525 citations · 1.3k across the 23 of their papers we have counts for
3 papers · 1 filter
An iteration count estimate for a mesh-dependent steepest descent method based on finite elements and Riesz inner product representation
Tobias Schwedes, Simon W. Funke, David A. Ham
Existing implementations of gradient-based optimisation methods typically assume that the problem is posed in Euclidean space. When solving optimality problems on function spaces,…
An algorithm for the optimization of finite element integration loops
Fabio Luporini, David A. Ham, Paul H. J. Kelly
We present an algorithm for the optimization of a class of finite element integration loop nests. This algorithm, which exploits fundamental mathematical properties of finite eleme…
A structure-exploiting numbering algorithm for finite elements on extruded meshes, and its performance evaluation in Firedrake
Gheorghe-Teodor Bercea, Andrew T. T. McRae, David A. Ham +5
We present a generic algorithm for numbering and then efficiently iterating over the data values attached to an extruded mesh. An extruded mesh is formed by replicating an existing…