Robert C. Kirby

Affiliations:
  • Baylor University, Department of Mathematics, Waco, TX, USA
  • Texas Tech University, Lubbock, TX, USA
  • University of Chicago, IL, USA
  • University of Texas at Austin, TX, USA (PhD 2000)


According to our database1, Robert C. Kirby authored at least 51 papers between 1999 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Extending Irksome: improvements in automated Runge-Kutta time stepping for finite element methods.
CoRR, 2024

2023
Integral equation methods for the Morse-Ingard equations.
J. Comput. Phys., November, 2023

Weighted-Norm Preconditioners for a Multilayer Tide Model.
SIAM J. Sci. Comput., August, 2023

Additive Schwarz Methods for Serendipity Elements.
SIAM J. Sci. Comput., June, 2023

High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities.
CoRR, 2023

Planar Curve Registration using Bayesian Inversion.
CoRR, 2023

On the convergence of monolithic multigrid for implicit Runge-Kutta time stepping of finite element problems.
CoRR, 2023

2022
Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake.
ACM Trans. Math. Softw., 2022

Bounds-constrained polynomial approximation using the Bernstein basis.
Numerische Mathematik, 2022

Exact domain truncation for the Morse-Ingard equations.
CoRR, 2022

Weighted-norm preconditioners for a multi-layer tide model.
CoRR, 2022

2021
Irksome: Automating Runge-Kutta Time-stepping for Finite Element Methods.
ACM Trans. Math. Softw., 2021

Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition.
SIAM J. Sci. Comput., 2021

Structured Inversion of the Bernstein-Vandermonde Matrix.
SIAM J. Matrix Anal. Appl., 2021

Transformations for Piola-mapped elements.
CoRR, 2021

Full waveform inversion using triangular waveform adapted meshes.
CoRR, 2021

Preconditioning mixed finite elements for tide models.
Comput. Math. Appl., 2021

2020
Structured Inversion of the Bernstein Mass Matrix.
SIAM J. Matrix Anal. Appl., 2020

Optimal-order preconditioners for the Morse-Ingard equations.
Comput. Math. Appl., 2020

2019
Code Generation for Generally Mapped Finite Elements.
ACM Trans. Math. Softw., 2019

2018
Solver Composition Across the PDE/Linear Algebra Barrier.
SIAM J. Sci. Comput., 2018

Mixed finite elements for global tide models with nonlinear damping.
Numerische Mathematik, 2018

2017
Fast inversion of the simplicial Bernstein mass matrix.
Numerische Mathematik, 2017

Exposing and exploiting structure: optimal code generation for high-order finite element methods.
CoRR, 2017

2016
Mixed finite elements for global tide models.
Numerische Mathematik, 2016

2015
Symplectic-mixed finite element approximation of linear acoustic wave equations.
Numerische Mathematik, 2015

Finite element approximation and preconditioners for a coupled thermal-acoustic model.
Comput. Math. Appl., 2015

2014
High-Performance Evaluation of Finite Element Variational Forms via Commuting Diagrams and Duality.
ACM Trans. Math. Softw., 2014

Low-Complexity Finite Element Algorithms for the de Rham Complex on Simplices.
SIAM J. Sci. Comput., 2014

2013
Block Preconditioners for Coupled Physics Problems.
SIAM J. Sci. Comput., 2013

2012
Playa: High-performance programmable linear algebra.
Sci. Program., 2012

Solving PDEs with Intrepid.
Sci. Program., 2012

Fast simplicial quadrature-based finite element operators using Bernstein polynomials.
Numerische Mathematik, 2012

Block preconditioners for finite element discretization of incompressible flow with thermal convection.
Numer. Linear Algebra Appl., 2012

2011
Fast simplicial finite element algorithms using Bernstein polynomials.
Numerische Mathematik, 2011

2010
Singularity-free evaluation of collapsed-coordinate orthogonal polynomials.
ACM Trans. Math. Softw., 2010

Unified Embedded Parallel Finite Element Computations via Software-Based Fr[e-acute]chet Differentiation.
SIAM J. Sci. Comput., 2010

From Functional Analysis to Iterative Methods.
SIAM Rev., 2010

2009
Efficient Assembly of $H(\mathrmdiv) and H(\mathrmcurl)$ Conforming Finite Elements.
SIAM J. Sci. Comput., 2009

2008
Benchmarking Domain-Specific Compiler Optimizations for Variational Forms.
ACM Trans. Math. Softw., 2008

2007
Efficient compilation of a class of variational forms.
ACM Trans. Math. Softw., 2007

Geometric Optimization of the Evaluation of Finite Element Matrices.
SIAM J. Sci. Comput., 2007

2006
A compiler for variational forms.
ACM Trans. Math. Softw., 2006

Optimizing FIAT with level 3 BLAS.
ACM Trans. Math. Softw., 2006

Topological Optimization of the Evaluation of Finite Element Matrices.
SIAM J. Sci. Comput., 2006

2005
Optimizing the Evaluation of Finite Element Matrices.
SIAM J. Sci. Comput., 2005

2004
Algorithm 839: FIAT, a new paradigm for computing finite element basis functions.
ACM Trans. Math. Softw., 2004

2003
On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws.
Math. Comput., 2003

A new look at expression templates for matrix computation.
Comput. Sci. Eng., 2003

2001
High Resolution Schemes for Conservation Laws with Locally Varying Time Steps.
SIAM J. Sci. Comput., 2001

1999
Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh.
SIAM J. Numer. Anal., 1999


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