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72 …m structure to reduce costs to $O(1)$ storage and $O(p)$ compute per DoF, with very high utilizati…
75 …lgebraic interface for linear and nonlinear operators and preconditioners with element-based discr…
85 Consider finite element discretization of a problem based on a weak form with one weak derivative: …
99 ![`libCEED` uses a logical decomposition to define element-based discretizations, with optimized im…
112 …oFs, and may be a no-op when data is already composed by element (such as with discontinuous Galer…
114 Some constructors are provided for arbitrary polynomial degree $H^1$ Lagrange bases with a tensor-p…
117 …on`, which can either be defined by the user or selected from a gallery distributed with `libCEED`.
122 `libCEED` provides computation of the true operator diagonal for preconditioning with Jacobi and Ch…
126 elements with different topology. This sketch shows the independence of Q-functions
133 …ctor` in Python, and supports no-copy host and GPU device interperability with Python arrays from …
135 … concise definition of Q-functions that work on both CPUs and GPUs, along with their composition i…
144 ![`libCEED` provides the algebraic core for element-based discretizations, with specialized impleme…
149 …mesh management and parallel solvers with GPU-aware communication [@zhang2021petscsf]; a similar i…
151 …with NVIDIA V100 GPUs. Each curve represents fixing the basis degree $p$ and varying the number of…
155 … `libCEED`'s full capability for real-world applications, `libCEED` comes with a suite of applicat…
157 …lves static linear elasticity and hyperelasticity with load continuation and Newton-Krylov solvers…
163 `libCEED` also includes additional examples with PETSc, MFEM, and Nek5000 [@Nekwebsite].
165 If MFEM is built with `libCEED` support, existing MFEM users can pass `-d ceed-cuda:/gpu/cuda/gen` …
166 The `libCEED` implementations, accessed in this way, currently provide MFEM users with the fastest …