Numerical methods for a problem of thermal diffusion in elastic body with moving boundary

DOI10.1002/num.22776OpenAlexW3124413040WikidataQ115397366 ScholiaQ115397366MaRDI QIDQ6085373

Marcello Goulart Teixeira, M. A. Rincon, Rodrigo L. R. Madureira

Publication date: 12 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22776

zbMATH Keywords

moving boundarythermal diffusionnumerical simulationfinite elements methodcoupled and uncoupled method

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Cites Work

• The theory of generalized thermoelastic diffusion
• Numerical method, existence and uniqueness for thermoelasticity system with moving boundary
• Numerical analysis of quenching - heat conduction in metallic materials
• Estimates of error in finite element approximate solutions to problems in linear thermoelasticity. I: Computationally coupled numerical schemes
• Numerical analysis for a nonlinear model of elastic strings with moving ends
• Global existence and numerical simulations for a thermoelastic diffusion problem in moving boundary
• Theoretical and computational analysis of a nonlinear Schrödinger problem with moving boundary
• On the solution of the wave equation with moving boundaries
• Error estimates of vibrations of elastic string with moving ends
• Polynomial and exponential stability for one-dimensional problem in thermoelastic diffusion theory
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