
Worked on the gridap/Gridap.jl repository to enhance second-order differentiation capabilities, focusing on Hessian calculus for sums, differences, and products of fields, including broadcast and lazy evaluation contexts. Implemented and validated new differentiation rules with rigorous test coverage, ensuring correctness for gradients and Hessians in both broadcast and non-broadcast scenarios. Improved numerical stability and reliability for field-based simulations and optimization workflows by fixing Hessian calculations and reorganizing test suites for maintainability. Utilized Julia and Markdown, applying skills in numerical analysis, automatic differentiation, and software testing to deliver robust, well-documented features that reduce regression risk and support advanced PDE simulations.
March 2025 monthly summary for gridap/Gridap.jl focused on enhancing Hessian-related reliability and test coverage. Delivered comprehensive tests for Hessian rules on the sum and product of two CellFields, including gradient, divergence, and Hessian evaluations at point and cell levels. Reorganized test suite to fix import dependencies, improving test stability and maintainability. Fixed Hessian calculations for sums/products of Fields or CellFields and updated NEWS.md to document the change (DiracDelta with Triangulation argument) and linked related PRs. Impact: increased numerical stability and correctness for Hessian-based workflows, enabling safer optimization and PDE simulations; reduced regression risk through stronger test coverage and clearer release notes. Technologies/skills demonstrated include Julia, Gridap.jl, test engineering, FESpaces tests organization, Hessian calculus, and release documentation.
March 2025 monthly summary for gridap/Gridap.jl focused on enhancing Hessian-related reliability and test coverage. Delivered comprehensive tests for Hessian rules on the sum and product of two CellFields, including gradient, divergence, and Hessian evaluations at point and cell levels. Reorganized test suite to fix import dependencies, improving test stability and maintainability. Fixed Hessian calculations for sums/products of Fields or CellFields and updated NEWS.md to document the change (DiracDelta with Triangulation argument) and linked related PRs. Impact: increased numerical stability and correctness for Hessian-based workflows, enabling safer optimization and PDE simulations; reduced regression risk through stronger test coverage and clearer release notes. Technologies/skills demonstrated include Julia, Gridap.jl, test engineering, FESpaces tests organization, Hessian calculus, and release documentation.
November 2024: Implemented Hessian calculus for sums, differences, and products of fields, including broadcast contexts. Added second-order differentiation rules with correct product-rule handling and support for lazy mapping in broadcast scenarios. Expanded test coverage to validate gradients and Hessians for complex field operations, across broadcast and non-broadcast paths. This work enhances second-order optimization, sensitivity analysis, and reliability of field-based simulations, delivering clear business value.
November 2024: Implemented Hessian calculus for sums, differences, and products of fields, including broadcast contexts. Added second-order differentiation rules with correct product-rule handling and support for lazy mapping in broadcast scenarios. Expanded test coverage to validate gradients and Hessians for complex field operations, across broadcast and non-broadcast paths. This work enhances second-order optimization, sensitivity analysis, and reliability of field-based simulations, delivering clear business value.

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