6533b853fe1ef96bd12ad39e

RESEARCH PRODUCT

On the numerical solution of axisymmetric domain optimization problems by dual finite element method

Raino A. E. MäkinenIvan Hlaváček

subject

Numerical AnalysisFinite element limit analysisApplied MathematicsMathematical analysisMixed finite element methodBoundary knot methodFinite element methodComputational MathematicsMethod of fundamental solutionsShape optimizationAnalysisMathematicsExtended finite element methodFree energy principle

description

Shape optimization of an axisymmetric three-dimensional domain with an elliptic boundary value state problem is solved. Since the cost functional is given in terms of the cogradient of the solution, a dual finite element method based on the minimum of complementary energy principle is used. © 1994 John Wiley & Sons, Inc.

https://doi.org/10.1002/num.1690100510