0746 Least-Squares Finite Element Method and Application

  • Bo-nan Jiang, Oakland University
  • Theodore Lin, AMPS Technologies Company

Least-Squares finite element method (LSFEM) is a simple, efficient and robust technique for the numerical solution of partial differential equation in many scientific and engineering problems. The LSFEM is based on simply minimizing the L2 norm of the residuals of the differential equations, and is receiving increasing attention, especially when others methods needing special numerical treatment.

It has been demonstrated that LSFEM can solve a broad range of problems in stress, thermal, fluid dynamic and electromagnetics with one consistent mathematical and computational formulation without special treatments such as upwinding, staggered grid, vector potential, etc.

This mini-symposium is devoted to topics of LSFEM theory, formulations, numerical, computational methods and applications in all disciplines of analysis.

Reference: "The Least-Squares Finite Element Method - Theory and Applications in Computational Fluid Dynamics and Electromagnetics," Bo-nan Jiang, ISBN 3-540-63934-9, Spring-Verlag, 1998.

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