NonlinearPoisson

Published configurations

Prescribed-state semilinear residual and tangent assembly.

Measured operation

Measures the volume assembly used by semilinear Poisson Newton steps.

The benchmark separates residual and tangent costs at a fixed discrete state.

Architecture

On the unit box, a public DOF interpolation prescribes \(q=s(1+x_0)\). Separate public forms assemble \(R(q;v)=\int\nabla q\cdot\nabla v+(q+q^3)v\) and \(J(q;w,v)=\int\nabla w\cdot\nabla v+(1+3q^2)wv\). Untimed gates compare the tangent with the original quadrature loop, check analytic actions, and differentiate the assembled residual. Warm replacement assembly is timed; a post-timing state change checks cache invalidation. There are no constraints, boundary integrals, source terms, nonlinear iterations, or linear solves in this scope. Curved Q2 cases use the existing volume-preserving quadratic shear in dimensions two and three. Its first coordinate is unchanged, so the same affine state and analytic actions apply without a geometry-dependent reference solve.

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

RodinNonlinearPoissonAssemblyBenchmarks · auto · regular · ranks: 1