Tensor B-Spline Numerical Methods for PDEs: a High-Performance Alternative to FEM
Dmytro Shulga,
Oleksii Morozov,
Volker Roth
et al.
Abstract:Tensor B-spline methods are a high-performance alternative to solve partial differential equations (PDEs). This paper gives an overview on the principles of Tensor B-spline methodology, shows their use and analyzes their performance in application examples, and discusses its merits. Tensors preserve the dimensional structure of a discretized PDE, which makes it possible to develop highly efficient computational solvers. B-splines provide high-quality approximations, lead to a sparse structure of the system ope… Show more
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