NEW HYBRID LAPLACE TRANSFORM/FINITE ELEMENT METHOD FOR TWO-DIMENSIONAL TRANSIENT HEAT CONDUCTION PROBLEM
| Autor: | Cha'o-Kuang Chen, Tzer-Ming Chen, J. W. Cleaver |
|---|---|
| Rok vydání: | 1991 |
| Předmět: |
Numerical Analysis
Laplace transform Mathematical analysis hp-FEM Inverse Laplace transform Mixed finite element method Condensed Matter Physics Computer Science Applications Mechanics of Materials Modeling and Simulation Laplace transform applied to differential equations Smoothed finite element method Two-sided Laplace transform Extended finite element method Mathematics |
| Zdroj: | Numerical Heat Transfer, Part B: Fundamentals. 20:191-206 |
| ISSN: | 1521-0626 1040-7790 |
| DOI: | 10.1080/10407799108945001 |
| Popis: | This paper presents results obtained by the implementation of a new hybrid Laplace transform/finite element method developed by the authors. Test examples are used to show that the basic accuracy is comparable to that obtained by analytical, finite difference, and finite element methods. Previously reported hybrid Laplace transform/finite element methods have been confined to one nodal solution at a time. The application to many nodes takes an excessive amount of computer time. By using a similarity transform method on the matrix of the complex number coefficients, this restriction is removed, and the new method provides a more useful tool for the solution of linear transient problems. |
| Databáze: | OpenAIRE |
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