Author

Alberto F. Martín

2 papers indexed here

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Preprint Sep 2026

GridapGeosciences.jl: A Julia finite element package for partial differential equations on general manifolds

We present GridapGeosciences$.$jl, a new parallel distributed-memory Julia package for the numerical approximation of partial differential equations on general manifolds. Our abstract approach to generating discrete manifold domains relies on mesh refinement in general, and is implemented within the Gridap finite eleme...

Tamara A. Tambyah, Alberto F. Martín, David Lee et al. · 1 citation

Preprint Sep 2026

An intrinsic finite element framework for scalar- and vector-valued partial differential equations on general manifolds

We present an intrinsic finite element framework for the numerical approximation of scalar- and vector-valued partial differential equations on general manifolds described by atlases of charts. Weak formulations and their discretisation are expressed exclusively in the flat parametric space of the manifold, where the e...

Tamara A. Tambyah, Alberto F. Martín, David Lee et al. · 1 citation