A trust-region algorithm with adaptive stochastic collocation for PDE optimization under uncertainty
The numerical solution of optimization problems governed by partial differential equations
(PDEs) with random coefficients is computationally challenging because of the large number …
(PDEs) with random coefficients is computationally challenging because of the large number …
Albany/FELIX: a parallel, scalable and robust, finite element, first-order Stokes approximation ice sheet solver built for advanced analysis
This paper describes a new parallel, scalable and robust finite element based solver for the
first-order Stokes momentum balance equations for ice flow. The solver, known as …
first-order Stokes momentum balance equations for ice flow. The solver, known as …
Differential forms in lattice field theories: An overview
FL Teixeira - International Scholarly Research Notices, 2013 - Wiley Online Library
Differential Forms in Lattice Field Theories: An Overview - Teixeira - 2013 - International Scholarly
Research Notices - Wiley Online Library Skip to Article Content Skip to Article Information …
Research Notices - Wiley Online Library Skip to Article Content Skip to Article Information …
EMPIRE-PIC: a performance portable unstructured particle-in-cell code
MT Bettencourt, DAS Brown, KL Cartwright… - Communications in …, 2021 - osti.gov
In this study we introduce EMPIRE-PIC, a finite element method particle-in-cell (FEM-PIC)
application developed at Sandia National Laboratories. The code has been developed in …
application developed at Sandia National Laboratories. The code has been developed in …
Albany: using component-based design to develop a flexible, generic multiphysics analysis code
AG Salinger, RA Bartlett, AM Bradley… - International Journal …, 2016 - dl.begellhouse.com
Albany is a multiphysics code constructed by assembling a set of reusable, general
components. It is an implicit, unstructured grid finite element code that hosts a set of …
components. It is an implicit, unstructured grid finite element code that hosts a set of …
Inexact objective function evaluations in a trust-region algorithm for PDE-constrained optimization under uncertainty
This paper improves the trust-region algorithm with adaptive sparse grids introduced in
[SIAM J. Sci. Comput., 35 (2013), pp. A1847--A1879] for the solution of optimization …
[SIAM J. Sci. Comput., 35 (2013), pp. A1847--A1879] for the solution of optimization …
A general approach to transforming finite elements
RC Kirby - The SMAI journal of computational mathematics, 2018 - numdam.org
The use of a reference element on which a finite element basis is constructed once and
mapped to each cell in a mesh greatly expedites the structure and efficiency of finite element …
mapped to each cell in a mesh greatly expedites the structure and efficiency of finite element …
Toward performance portability of the Albany finite element analysis code using the Kokkos library
Performance portability on heterogeneous high-performance computing (HPC) systems is a
major challenge faced today by code developers: parallel code needs to be executed …
major challenge faced today by code developers: parallel code needs to be executed …
IMEX and exact sequence discretization of the multi-fluid plasma model
Multi-fluid plasma models, where an electron fluid is modeled in addition to multiple ion and
neutral species as well as the full set of Maxwell's equations, are useful for representing …
neutral species as well as the full set of Maxwell's equations, are useful for representing …
Automating embedded analysis capabilities and managing software complexity in multiphysics simulation, Part II: Application to partial differential equations
A template‐based generic programming approach was presented in Part I of this series of
papers [Sci. Program. 20 (2012), 197–219] that separates the development effort of …
papers [Sci. Program. 20 (2012), 197–219] that separates the development effort of …