Variational

Published configurations

Finite element spaces, fields, and variational problems.

\[ \text{Find} \quad u \in U \quad \text{ s.t. } \quad \forall v \in V \quad a(u, v) = b(v) \ , \]

H1 and P1 define finite element spaces, while GridFunction evaluates and interpolates discrete fields. TrialFunction, TestFunction, and Problem express weak forms, boundary conditions, and the algebraic problems used to solve PDEs.

Benchmarks

CoefficientEvaluation

Generic coefficient evaluation inside weighted assembly.

1 benchmark

FieldContraction

Separates field coefficient lookup from reference-gradient contraction.

1 benchmark

FieldDerivative

Public grid-function differential evaluation across binding protocols.

1 benchmark

FieldOperations

Interpolation, point evaluation and L2 projection feature measurements.

1 benchmark

Forms

Named mass and diffusion forms compared with equivalent integrals.

1 benchmark

GridFunction

Finite-element fields.

2 benchmarks

H1

High-order H1 operations.

7 benchmarks

Integrators

Finite-element integrator kernels and their assembly consumers.

1 benchmark

Mult

Public scalar-weighted basis production benchmark entry point.

1 benchmark

NamedFormEvaluation

Existing relative Frobenius budget for the assembled operator oracle.

1 benchmark

NamedMassKernel

Named mass-kernel lifecycle and within-assembly reference reuse.

1 benchmark

P1

P1 finite element benchmark coverage

2 benchmarks

PhysicalGradient

Reference-to-physical derivative preparation through H1 expressions.

1 benchmark

Problem

Problem lifecycle.

1 benchmark

QuadratureBinding

Local binding of the operator terms consumed by coupled assembly.

1 benchmark

QuadratureExpressions

Expression binding with prepared quadrature compared with original loops.

1 benchmark

RankOneJacobian

Specialized rank-one Jacobian assembly compared with generic dispatch.

1 benchmark

ReferenceElement

Isolates scalar reference-element dispatch, evaluation and tabulation.

1 benchmark

StokesBinding

Isolates the three local operator kernels consumed by mixed Stokes assembly.

1 benchmark