Volume 19, Issue 4
Improved Error Estimates for Mixed Finite Element for Nonlinear Hyperbolic Equations: the Continuous-Time Case

Yan Ping Chen & Yun Qing Huang

J. Comp. Math., 19 (2001), pp. 385-392

Published online: 2001-08

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  • Abstract

Improved L_2-error estimates are computed for mixed finite element methods for second order nonlinear hyperbolic equations. Results are given for the continuous-time case. The convergence of the values for both the scalar function and the flux is demonstrated. The technique used here covers the lowest-order Raviart-Thomas spaces, as well as the higher-order spaces.

  • Keywords

Nonlinear hyperbolic equations Mixed finite element methods Error estimates Superconvergence

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@Article{JCM-19-385, author = {}, title = {Improved Error Estimates for Mixed Finite Element for Nonlinear Hyperbolic Equations: the Continuous-Time Case}, journal = {Journal of Computational Mathematics}, year = {2001}, volume = {19}, number = {4}, pages = {385--392}, abstract = { Improved L_2-error estimates are computed for mixed finite element methods for second order nonlinear hyperbolic equations. Results are given for the continuous-time case. The convergence of the values for both the scalar function and the flux is demonstrated. The technique used here covers the lowest-order Raviart-Thomas spaces, as well as the higher-order spaces. }, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8991.html} }
TY - JOUR T1 - Improved Error Estimates for Mixed Finite Element for Nonlinear Hyperbolic Equations: the Continuous-Time Case JO - Journal of Computational Mathematics VL - 4 SP - 385 EP - 392 PY - 2001 DA - 2001/08 SN - 19 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8991.html KW - Nonlinear hyperbolic equations KW - Mixed finite element methods KW - Error estimates KW - Superconvergence AB - Improved L_2-error estimates are computed for mixed finite element methods for second order nonlinear hyperbolic equations. Results are given for the continuous-time case. The convergence of the values for both the scalar function and the flux is demonstrated. The technique used here covers the lowest-order Raviart-Thomas spaces, as well as the higher-order spaces.
Yan Ping Chen & Yun Qing Huang. (1970). Improved Error Estimates for Mixed Finite Element for Nonlinear Hyperbolic Equations: the Continuous-Time Case. Journal of Computational Mathematics. 19 (4). 385-392. doi:
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