An efficient, accurate, simple ALE method for nonlinear finite element programs
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[1] G. Thomas. Calculus and Analytic Geometry , 1953 .
[2] R. D. Richtmyer,et al. Difference methods for initial-value problems , 1959 .
[3] W. F. Noh,et al. CEL: A TIME-DEPENDENT, TWO-SPACE-DIMENSIONAL, COUPLED EULERIAN-LAGRANGE CODE , 1963 .
[4] M. Wilkins. Calculation of Elastic-Plastic Flow , 1963 .
[5] H. Keller,et al. Analysis of Numerical Methods , 1969 .
[6] Jay P. Boris,et al. Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works , 1973 .
[7] B. V. Leer,et al. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .
[8] Thomas J. R. Hughes,et al. IMPLICIT-EXPLICIT FINITE ELEMENTS IN TRANSIENT ANALYSIS: IMPLEMENTATION AND NUMERICAL EXAMPLES. , 1978 .
[9] J. Marsden,et al. Product formulas and numerical algorithms , 1978 .
[10] Ted Belytschko,et al. COMPUTER MODELS FOR SUBASSEMBLY SIMULATION , 1978 .
[11] S. Zalesak. Fully multidimensional flux-corrected transport algorithms for fluids , 1979 .
[12] B. V. Leer,et al. Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .
[13] C. W. Hirt,et al. SALE: a simplified ALE computer program for fluid flow at all speeds , 1980 .
[14] R. T. Barton,et al. HEMP advection model , 1981 .
[15] Wing Kam Liu,et al. Lagrangian-Eulerian finite element formulation for incompressible viscous flows☆ , 1981 .
[16] J. O. Hallquist,et al. Recent developments in large-scale finite-element Lagrangian hydrocode technology. [Dyna 20/dyna 30 computer code] , 1981 .
[17] H. M. Ruppel,et al. SALE-3D: a simplified ALE computer program for calculating three-dimensional fluid flow , 1981 .
[18] T. Belytschko,et al. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control , 1981 .
[19] Donald E. Burton,et al. Physics and numerics of the tensor code (incomplete preliminary documentation) , 1982 .
[20] R. T. Barton,et al. Rescaling of equipotential smoothing , 1982 .
[21] J. O. Hallquist,et al. User's manual for DYNA2D: an explicit two-dimensional hydrodynamic finite-element code with interactive rezoning , 1982 .
[22] J. Brackbill,et al. Adaptive zoning for singular problems in two dimensions , 1982 .
[23] Joe F. Thompson,et al. Boundary-fitted coordinate systems for numerical solution of partial differential equations—A review , 1982 .
[24] Bram van Leer,et al. On the Relation Between the Upwind-Differencing Schemes of Godunov, Engquist–Osher and Roe , 1984 .
[25] P. Woodward,et al. The Piecewise Parabolic Method (PPM) for Gas Dynamical Simulations , 1984 .
[26] O. C. Zienkiewicz,et al. Iterative solution of mixed problems and the stress recovery procedures , 1985 .
[27] Wing Kam Liu,et al. Stability of multi-time step partitioned integrators for first-order finite element systems , 1985 .
[28] Thomas J. R. Hughes,et al. A Petrov-Galerkin finite element method for convection-dominated flows: An accurate upwinding technique for satisfying the maximum principle☆ , 1985 .
[29] Ted Belytschko,et al. An arbitrary Lagrangian-Eulerian finite element method for path-dependent materials , 1986 .
[30] Thomas J. R. Hughes,et al. LARGE-SCALE VECTORIZED IMPLICIT CALCULATIONS IN SOLID MECHANICS ON A CRAY X-MP/48 UTILIZING EBE PRECONDITIONED CONJUGATE GRADIENTS. , 1986 .
[31] J. O. Hallquist,et al. DYNA3D user's manual: (Nonlinear dynamic analysis of structures in three dimensions): Revision 5 , 1987 .
[32] T. Hughes,et al. A new finite element formulation for computational fluid dynamics: II. Beyond SUPG , 1986 .
[33] Ted Belytschko,et al. Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua , 1988 .
[34] T. Hughes,et al. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations , 1990 .