The WEB-Method

Weighted extended B-splines (WEB-splines) provide a new class of finite elements for solving two- and three-dimensional boundary value problems.
The resulting WEB-method does not require any grid generation and, as a consequence, can be implemented very efficiently. High accuracy can be obtained with relatively low dimensional approximation spaces.

Advantages of the WEB-method

no grid generation
natural integration in CAD/CAM-systems based on tensor product B-splines
simple implementation and short computing times
approximations of arbitrary order of accuracy by appropriate choice of the degree of the trial functions
low dimensional approximation spaces
exact fulfillment of boundary conditions
well suited for multigrid methods and hierarchical refinement

A brief description of the WEB-method can be found in the section 'The WEB-Method', numerical computations, and performance tests in 'Examples'. For technical details we refer to 'Publications'.

Last modification: 2010/02/24

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