Outputs (3)

Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations (2018)
Journal Article
Kärnä, T., Kramer, S. C., Mitchell, L., Ham, D. A., Piggott, M. D., & Baptista, A. M. (2018). Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations. Geoscientific Model Development, 11(11), 4359-4382. https://doi.org/10.5194/gmd-11-4359-2018

Unstructured grid ocean models are advantageous for simulating the coastal ocean and river–estuary–plume systems. However, unstructured grid models tend to be diffusive and/or computationally expensive, which limits their applicability to real-life p... Read More about Thetis coastal ocean model: discontinuous Galerkin discretization for the three-dimensional hydrostatic equations.

TSFC: A Structure-Preserving Form Compiler (2018)
Journal Article
Homolya, M., Mitchell, L., Luporini, F., & Ham, D. A. (2018). TSFC: A Structure-Preserving Form Compiler. SIAM Journal on Scientific Computing, 40(3), C401-C428. https://doi.org/10.1137/17m1130642

A form compiler takes a high-level description of the weak form of partial differential equations and produces low-level code that carries out the finite element assembly. In this paper we present the Two-Stage Form Compiler (TSFC), a new form compil... Read More about TSFC: A Structure-Preserving Form Compiler.

Solver Composition Across the PDE/Linear Algebra Barrier (2018)
Journal Article
Kirby, R. C., & Mitchell, L. (2018). Solver Composition Across the PDE/Linear Algebra Barrier. SIAM Journal on Scientific Computing, 40(1), C76-C98. https://doi.org/10.1137/17m1133208

The efficient solution of discretizations of coupled systems of partial differential equations (PDEs) is at the core of much of numerical simulation. Significant effort has been expended on scalable algorithms to precondition Krylov iterations for th... Read More about Solver Composition Across the PDE/Linear Algebra Barrier.