共 69 条
[1]
Benamou J-D(2000)A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem Numer. Math. 84 375-393
[2]
Brenier Y(1986)The construction of preconditioners for elliptic problems by substructuring I. Math. Comp. 47 103-134
[3]
Bramble JH(2012)Finite element approximations of the three dimensional monge-ampère equation ESAIM. Math. Model. Numer. Anal. 46 979-1001
[4]
Pasciak JE(2011)A $\mathcal {c}^{0}$⌋0 interior penalty method for a fourth order elliptic singular perturbation problem SIAM J. Numer. Anal. 49 869-892
[5]
Schatz AH(2016)A recovery based linear finite element method for 1D bi-harmonic problems J. Scient. Comput. 68 375-394
[6]
Brenner S(2011)Approximation of the biharmonic problem using p1 finite elements J. Numer. Math. 19 1-26
[7]
Neilan M(2013)Recent developments in numerical methods for fully nonlinear second-order partial differential equations SIAM Rev. 55 205-267
[8]
Brenner S(2017)Convergent semi-Lagrangian methods for the monge-ampère equation on unstructured grids SIAM J. Numer. Anal. 55 691-712
[9]
Neilan M(2016)Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations J. Comput. Appl. Math. 299 68-91
[10]
Chen H(2018)Nonstandard local discontinuous Galerkin methods for fully nonlinear second order elliptic and parabolic equations in high dimensions J. Scient. Comput. 77 1534-1565