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Transient Problems

  • Prem K. Kythe
  • Dongming Wei

Abstract

We discuss the finite element analysis of one- and two-dimensional transient problems by using a semidiscrete weighted residual method and approximating the solution u by taking \( u(x,t) \approx \sum\nolimits_{i = 1}^n {} u_i^e \left( t \right)\varphi _i^e \left( x \right) \) in the one-dimensional case, and taking \( u(x,y,t) \approx \sum\nolimits_{i = 1}^n {} u_i^e \left( t \right)\varphi _i^e \left( {x,y} \right) \) in two-dimensional case, where \( \varphi _i^{\left( e \right)} \) are the interpolating shape functions, and \( u_i^{(e)} \) are determined by finite difference methods.

Keywords

Exact Solution Finite Element Solution Essential Boundary Condition Finite Element Equation Transient Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Prem K. Kythe
    • 1
  • Dongming Wei
    • 1
  1. 1.Department of MathematicsUniversity of New OrleansNew OrleansUSA

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