Robert C. Kirby

75 papers Journal 75

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	FIAT: Enabling Classical and Modern Macroelements. ACM Trans. Math. Softw. Pablo D. Brubeck, Robert C. Kirby
2025	J	`jnl`	Automated Runge-Kutta-Nyström time stepping for finite element methods in Irksome. CoRR Robert C. Kirby, Scott P. MacLachlan, Pablo D. Brubeck
2025	J	`jnl`	Bounds-constrained finite element approximation of time-dependent partial differential equations. CoRR Robert C. Kirby, John D. Stephens
2025	J	`jnl`	Extending Irksome: Improvements in Automated Runge-Kutta Time Stepping for Finite Element Methods. ACM Trans. Math. Softw. Robert C. Kirby, Scott P. MacLachlan
2025	J	`jnl`	FIAT: Improving Performance and Accuracy for High-Order Finite Elements. ACM Trans. Math. Softw. Pablo D. Brubeck, Robert C. Kirby, Fabian Laakmann, Lawrence Mitchell
2025	J	`jnl`	FIAT: enabling classical and modern macroelements. CoRR Pablo D. Brubeck, Robert C. Kirby
2025	J	`jnl`	Fast solvers for the high-order FEM simplicial de Rham complex. CoRR Pablo D. Brubeck, Patrick E. Farrell, Robert C. Kirby, Charles Parker
2024	J	`jnl`	Exact domain truncation for the Morse-ingard equations. Comput. Math. Appl. Robert C. Kirby, Xiaoyu Wei, Andreas Klöckner
2024	J	`jnl`	Extending Irksome: improvements in automated Runge-Kutta time stepping for finite element methods. CoRR Robert C. Kirby, Scott P. MacLachlan
2024	J	`jnl`	FIAT: improving performance and accuracy for high-order finite elements. CoRR Pablo D. Brubeck, Robert C. Kirby, Fabian Laakmann, Lawrence Mitchell
2024	J	`jnl`	High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities. Numerische Mathematik Robert C. Kirby, Daniel Shapero
2024	J	`jnl`	On the Convergence of Monolithic Multigrid for Implicit Runge-Kutta Time Stepping of Finite Element Problems. SIAM J. Sci. Comput. Robert C. Kirby
2024	J	`jnl`	Planar curve registration using Bayesian inversion. Comput. Math. Appl. Andreas A. Bock, Colin J. Cotter, Robert C. Kirby
2023	J	`jnl`	Additive Schwarz Methods for Serendipity Elements. SIAM J. Sci. Comput. Jorge Marchena-Menendez, Robert C. Kirby
2023	J	`jnl`	High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities. CoRR Robert C. Kirby, Daniel Shapero
2023	J	`jnl`	Integral equation methods for the Morse-Ingard equations. J. Comput. Phys. Xiaoyu Wei, Andreas Klöckner, Robert C. Kirby
2023	J	`jnl`	On the convergence of monolithic multigrid for implicit Runge-Kutta time stepping of finite element problems. CoRR Robert C. Kirby
2023	J	`jnl`	Planar Curve Registration using Bayesian Inversion. CoRR Andreas A. Bock, Colin J. Cotter, Robert C. Kirby
2023	J	`jnl`	Weighted-Norm Preconditioners for a Multilayer Tide Model. SIAM J. Sci. Comput. Colin J. Cotter, Robert C. Kirby, Hunter Morris
2022	J	`jnl`	Bounds-constrained polynomial approximation using the Bernstein basis. Numerische Mathematik Larry Allen, Robert C. Kirby
2022	J	`jnl`	Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake. ACM Trans. Math. Softw. Justin Crum, Cyrus Cheng, David A. Ham, Lawrence Mitchell, Robert C. Kirby, Joshua A. Levine, Andrew Gillette
2022	J	`jnl`	Exact domain truncation for the Morse-Ingard equations. CoRR Robert C. Kirby, Xiaoyu Wei, Andreas Klöckner
2022	J	`jnl`	Integral Equation Methods for the Morse-Ingard Equations. CoRR Xiaoyu Wei, Andreas Klöckner, Robert C. Kirby
2022	J	`jnl`	Weighted-norm preconditioners for a multi-layer tide model. CoRR Colin J. Cotter, Robert C. Kirby, Hunter Morris
2021	J	`jnl`	Additive Schwarz methods for serendipity elements. CoRR Jorge Marchena-Menendez, Robert C. Kirby
2021	J	`jnl`	Bounds-constrained polynomial approximation using the Bernstein basis. CoRR Larry Allen, Robert C. Kirby
2021	J	`jnl`	Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake. CoRR Justin Crum, Cyrus Cheng, David A. Ham, Lawrence Mitchell, Robert C. Kirby, Joshua A. Levine, Andrew Gillette
2021	J	`jnl`	Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition. SIAM J. Sci. Comput. Robert C. Kirby, Andreas Klöckner, Ben Sepanski
2021	J	`jnl`	Full waveform inversion using triangular waveform adapted meshes. CoRR Keith J. Roberts, Alexandre Olender, Lucas Franceschini, Robert C. Kirby, Rafael dos Santos Gioria, Bruno S. Carmo
2021	J	`jnl`	Irksome: Automating Runge-Kutta Time-stepping for Finite Element Methods. ACM Trans. Math. Softw. Patrick E. Farrell, Robert C. Kirby, Jorge Marchena-Menendez
2021	J	`jnl`	Preconditioning mixed finite elements for tide models. Comput. Math. Appl. Robert C. Kirby, Tate Kernell
2021	J	`jnl`	Structured Inversion of the Bernstein-Vandermonde Matrix. SIAM J. Matrix Anal. Appl. Larry Allen, Robert C. Kirby
2021	J	`jnl`	Transformations for Piola-mapped elements. CoRR Francis Aznaran, Robert C. Kirby, Patrick E. Farrell
2020	J	`jnl`	Finite elements for Helmholtz equations with a nonlocal boundary condition. CoRR Robert C. Kirby, Andreas Klöckner, Ben Sepanski
2020	J	`jnl`	Irksome: Automating Runge-Kutta time-stepping for finite element methods. CoRR Patrick E. Farrell, Robert C. Kirby, Jorge Marchena-Menendez
2020	J	`jnl`	Optimal-order preconditioners for the Morse-Ingard equations. Comput. Math. Appl. Robert C. Kirby, Peter Coogan
2020	J	`jnl`	Preconditioning mixed finite elements for tide models. CoRR Tate Kernell, Robert C. Kirby
2020	J	`jnl`	Structured Inversion of the Bernstein Mass Matrix. SIAM J. Matrix Anal. Appl. Larry Allen, Robert C. Kirby
2020	J	`jnl`	Structured inversion of the Bernstein-Vandermonde Matrix. CoRR Larry Allen, Robert C. Kirby
2019	J	`jnl`	Code Generation for Generally Mapped Finite Elements. ACM Trans. Math. Softw. Robert C. Kirby, Lawrence Mitchell
2019	J	`jnl`	Optimal-order preconditioners for the Morse-Ingard equations. CoRR Peter Coogan, Robert C. Kirby
2019	J	`jnl`	Structured inversion of the Bernstein mass matrix. CoRR Larry Allen, Robert C. Kirby
2018	J	`jnl`	Code generation for generally mapped finite elements. CoRR Robert C. Kirby, Lawrence Mitchell
2018	J	`jnl`	Mixed finite elements for global tide models with nonlinear damping. Numerische Mathematik Colin J. Cotter, P. Jameson Graber, Robert C. Kirby
2018	J	`jnl`	Solver Composition Across the PDE/Linear Algebra Barrier. SIAM J. Sci. Comput. Robert C. Kirby, Lawrence Mitchell
2017	J	`jnl`	Exposing and exploiting structure: optimal code generation for high-order finite element methods. CoRR Miklós Homolya, Robert C. Kirby, David A. Ham
2017	J	`jnl`	Fast inversion of the simplicial Bernstein mass matrix. Numerische Mathematik Robert C. Kirby
2017	J	`jnl`	Solver composition across the PDE/linear algebra barrier. CoRR Robert C. Kirby, Lawrence Mitchell
2016	J	`jnl`	Mixed finite elements for global tide models. Numerische Mathematik Colin J. Cotter, Robert C. Kirby
2015	J	`jnl`	Finite element approximation and preconditioners for a coupled thermal-acoustic model. Comput. Math. Appl. Brian Brennan, Robert C. Kirby
2015	J	`jnl`	Symplectic-mixed finite element approximation of linear acoustic wave equations. Numerische Mathematik Robert C. Kirby, Thinh Tri Kieu
2014	J	`jnl`	High-Performance Evaluation of Finite Element Variational Forms via Commuting Diagrams and Duality. ACM Trans. Math. Softw. Robert C. Kirby
2014	J	`jnl`	Low-Complexity Finite Element Algorithms for the de Rham Complex on Simplices. SIAM J. Sci. Comput. Robert C. Kirby
2013	J	`jnl`	Block Preconditioners for Coupled Physics Problems. SIAM J. Sci. Comput. Victoria E. Howle, Robert C. Kirby, Geoffrey Dillon
2012	J	`jnl`	Block preconditioners for finite element discretization of incompressible flow with thermal convection. Numer. Linear Algebra Appl. Victoria E. Howle, Robert C. Kirby
2012	J	`jnl`	Fast simplicial quadrature-based finite element operators using Bernstein polynomials. Numerische Mathematik Robert C. Kirby, Thinh Tri Kieu
2012	J	`jnl`	Playa: High-performance programmable linear algebra. Sci. Program. Victoria E. Howle, Robert C. Kirby, Kevin Long, Brian Brennan, Kimberly Kennedy
2012	J	`jnl`	Solving PDEs with Intrepid. Sci. Program. Pavel B. Bochev, H. Carter Edwards, Robert C. Kirby, Kara Peterson, Denis Ridzal
2011	J	`jnl`	Fast simplicial finite element algorithms using Bernstein polynomials. Numerische Mathematik Robert C. Kirby
2010	J	`jnl`	From Functional Analysis to Iterative Methods. SIAM Rev. Robert C. Kirby
2010	J	`jnl`	Singularity-free evaluation of collapsed-coordinate orthogonal polynomials. ACM Trans. Math. Softw. Robert C. Kirby
2010	J	`jnl`	Unified Embedded Parallel Finite Element Computations via Software-Based Fr[e-acute]chet Differentiation. SIAM J. Sci. Comput. Kevin R. Long, Robert C. Kirby, Bart G. van Bloemen Waanders
2009	J	`jnl`	Efficient Assembly of $H(\mathrmdiv) and H(\mathrmcurl)$ Conforming Finite Elements. SIAM J. Sci. Comput. Marie E. Rognes, Robert C. Kirby, Anders Logg
2008	J	`jnl`	Benchmarking Domain-Specific Compiler Optimizations for Variational Forms. ACM Trans. Math. Softw. Robert C. Kirby, Anders Logg
2007	J	`jnl`	Efficient compilation of a class of variational forms. ACM Trans. Math. Softw. Robert C. Kirby, Anders Logg
2007	J	`jnl`	Geometric Optimization of the Evaluation of Finite Element Matrices. SIAM J. Sci. Comput. Robert C. Kirby, L. Ridgway Scott
2006	J	`jnl`	A compiler for variational forms. ACM Trans. Math. Softw. Robert C. Kirby, Anders Logg
2006	J	`jnl`	Optimizing FIAT with level 3 BLAS. ACM Trans. Math. Softw. Robert C. Kirby
2006	J	`jnl`	Topological Optimization of the Evaluation of Finite Element Matrices. SIAM J. Sci. Comput. Robert C. Kirby, Anders Logg, L. Ridgway Scott, Andy R. Terrel
2005	J	`jnl`	Optimizing the Evaluation of Finite Element Matrices. SIAM J. Sci. Comput. Robert C. Kirby, Matthew G. Knepley, Anders Logg, L. Ridgway Scott
2004	J	`jnl`	Algorithm 839: FIAT, a new paradigm for computing finite element basis functions. ACM Trans. Math. Softw. Robert C. Kirby
2003	J	`jnl`	A new look at expression templates for matrix computation. Comput. Sci. Eng. Robert C. Kirby
2003	J	`jnl`	On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws. Math. Comput. Robert C. Kirby
2001	J	`jnl`	High Resolution Schemes for Conservation Laws with Locally Varying Time Steps. SIAM J. Sci. Comput. Clint Dawson, Robert C. Kirby
1999	J	`jnl`	Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh. SIAM J. Numer. Anal. Clint Dawson, Robert C. Kirby