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68 …ndard implementation [@dealII92;@libMeshPaper;@LoggMardalWells2012] relies on assembling sparse ma…
85 Consider finite element discretization of a problem based on a weak form with one weak derivative: …
108 $A$           `CeedOperator`           Linear or nonlinear operator acting on L-vectors
111 … one or more operators defined as in \autoref{fig:decomposition}, and acts on a `CeedVector`, whic…
115 … used to compute solution values and derivatives at quadrature points from the DoFs on the element.
118 These pointwise functions do not depend on element resolution, topology, or basis degree (see \auto…
120 … implementation (in vanilla C or C++) for the `CeedQFunction`s can be used on CPUs or GPUs (transp…
123 …pport for domain decomposition methods and inexact subdomain solvers based on the fast diagonaliza…
127 (in this case representing a Laplacian) on element resolution, topology, and basis degree.\label{fi…
133 …y] or Numba [@Numba] packages. The interested reader can find more details on `libCEED`'s Python i…
135 …ilation capabilities to enable concise definition of Q-functions that work on both CPUs and GPUs, …
142 …er, each process or thread can instantiate an arbitrary number of backends on an arbitrary number …
149 …f{fig:bp3} compares the performance of `libCEED` solving BP3 (CG iteration on a 3D Poisson problem…
151 …on a 2-socket AMD EPYC 7452 (32-core, 2.35GHz) and the \texttt{cuda/gen} backend on LLNL's Lassen …
166 …in this way, currently provide MFEM users with the fastest operator action on CPUs and GPUs (CUDA …