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Graddiv-conforming spectral element method for fourth-order div problems
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DOI：10.1016/j.cam.2025.116599.png)
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Abstract
En 中文
This paper introduces a novel numerical method to solve fourth-order div problems using graddiv-conforming spectral elements on cuboidal meshes. We start by determining the continuity requirements for graddiv-conforming spectral elements, followed by constructing these elements using generalized Jacobi polynomials and the Piola transformation. The resulting basis functions exhibit a hierarchical structure, making them easily extendable to higher orders. We apply these graddiv-conforming spectral elements to solve the fourth-order div problem and present numerical examples to verify both the efficiency and effectiveness of the method.
Keywords:
Graddiv-conforming elements
Cuboidal spectral element method
Fourth-order div problem
Hierarchical basis functions
Journal
J
IF:
2.6
Papers:
336
Citations:
0