A higher-order finite difference method for two-dimensional singularly perturbed reaction-diffusion with source-term-discontinuous problem

K Aarthika, R Shiromani, V Shanthi - Computers & Mathematics with …, 2022 - Elsevier
This paper considers a two-dimensional singularly perturbed reaction-diffusion equation
with a discontinuous source term. Due to this discontinuity, interior, corner, and boundary …

A staggered discontinuous Galerkin method for the Stokes problem on rectangular meshes

HH Kim, GM Gie, CY Jung, TB Nguyen - Computers & Mathematics with …, 2024 - Elsevier
In this paper, staggered discontinuous Galerkin (SDG) approximation for the Stokes problem
is developed in a 2D square domain. The square domain is discretized by using rectangular …

[PDF][PDF] A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems

H Raad, M Sabawi - Tikrit Journal of Pure Science, 2022 - iasj.net
In this paper, a priori error analysis has been examined for the continuous Galerkin finite
element method which is used for solving a generic scalar and a generic system of linear …

[PDF][PDF] Finite Element Method for Solving Elliptic 2D Problem on Linear Triangular Element

SK Abd, AK Al-Abadi - Journal of Iraqi Al-Khwarizmi (JIKh) Volume, 2023 - iasj.net
This study investigates the finite element method for second order elliptic issues in a two-
dimensional polygonal region. In view of the practical regularity assumptions of the real …