Hybrid Laplace transform/finite element method for one-dimensional transient heat conduction problems

DOI10.1016/0045-7825(87)90124-1zbMath0607.73120OpenAlexW1997957318MaRDI QIDQ1085692

Cha'o-Kuang Chen, Han-Taw Chen, Tzer-Ming Chen

Publication date: 1987

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(87)90124-1

zbMATH Keywords

stablefinite element methodconvergentHonig- Hirdes inversion methodremoves the time terms using the Laplace transformtime-dependent heat flow systems

Mathematics Subject Classification ID

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Cites Work

• Unnamed Item
• A method for the numerical inversion of Laplace transforms
• Unified solutions of heat diffusion in a finite region involving a surface film of finite heat capacity
• Boundary integral equation method for linear porous-elasticity with applications to soil consolidation
• An explicit conditionally stable finite difference equation for-heat conduction problems
• Improved difference approximations to the heat equation
• Transient heat conduction problems using B.I.E.M.
• Numerical Inversion of Laplace Transforms: An Efficient Improvement to Dubner and Abate's Method
• Variational principles for linear initial-value problems
• A method of solution for certain problems of transient heat conduction

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