Improvement of the constructive a priori error estimates for a fully discretized periodic solution of heat equation

DOI10.1515/cmam-2022-0015OpenAlexW4281554471MaRDI QIDQ2160296

Teruya Minamoto, Takuma Kimura, Mitsuhiro T. Nakao

Publication date: 3 August 2022

Published in: Computational Methods in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/cmam-2022-0015

zbMATH Keywords

periodic solutionsfinite element methodparabolic problemconstructive a priori error estimates

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Heat equation (35K05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical analysis (65-XX)

Uses Software

• INTLAB

Cites Work

• Solving nonlinear parabolic problems with result verification. I: One- space dimensional case
• Infinite-dimensional dynamical systems in mechanics and physics.
• Error constants for the semi-discrete Galerkin approximation of the linear heat equation
• Constructive error estimates for full discrete approximation of periodic solution for heat equation
• Constructive A Priori Error Estimates for a Full Discrete Approximation of the Heat Equation
• Numerical Approximation of a Periodic Linear Parabolic Problem
• Error Estimates for Semidiscrete Finite Element Approximations of Linear and Semilinear Parabolic Equations Under Minimal Regularity Assumptions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Improvement of the constructive a priori error estimates for a fully discretized periodic solution of heat equation