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Fast MATLAB assembly of FEM matrices in 2D and 3D: Edge elements

Author

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  • Anjam, I.
  • Valdman, J.

Abstract

We propose an effective and flexible way to assemble finite element stiffness and mass matrices in MATLAB. We apply this for problems discretized by edge finite elements. Typical edge finite elements are Raviart–Thomas elements used in discretizations of H(div) spaces and Nédélec elements in discretizations of H(curl) spaces. We explain vectorization ideas and comment on a freely available MATLAB code which is fast and scalable with respect to time.

Suggested Citation

  • Anjam, I. & Valdman, J., 2015. "Fast MATLAB assembly of FEM matrices in 2D and 3D: Edge elements," Applied Mathematics and Computation, Elsevier, vol. 267(C), pages 252-263.
    • Handle: RePEc:eee:apmaco:v:267:y:2015:i:c:p:252-263
    DOI: 10.1016/j.amc.2015.03.105
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    Citations

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    Cited by:

    1. Yan-Ran Li & Xin-Hui Shao & Shi-Yu Li, 2021. "New Preconditioned Iteration Method Solving the Special Linear System from the PDE-Constrained Optimal Control Problem," Mathematics, MDPI, vol. 9(5), pages 1-13, March.
    2. Miroslav Frost & Jan Valdman, 2022. "Vectorized MATLAB Implementation of the Incremental Minimization Principle for Rate-Independent Dissipative Solids Using FEM: A Constitutive Model of Shape Memory Alloys," Mathematics, MDPI, vol. 10(23), pages 1-17, November.
    3. Moskovka, Alexej & Valdman, Jan, 2022. "Fast MATLAB evaluation of nonlinear energies using FEM in 2D and 3D: Nodal elements," Applied Mathematics and Computation, Elsevier, vol. 424(C).
    4. Voet, Yannis, 2023. "On the fast assemblage of finite element matrices with application to nonlinear heat transfer problems," Applied Mathematics and Computation, Elsevier, vol. 436(C).

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