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Matrix Free approach for Raviart-Thomas anisotropic Tensor Product Finite Elements

Mehta, Saurabh

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Download (853kB) | Lizenz: Creative Commons LizenzvertragMatrix Free approach for Raviart-Thomas anisotropic Tensor Product Finite Elements by Mehta, Saurabh underlies the terms of Creative Commons Attribution 4.0

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Download (852kB) | Lizenz: Creative Commons LizenzvertragMatrix Free approach for Raviart-Thomas anisotropic Tensor Product Finite Elements by Mehta, Saurabh underlies the terms of Creative Commons Attribution 4.0

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Abstract

In this thesis, we develop techniques for fast, efficient cell based operator evaluation of Raviart-Thomas finite elements and thereby extend the existing implementation of matrix free framework in deal.ii. The extensions allow the framework to also support anisotropic vector-valued finite elements in addition to existing isotropic Lagrangian finite elements. Tests on finite element operators in divergence conforming spaces for Mixed diffusion equation and Stokes equations show that the method is sufficiently accurate (relative error 10e-16) and for RT2 is already twice as fast as corresponding sparse matrix based solution.

Item Type: Master's thesis
Supervisor: Kanschat, Prof. Dr. Guido
Place of Publication: Heidelberg, Germany
Date of thesis defense: 27 March 2018
Date Deposited: 28 Mar 2018 09:05
Date: 2018
Faculties / Institutes: The Faculty of Mathematics and Computer Science > Dean's Office of The Faculty of Mathematics and Computer Science
Subjects: 004 Data processing Computer science
510 Mathematics
Controlled Keywords: Finite element, Mixed Finite element, Raviart-Thomas Finite Element, high performance computing, matrixfree
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