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Robert C. Kirby
Person information
- affiliation: Baylor University, Department of Mathematics, Waco, TX, USA
- affiliation: Texas Tech University, Lubbock, TX, USA
- affiliation: University of Chicago, IL, USA
- affiliation (PhD 2000): University of Texas at Austin, TX, USA
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Journal Articles
- 2024
- [j46]Andreas A. Bock
, Colin J. Cotter
Planar curve registration using Bayesian inversion. Comput. Math. Appl. 159: 155-172 (2024) - [j45]Robert C. Kirby
Exact domain truncation for the Morse-ingard equations. Comput. Math. Appl. 162: 22-32 (2024) - [j44]Robert C. Kirby, Daniel Shapero:
High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities. Numerische Mathematik 156(3): 927-947 (2024) - [j43]Robert C. Kirby:
On the Convergence of Monolithic Multigrid for Implicit Runge-Kutta Time Stepping of Finite Element Problems. SIAM J. Sci. Comput. 46(5): S22-S45 (2024) - 2023
- [j42]Xiaoyu Wei
Integral equation methods for the Morse-Ingard equations. J. Comput. Phys. 492: 112416 (2023) - [j41]Jorge Marchena-Menendez
Additive Schwarz Methods for Serendipity Elements. SIAM J. Sci. Comput. 45(3): S401-S420 (2023) - [j40]Colin J. Cotter
Weighted-Norm Preconditioners for a Multilayer Tide Model. SIAM J. Sci. Comput. 45(4) (2023) - 2022
- [j39]Larry Allen, Robert C. Kirby
Bounds-constrained polynomial approximation using the Bernstein basis. Numerische Mathematik 152(1): 101-126 (2022) - [j38]Justin Crum, Cyrus Cheng, David A. Ham, Lawrence Mitchell
Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake. ACM Trans. Math. Softw. 48(1): 8:1-8:19 (2022) - 2021
- [j37]Robert C. Kirby
Preconditioning mixed finite elements for tide models. Comput. Math. Appl. 82: 212-227 (2021) - [j36]Larry Allen, Robert C. Kirby
Structured Inversion of the Bernstein-Vandermonde Matrix. SIAM J. Matrix Anal. Appl. 42(2): 557-577 (2021) - [j35]Robert C. Kirby
Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition. SIAM J. Sci. Comput. 43(3): A1671-A1691 (2021) - [j34]Patrick E. Farrell, Robert C. Kirby
Irksome: Automating Runge-Kutta Time-stepping for Finite Element Methods. ACM Trans. Math. Softw. 47(4): 30:1-30:26 (2021) - 2020
- [j33]Robert C. Kirby
Optimal-order preconditioners for the Morse-Ingard equations. Comput. Math. Appl. 79(8): 2458-2471 (2020) - [j32]Larry Allen, Robert C. Kirby
Structured Inversion of the Bernstein Mass Matrix. SIAM J. Matrix Anal. Appl. 41(2): 413-431 (2020) - 2019
- [j31]Robert C. Kirby
Code Generation for Generally Mapped Finite Elements. ACM Trans. Math. Softw. 45(4): 41:1-41:23 (2019) - 2018
- [j30]Colin J. Cotter
Mixed finite elements for global tide models with nonlinear damping. Numerische Mathematik 140(4): 963-991 (2018) - [j29]Robert C. Kirby
Solver Composition Across the PDE/Linear Algebra Barrier. SIAM J. Sci. Comput. 40(1) (2018) - 2017
- [j28]Robert C. Kirby
Fast inversion of the simplicial Bernstein mass matrix. Numerische Mathematik 135(1): 73-95 (2017) - 2016
- [j27]Colin J. Cotter
Mixed finite elements for global tide models. Numerische Mathematik 133(2): 255-277 (2016) - 2015
- [j26]Brian Brennan, Robert C. Kirby
Finite element approximation and preconditioners for a coupled thermal-acoustic model. Comput. Math. Appl. 70(10): 2342-2354 (2015) - [j25]Robert C. Kirby
Symplectic-mixed finite element approximation of linear acoustic wave equations. Numerische Mathematik 130(2): 257-291 (2015) - 2014
- [j24]Robert C. Kirby
Low-Complexity Finite Element Algorithms for the de Rham Complex on Simplices. SIAM J. Sci. Comput. 36(2) (2014) - [j23]Robert C. Kirby
High-Performance Evaluation of Finite Element Variational Forms via Commuting Diagrams and Duality. ACM Trans. Math. Softw. 40(4): 25:1-25:24 (2014) - 2013
- [j22]Victoria E. Howle, Robert C. Kirby
Block Preconditioners for Coupled Physics Problems. SIAM J. Sci. Comput. 35(5) (2013) - 2012
- [j21]Victoria E. Howle, Robert C. Kirby
Block preconditioners for finite element discretization of incompressible flow with thermal convection. Numer. Linear Algebra Appl. 19(2): 427-440 (2012) - [j20]Robert C. Kirby
Fast simplicial quadrature-based finite element operators using Bernstein polynomials. Numerische Mathematik 121(2): 261-279 (2012) - [j19]Pavel B. Bochev, H. Carter Edwards, Robert C. Kirby
Solving PDEs with Intrepid. Sci. Program. 20(2): 151-180 (2012) - [j18]Victoria E. Howle, Robert C. Kirby
Playa: High-performance programmable linear algebra. Sci. Program. 20(3): 257-273 (2012) - 2011
- [j17]Robert C. Kirby
Fast simplicial finite element algorithms using Bernstein polynomials. Numerische Mathematik 117(4): 631-652 (2011) - 2010
- [j16]Robert C. Kirby
From Functional Analysis to Iterative Methods. SIAM Rev. 52(2): 269-293 (2010) - [j15]Kevin R. Long, Robert C. Kirby
Unified Embedded Parallel Finite Element Computations via Software-Based Fr[e-acute]chet Differentiation. SIAM J. Sci. Comput. 32(6): 3323-3351 (2010) - [j14]Robert C. Kirby
Singularity-free evaluation of collapsed-coordinate orthogonal polynomials. ACM Trans. Math. Softw. 37(1): 5:1-5:16 (2010) - 2009
- [j13]Marie E. Rognes
Efficient Assembly of $H(\mathrmdiv) and H(\mathrmcurl)$ Conforming Finite Elements. SIAM J. Sci. Comput. 31(6): 4130-4151 (2009) - 2008
- [j12]Robert C. Kirby
Benchmarking Domain-Specific Compiler Optimizations for Variational Forms. ACM Trans. Math. Softw. 35(2): 10:1-10:18 (2008) - 2007
- [j11]Robert C. Kirby
Geometric Optimization of the Evaluation of Finite Element Matrices. SIAM J. Sci. Comput. 29(2): 827-841 (2007) - [j10]Robert C. Kirby
Efficient compilation of a class of variational forms. ACM Trans. Math. Softw. 33(3): 17 (2007) - 2006
- [j9]Robert C. Kirby
Topological Optimization of the Evaluation of Finite Element Matrices. SIAM J. Sci. Comput. 28(1): 224-240 (2006) - [j8]Robert C. Kirby
Optimizing FIAT with level 3 BLAS. ACM Trans. Math. Softw. 32(2): 223-235 (2006) - [j7]Robert C. Kirby
A compiler for variational forms. ACM Trans. Math. Softw. 32(3): 417-444 (2006) - 2005
- [j6]Robert C. Kirby
Optimizing the Evaluation of Finite Element Matrices. SIAM J. Sci. Comput. 27(3): 741-758 (2005) - 2004
- [j5]Robert C. Kirby
Algorithm 839: FIAT, a new paradigm for computing finite element basis functions. ACM Trans. Math. Softw. 30(4): 502-516 (2004) - 2003
- [j4]Robert C. Kirby
A new look at expression templates for matrix computation. Comput. Sci. Eng. 5(3): 66-70 (2003) - [j3]Robert C. Kirby
On the convergence of high resolution methods with multiple time scales for hyperbolic conservation laws. Math. Comput. 72(243): 1239-1250 (2003) - 2001
- [j2]Clint Dawson
High Resolution Schemes for Conservation Laws with Locally Varying Time Steps. SIAM J. Sci. Comput. 22(6): 2256-2281 (2001) - 1999
- [j1]Clint Dawson
Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh. SIAM J. Numer. Anal. 37(2): 423-442 (1999)
Informal and Other Publications
- 2025
- [i25]Pablo D. Brubeck, Robert C. Kirby:
FIAT: enabling classical and modern macroelements. CoRR abs/2501.14599 (2025) - [i24]Pablo D. Brubeck, Patrick E. Farrell, Robert C. Kirby, Charles Parker:
Fast solvers for the high-order FEM simplicial de Rham complex. CoRR abs/2506.17406 (2025) - [i23]Robert C. Kirby, John D. Stephens:
Bounds-constrained finite element approximation of time-dependent partial differential equations. CoRR abs/2506.17464 (2025) - 2024
- [i22]Robert C. Kirby, Scott P. MacLachlan:
Extending Irksome: improvements in automated Runge-Kutta time stepping for finite element methods. CoRR abs/2403.08084 (2024) - [i21]Pablo D. Brubeck, Robert C. Kirby, Fabian Laakmann, Lawrence Mitchell:
FIAT: improving performance and accuracy for high-order finite elements. CoRR abs/2408.03565 (2024) - 2023
- [i20]Robert C. Kirby
On the convergence of monolithic multigrid for implicit Runge-Kutta time stepping of finite element problems. CoRR abs/2304.14879 (2023) - [i19]Andreas A. Bock, Colin J. Cotter, Robert C. Kirby:
Planar Curve Registration using Bayesian Inversion. CoRR abs/2307.04909 (2023) - [i18]Robert C. Kirby, Daniel Shapero:
High-order bounds-satisfying approximation of partial differential equations via finite element variational inequalities. CoRR abs/2311.05880 (2023) - 2022
- [i17]Colin J. Cotter, Robert C. Kirby, Hunter Morris:
Weighted-norm preconditioners for a multi-layer tide model. CoRR abs/2207.02116 (2022) - [i16]Xiaoyu Wei, Andreas Klöckner, Robert C. Kirby:
Integral Equation Methods for the Morse-Ingard Equations. CoRR abs/2210.12542 (2022) - [i15]Robert C. Kirby
Exact domain truncation for the Morse-Ingard equations. CoRR abs/2210.13765 (2022) - 2021
- [i14]Larry Allen, Robert C. Kirby:
Bounds-constrained polynomial approximation using the Bernstein basis. CoRR abs/2104.11819 (2021) - [i13]Jorge Marchena-Menendez, Robert C. Kirby:
Additive Schwarz methods for serendipity elements. CoRR abs/2104.11842 (2021) - [i12]Justin Crum, Cyrus Cheng, David A. Ham, Lawrence Mitchell, Robert C. Kirby, Joshua A. Levine, Andrew Gillette:
Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake. CoRR abs/2104.12986 (2021) - [i11]Keith J. Roberts, Alexandre Olender, Lucas Franceschini, Robert C. Kirby, Rafael dos Santos Gioria, Bruno S. Carmo:
Full waveform inversion using triangular waveform adapted meshes. CoRR abs/2108.10946 (2021) - [i10]Francis Aznaran, Robert C. Kirby, Patrick E. Farrell:
Transformations for Piola-mapped elements. CoRR abs/2110.13224 (2021) - 2020
- [i9]Tate Kernell, Robert C. Kirby:
Preconditioning mixed finite elements for tide models. CoRR abs/2003.01632 (2020) - [i8]Larry Allen, Robert C. Kirby:
Structured inversion of the Bernstein-Vandermonde Matrix. CoRR abs/2005.03251 (2020) - [i7]Patrick E. Farrell, Robert C. Kirby, Jorge Marchena-Menendez:
Irksome: Automating Runge-Kutta time-stepping for finite element methods. CoRR abs/2006.16282 (2020) - [i6]Robert C. Kirby, Andreas Klöckner, Ben Sepanski:
Finite elements for Helmholtz equations with a nonlocal boundary condition. CoRR abs/2009.08493 (2020) - 2019
- [i5]Larry Allen, Robert C. Kirby:
Structured inversion of the Bernstein mass matrix. CoRR abs/1907.05773 (2019) - [i4]Peter Coogan, Robert C. Kirby:
Optimal-order preconditioners for the Morse-Ingard equations. CoRR abs/1911.10247 (2019) - 2018
- [i3]Robert C. Kirby, Lawrence Mitchell:
Code generation for generally mapped finite elements. CoRR abs/1808.05513 (2018) - 2017
- [i2]Robert C. Kirby, Lawrence Mitchell:
Solver composition across the PDE/linear algebra barrier. CoRR abs/1706.01346 (2017) - [i1]Miklós Homolya, Robert C. Kirby, David A. Ham:
Exposing and exploiting structure: optimal code generation for high-order finite element methods. CoRR abs/1711.02473 (2017)
Coauthor Index
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