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pro vyhledávání: '"Williams David M"'
This work introduces a new solution-transfer process for slab-based space-time finite element methods. The new transfer process is based on Hsieh-Clough-Tocher (HCT) splines and satisfies the following requirements: (i) it maintains high-order accura
Externí odkaz:
http://arxiv.org/abs/2409.11639
Autor:
Gobel, Trenton J., Williams, David M.
In this work, a family of symmetric interpolation points are generated on the four-dimensional simplex (i.e. the pentatope). These points are optimized in order to minimize the Lebesgue constant. The process of generating these points closely follows
Externí odkaz:
http://arxiv.org/abs/2404.17102
Autor:
Miller, Edward A., Williams, David M.
Versatile mixed finite element methods were originally developed by Chen and Williams for isothermal incompressible flows in "Versatile mixed methods for the incompressible Navier-Stokes equations," Computers & Mathematics with Applications, Volume 8
Externí odkaz:
http://arxiv.org/abs/2402.18660
Autor:
Anderson, Jude T., Williams, David M.
This paper provides a comprehensive guide to generating unconstrained, simplicial, four-dimensional (4D), hypervolume meshes for space-time applications. While several universal procedures for constructing unconstrained, d-dimensional, anisotropic De
Externí odkaz:
http://arxiv.org/abs/2312.17414
Autor:
Williams, David M., Nigam, Nilima
In this paper, we present explicit expressions for conforming finite element function spaces, basis functions, and degrees of freedom on the pentatope and tetrahedral prism elements. More generally, our objective is to construct finite element functi
Externí odkaz:
http://arxiv.org/abs/2308.06258