265 citations · 601 across the 26 of their papers we have counts for
4 papers · 1 filter
Efficient Assembly of H(div) and H(curl) Conforming Finite Elements
Marie Rognes, Robert C. Kirby, Anders Logg
In this paper, we discuss how to efficiently evaluate and assemble general finite element variational forms on H(div) and H(curl). The proposed strategy relies on a decomposition o…
Benchmarking Domain-Specific Compiler Optimizations for Variational Forms
Robert C. Kirby, Anders Logg
We examine the effect of using complexity-reducing relations to generate optimized code for the evaluation of finite element variational forms. The optimizations are implemented in…
Efficient Compilation of a Class of Variational Forms
Robert C. Kirby, Anders Logg
We investigate the compilation of general multilinear variational forms over affines simplices and prove a representation theorem for the representation of the element tensor (elem…
Optimizing the Evaluation of Finite Element Matrices
Robert C. Kirby, Matthew Knepley, Anders Logg +1
Assembling stiffness matrices represents a significant cost in many finite element computations. We address the question of optimizing the evaluation of these matrices. By finding…