Posteriori error bound for fullydiscrete semilinear parabolic integro-differential equations
YA Sabawi - Journal of physics: Conference series, 2021 - iopscience.iop.org
The main goal of this paper is to obtain error bounds for parabolic integro-differential
equation. The derivation of these bounds is based elliptic and Ritz-Volterra reconstructions …
equation. The derivation of these bounds is based elliptic and Ritz-Volterra reconstructions …
A Posteriori L_∞(L_2)+ L_2 (H^ 1)–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems
YA Sabawi - Baghdad Science Journal, 2021 - bsj.uobaghdad.edu.iq
The aim of this paper is to derive a posteriori error estimates for semilinear parabolic
interface problems. More specifically, optimal order a posteriori error analysis in the-norm for …
interface problems. More specifically, optimal order a posteriori error analysis in the-norm for …
A posteriori error control for a Discontinuous Galerkin approximation of a Keller-Segel model
J Giesselmann, K Kwon - arXiv preprint arXiv:2309.09036, 2023 - arxiv.org
We provide a posteriori error estimates for a discontinuous Galerkin scheme for the
parabolic-elliptic Keller-Segel system in 2 or 3 space dimensions. The estimates are …
parabolic-elliptic Keller-Segel system in 2 or 3 space dimensions. The estimates are …
Convergence analysis of the splitting method to the nonlinear heat equation
HJ Choi, W Choi, Y Koh - Numerical Methods for Partial …, 2023 - Wiley Online Library
In this article, we analyze an operator splitting scheme of the nonlinear heat equation in Ω⊂
ℝ d Ω ⊂ R^ d (d≥ 1 d ≥ 1):∂ tu= Δ u+ λ| u| p− 1 u in Ω×(0,∞), u= 0 in∂ Ω×(0,∞), u (x, 0) …
ℝ d Ω ⊂ R^ d (d≥ 1 d ≥ 1):∂ tu= Δ u+ λ| u| p− 1 u in Ω×(0,∞), u= 0 in∂ Ω×(0,∞), u (x, 0) …
Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up
S Metcalfe, TP Wihler - SIAM Journal on Scientific Computing, 2022 - SIAM
This work is concerned with the development of an adaptive numerical method for
semilinear heat flow models featuring a general (possibly) nonlinear reaction term that may …
semilinear heat flow models featuring a general (possibly) nonlinear reaction term that may …
Conditional a posteriori error bounds for high order DG time stepping approximations of semilinear heat models with blow-up
S Metcalfe, TP Wihler - arXiv preprint arXiv:2105.03463, 2021 - arxiv.org
This work is concerned with the development of an adaptive numerical method for
semilinear heat flow models featuring a general (possibly) nonlinear reaction term that may …
semilinear heat flow models featuring a general (possibly) nonlinear reaction term that may …
[PDF][PDF] A Posteriori 𝑳∞(𝑳𝟐)+ 𝑳𝟐 (𝑯𝟏)–Error Bounds in Discontinuous Galerkin Methods For Semidiscrete Semilinear Parabolic Interface Problems
YA Sabawi - iasj.net
The aim of this paper is to derive a posteriori error estimates for semilinear parabolic
interface problems. More specifically, optimal order a posteriori error analysis in the …
interface problems. More specifically, optimal order a posteriori error analysis in the …