The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. IV. The multidimensional case
作者： Bernardo Cockburn , Suchung Hou , Chi-Wang Shu
DOI: 10.1090/S0025-5718-1990-1010597-0
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摘要: … [34] introduced a third-order accurate TVB scheme (which is TVD under another … are TVB schemes which are uniformly A:th-order accurate, k > 1, [5, 6, 7].) However, to prove the TVB …
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M. Mallet, T. J. R. Hughes, A high-precision finite element method for shock-tube calculations John Wiley & Sons. pp. 339- 353 ,(1985)
Enrico Giusti, Minimal surfaces and functions of bounded variation ,(1977)
Peter F G Hansbo, Claes Johnson, Anders Szepessy, On the convergence of shock-capturing streamline diffusion finite element methods for hyperbolic conservation laws Mathematics of Computation. ,vol. 54, pp. 107- 129 ,(1990) , 10.2307/2008684
Chi-Wang Shu, TVB boundary treatment for numerical solutions of conservation laws Mathematics of Computation. ,vol. 49, pp. 123- 134 ,(1987) , 10.1090/S0025-5718-1987-0890257-7
Claes Johnson, Anders Szepessy, On the convergence of a finite element method for a nonlinear hyperbolic conservation law Mathematics of Computation. ,vol. 49, pp. 427- 444 ,(1987) , 10.2307/2008320
Chi-Wang Shu, Stanley Osher, Efficient implementation of essentially non-oscillatory shock-capturing schemes,II Journal of Computational Physics. ,vol. 83, pp. 32- 78 ,(1989) , 10.1016/0021-9991(89)90222-2
P. K. Sweby, High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws SIAM Journal on Numerical Analysis. ,vol. 21, pp. 995- 1011 ,(1984) , 10.1137/0721062
Bernardo Cockburn, San-Yih Lin, Chi-Wang Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems Journal of Computational Physics. ,vol. 84, pp. 90- 113 ,(1989) , 10.1016/0021-9991(89)90183-6
Bernardo Cockburn, Chi-Wang Shu, The Runge-Kutta local projection $P^1$-discontinuous-Galerkin finite element method for scalar conservation laws Mathematical Modelling and Numerical Analysis. ,vol. 25, pp. 337- 361 ,(1991) , 10.1051/M2AN/1991250303371
Ami Harten, On a Class of High Resolution Total-Variation-Stable Finite-Difference Schemes ,(2017)