods

This volume will contain selected papers from the lectures held at the BAIL 2010 Conference, which took place from July 5th to 9th, 2010 in Zaragoza (Spain). The papers present significant advances in the modeling, analysis and construction of effici

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f1ba0bedeebfa3541b1e131ab42d64c4
https://doi.org/10.1007/978-3-642-19665-2

Uniform convergence of arbitrary order on nonuniform meshes for a singularly perturbed boundary value problem

Autor: Carmelo Clavero, Francisco J. Lisbona, John J. H. Miller

Publikováno v: Journal of Computational and Applied Mathematics. (2):155-171

We consider the numerical solution of a singularly perturbed linear self-adjoint boundary value problem. Assuming that the coefficients of the differential equation are smooth, we construct and analyze finite difference methods that converge both wit

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97e649f03cc16297be951b8b0cafa066