Lecture 9: Solution of Equilibrium Equations in Static Analysis

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Topics: Solution of finite element equilibrium equations in static analysis

  • Solution of finite element equations in static analysis
  • Basic Gauss elimination
  • Static condensation
  • Substructuring
  • Multi-level substructuring
  • Frontal solution
  • LDLT-factorization (column reduction scheme) as used in SAP and ADINA
  • Cholesky factorization
  • Out-of-core solution of large systems
  • Demonstration of basic techniques using simple examples
  • Physical interpretation of the basic operations used

Instructor: Klaus-Jürgen Bathe

Related Resources

Study Guide (PDF)


Sections 8.1-8.3


Problems 8.1-8.22

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  • English - US (SRT)