Welcome to libCEED’s User Manual!

Contents

Indices and tables

AB93

Ellen M Arruda and Mary C Boyce. A three-dimensional constitutive model for the large stretch behavior of rubber elastic materials. Journal of the Mechanics and Physics of Solids, 41(2):389–412, 1993. doi:10.1016/0022-5096(93)90013-6.

BAB+21

Jed Brown, Ahmad Abdelfattah, Valeria Barra, Natalie Beams, Jean Sylvain Camier, Veselin Dobrev, Yohann Dudouit, Leila Ghaffari, Tzanio Kolev, David Medina, Will Pazner, Thilina Ratnayaka, Jeremy Thompson, and Stan Tomov. libCEED: fast algebra for high-order element-based discretizations. Journal of Open Source Software, 6(63):2945, 2021. doi:10.21105/joss.02945.

DPA+20

Denis Davydov, Jean-Paul Pelteret, Daniel Arndt, Martin Kronbichler, and Paul Steinmann. A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid. International Journal for Numerical Methods in Engineering, 121(13):2874–2895, 2020. doi:10.1002/nme.6336.

GRL10

F. X. Giraldo, M. Restelli, and M. Läuter. Semi-implicit formulations of the navier–stokes equations: application to nonhydrostatic atmospheric modeling. SIAM Journal on Scientific Computing, 32(6):3394–3425, 2010. doi:10.1137/090775889.

Hol00

Gerhard Holzapfel. Nonlinear solid mechanics: a continuum approach for engineering. Wiley, Chichester New York, 2000. ISBN 978-0-471-82319-3.

HST10

Thomas J R Hughes, Guglielmo Scovazzi, and Tayfun E Tezduyar. Stabilized methods for compressible flows. Journal of Scientific Computing, 43:343–368, 2010. doi:10.1007/s10915-008-9233-5.

Hug12

Thomas JR Hughes. The finite element method: linear static and dynamic finite element analysis. Courier Corporation, 2012.

PMK92

TC Papanastasiou, N Malamataris, and Ellwood K. A new outflow boundary condition. International Journal for Numerical Methods in Fluids, 14:587–608, March 1992. doi:10.1002/fld.1650140506.

SWW+93

Jerry M Straka, Robert B Wilhelmson, Louis J Wicker, John R Anderson, and Kelvin K Droegemeier. Numerical solutions of a non-linear density current: a benchmark solution and comparisons. International Journal for Numerical Methods in Fluids, 17(1):1–22, 1993. doi:10.1002/fld.1650170103.

WWP09

Samuel Williams, Andrew Waterman, and David Patterson. Roofline: an insightful visual performance model for multicore architectures. Communications of the ACM, 52(4):65–76, 2009. doi:10.1145/1498765.1498785.

ZZS11

Rui Zhang, Mengping Zhang, and Chi-Wang Shu. On the order of accuracy and numerical performance of two classes of finite volume weno schemes. Communications in Computational Physics, 9(3):807–827, 2011. doi:10.4208/cicp.291109.080410s.

Brown10

J. Brown. Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in 3D. Journal of Scientific Computing, October 2010. doi:10.1007/s10915-010-9396-8.