Automation of DG and CPG Galerkin-in-time schemes in Irksome with support for auxiliary variables, flexible quadrature, and monolithic solvers.
Computers & Mathematics with Applications 81 (Jan
5 Pith papers cite this work, alongside 10 external citations. Polarity classification is still indexing.
representative citing papers
Data-driven surrogates are used to accelerate hybrid vertical equilibrium models by predicting plume distances, mobilities, and coupling interfaces, yielding faster runtimes than traditional simulations with negligible errors and preserved mass conservation.
Domain-of-dependence stabilization for cut-cell meshes achieves fully discrete stability for linear advection under a CFL condition independent of arbitrarily small cell sizes.
Converting an 800k-line C++ mathematical library to C++20 modules is feasible with moderate effort and yields compile-time savings inside the library but no clear trend for downstream users.
Derives a quadratic approximation to the Canham-Helfrich energy for small graph deformations of tube-like surfaces, proves well-posedness of the Euler-Lagrange equations, and shows numerical examples.
citing papers explorer
-
Automated Galerkin time stepping in Irksome
Automation of DG and CPG Galerkin-in-time schemes in Irksome with support for auxiliary variables, flexible quadrature, and monolithic solvers.
-
Augmenting a pure and hybrid vertical equilibrium scheme via data-driven surrogate modelling
Data-driven surrogates are used to accelerate hybrid vertical equilibrium models by predicting plume distances, mobilities, and coupling interfaces, yielding faster runtimes than traditional simulations with negligible errors and preserved mass conservation.
-
The domain-of-dependence stabilization for cut-cell meshes is fully discretely stable
Domain-of-dependence stabilization for cut-cell meshes achieves fully discrete stability for linear advection under a CFL condition independent of arbitrarily small cell sizes.
-
Experience converting a large mathematical software package written in C++ to C++20 modules
Converting an 800k-line C++ mathematical library to C++20 modules is feasible with moderate effort and yields compile-time savings inside the library but no clear trend for downstream users.
-
Small deformations of a near cylindrical tube for the Canham-Helfrich Energy with applications to biological membranes
Derives a quadratic approximation to the Canham-Helfrich energy for small graph deformations of tube-like surfaces, proves well-posedness of the Euler-Lagrange equations, and shows numerical examples.