Helmholtz

Published configurations

Complete constrained Helmholtz assembly, separately from solving.

Measured operation

Measures repeated full assembly of the shared Helmholtz formulations.

The physical forms, exact coefficients, quadrature and grid sizes match HelmholtzWorkload. Setup, interpolation, the original-kernel reference and numerical checks precede timing. Public Problem::assemble includes volume kernels, matrix/load insertion and Dirichlet processing; no solve is performed. Repeated calls measure the warmed fixed-layout operation, not process-first allocation or changing coefficients.

The manufactured equation \(Ax_\star=b\) and the full matrix/load comparison are checked before and after timing. A wrong coefficient vector must fail the equation; the complex-shifted case must retain a positive imaginary diagonal sum. These are untimed correctness guards, not CTest registrations or performance gates.

Recorded results

Each case retains its original inputs, iteration policy and correctness checks. Raw reports preserve counters, repetitions and the Google Benchmark context. CPU, wall and manually supplied times are labeled separately; unlike operations and configurations are not averaged together.

Timing history

RodinHelmholtzAssemblyBenchmarks · auto · regular · ranks: 1

Benchmark machine and measurement conditions

Published CI benchmarks run on standard GitHub-hosted ubuntu-24.04 virtual machines for public repositories.

System	CPU	Memory	SSD
Ubuntu 24.04, x64	4 vCPUs	16 GB	14 GB

The benchmark builds use GCC 14 and Release mode. Each job runs one benchmark executable at a time. OpenMP, OpenBLAS and MKL use one thread; MPI ranks share the same runner. The selected configuration identifies the build and rank count.

The CPU model and host load can vary between virtual machines, so small timing differences should be checked across repeated runs. GitHub runner specifications describe the available hardware. The source workflow is BenchmarkGroup.yml.