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QIN Jian, HUANG Ke-fu. B-SPLINE FINITE ELEMENT METHOD FOR THE PLANE PROBLEM OF ARBITRARY QUADRILATERAL REGION[J]. Engineering Mechanics, 2010, 27(6): 29-034.
Citation: QIN Jian, HUANG Ke-fu. B-SPLINE FINITE ELEMENT METHOD FOR THE PLANE PROBLEM OF ARBITRARY QUADRILATERAL REGION[J]. Engineering Mechanics, 2010, 27(6): 29-034.
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B-SPLINE FINITE ELEMENT METHOD FOR THE PLANE PROBLEM OF ARBITRARY QUADRILATERAL REGION

  • (Department of Mechanics and Aerospace Engineering, College of Engineering, Peking University, Beijing 100871, China)

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  • Received Date: December 31, 1899
  • Revised Date: December 31, 1899
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    • Abstract
  • A spline finite element method (spline FEM) based on double cubic B-spline is presented for obtaining an approximate solution for the plane problem of arbitrary quadrilateral region, where the variational method and coordinate transformation are used. The explicit expression is derived. The proposed method is applied on examples to illustrate the efficiency of spline FEM. It is demonstrated that the spline FEM has better convergence, higher accuracy and is more efficient in computing storage. Moreover, the result is less sensitive to mesh distortion.
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