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perf(jacobian-action): major updates to jacobian action application by removing redudant quadrature work. ~5x increase in speed

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Emily Boudreaux
2026-09-02 17:01:50 -04:00
parent 85500fef3b
commit 25510008dd
74 changed files with 8967 additions and 814 deletions
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28
libmeanfield/impl/mapping/transformations.cpp
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@@ -217,16 +217,22 @@ namespace mean_field::mapping {
);
MFEM_VERIFY(std::isfinite(determinant_variation), "The mapping determinant variation must be finite.");
mfem::DenseMatrix determinant_correction(dimension, dimension);
ComputeHDivMassTensor(context, determinant_correction);
determinant_correction *= determinant_variation / determinant;
const mfem::DenseMatrix &jacobian = context.mapping_jacobian;
const mfem::DenseMatrix &jacobianVariation = variation.mapping_jacobian_variation;
const double inverseDeterminant = 1.0 / determinant;
const double determinantScale = determinant_variation * inverseDeterminant;
mfem::DenseMatrix right_jacobian_variation(dimension, dimension);
mfem::MultAtB(context.mapping_jacobian, variation.mapping_jacobian_variation, right_jacobian_variation);
mfem::MultAtB(variation.mapping_jacobian_variation, context.mapping_jacobian, mass_tensor_variation);
mass_tensor_variation += right_jacobian_variation;
mass_tensor_variation *= 1 / determinant;
mass_tensor_variation -= determinant_correction;
for (int row = 0; row < dimension; ++row) {
for (int column = 0; column < dimension; ++column) {
double gram{0.0};
double gramVariation{0.0};
for (int inner = 0; inner < dimension; ++inner) {
gram += jacobian(inner, row) * jacobian(inner, column);
gramVariation += jacobian(inner, row) * jacobianVariation(inner, column) +
jacobianVariation(inner, row) * jacobian(inner, column);
}
mass_tensor_variation(row, column) = inverseDeterminant * (gramVariation - determinantScale * gram);
}
}
}
} // namespace mean_field::mapping
} // namespace mean_field::mapping