On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems

article On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems published yes Hendrik Westermann author 608160000-0002-5034-9708 Rolf Mahnken author 335 9 department 154 department 321 department Elsevier BV2023 eng Computer Science ApplicationsGeneral Physics and AstronomyMechanical EngineeringMechanics of MaterialsComputational Mechanics Computer Methods in Applied Mechanics and Engineering 0045-782510.1016/j.cma.2023.116545 418 H. Westermann, R. Mahnken, Computer Methods in Applied Mechanics and Engineering 418 (2023). Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” Computer Methods in Applied Mechanics and Engineering 418 (2023). <a href="https://doi.org/10.1016/j.cma.2023.116545">https://doi.org/10.1016/j.cma.2023.116545</a>. Westermann, H., & Mahnken, R. (2023). On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. Computer Methods in Applied Mechanics and Engineering, 418, Article 116545. <a href="https://doi.org/10.1016/j.cma.2023.116545">https://doi.org/10.1016/j.cma.2023.116545</a> H. Westermann and R. Mahnken, “On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems,” Computer Methods in Applied Mechanics and Engineering, vol. 418, Art. no. 116545, 2023, doi: <a href="https://doi.org/10.1016/j.cma.2023.116545">10.1016/j.cma.2023.116545</a>. Westermann H, Mahnken R. On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems. Computer Methods in Applied Mechanics and Engineering. 2023;418. doi:<a href="https://doi.org/10.1016/j.cma.2023.116545">10.1016/j.cma.2023.116545</a> @article{Westermann_Mahnken_2023, title={On the accuracy, stability and computational efficiency of explicit last-stage diagonally implicit Runge–Kutta methods (ELDIRK) for the adaptive solution of phase-field problems}, volume={418}, DOI={<a href="https://doi.org/10.1016/j.cma.2023.116545">10.1016/j.cma.2023.116545</a>}, number={116545}, journal={Computer Methods in Applied Mechanics and Engineering}, publisher={Elsevier BV}, author={Westermann, Hendrik and Mahnken, Rolf}, year={2023} } Westermann, Hendrik, and Rolf Mahnken. “On the Accuracy, Stability and Computational Efficiency of Explicit Last-Stage Diagonally Implicit Runge–Kutta Methods (ELDIRK) for the Adaptive Solution of Phase-Field Problems.” Computer Methods in Applied Mechanics and Engineering, vol. 418, 116545, Elsevier BV, 2023, doi:<a href="https://doi.org/10.1016/j.cma.2023.116545">10.1016/j.cma.2023.116545</a>. 484652023-10-25T10:47:23Z2023-11-07T14:34:56Z