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You searched for +publisher:"Texas Tech University" +contributor:("Ke, Guoyi"). One record found.

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1. -0284-2733. Adaptive mesh refinement for Multigrid Solver.

Degree: MS, Mathematics, 2016, Texas Tech University

In this work, we introduce the Galerkin finite element Method for Elliptic Problems. The estimates of the approximation error in both energy norm and L2 are given for the variational formulation of the Poisson problem, discretized by the Galerkin finite element method. Then, the adaptive mesh refinement from Quarteroni is applied to solve the multigrid Poisson problem. This refinement is proven to be very efficient and effective compared with the uniform mesh refinement. Moreover, we propose a new estimator for the adaptive mesh refinement based on the error of approximate solution in the adjacent levels. The numerical results show that the adaptive mesh refinement with a new estimator performs much better than the one with an estimator from Quarteroni in terms of both computational time and the number of elements. Advisors/Committee Members: Bornia, Giorgio (committee member), Ke, Guoyi (committee member), Aulisa, Eugenio (Committee Chair).

Subjects/Keywords: Numerical method; Adaptive refinement.

Texas Tech University, Shih-Yu Lee, December 2016 in terms of both computational time and… …the number of elements. 2 Texas Tech University, Shih-Yu Lee, December 2016 CHAPTER II… …x28;2.7) Texas Tech University, Shih-Yu Lee, December 2016 f being a function of L2 (… …x29; Texas Tech University, Shih-Yu Lee, December 2016 Denoting with {ϕj , j = 1, 2… …can be a tetrahedron, a prism, or a hexahedron. 6 Texas Tech University, Shih-Yu Lee… 

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APA (6th Edition):

-0284-2733. (2016). Adaptive mesh refinement for Multigrid Solver. (Masters Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/72358

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Chicago Manual of Style (16th Edition):

-0284-2733. “Adaptive mesh refinement for Multigrid Solver.” 2016. Masters Thesis, Texas Tech University. Accessed September 27, 2020. http://hdl.handle.net/2346/72358.

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MLA Handbook (7th Edition):

-0284-2733. “Adaptive mesh refinement for Multigrid Solver.” 2016. Web. 27 Sep 2020.

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Vancouver:

-0284-2733. Adaptive mesh refinement for Multigrid Solver. [Internet] [Masters thesis]. Texas Tech University; 2016. [cited 2020 Sep 27]. Available from: http://hdl.handle.net/2346/72358.

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Council of Science Editors:

-0284-2733. Adaptive mesh refinement for Multigrid Solver. [Masters Thesis]. Texas Tech University; 2016. Available from: http://hdl.handle.net/2346/72358

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

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