Robert C. Kirby

Daniel Shapero

Numerische Mathematik, June, 2024

On the Convergence of Monolithic Multigrid for Implicit Runge-Kutta Time Stepping of Finite Element Problems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2024

FIAT: improving performance and accuracy for high-order finite elements.

[BibT_eX]

[DOI]

CoRR, 2024

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

[BibT_eX]

[DOI]

Scott P. MacLachlan

CoRR, 2024

Exact domain truncation for the Morse-ingard equations.

[BibT_eX]

[DOI]

Xiaoyu Wei

Andreas Klöckner

Comput. Math. Appl., 2024

Planar curve registration using Bayesian inversion.

[BibT_eX]

[DOI]

Andreas Bock

Comput. Math. Appl., 2024

2023

Integral equation methods for the Morse-Ingard equations.

[BibT_eX]

[DOI]

Xiaoyu Wei

Andreas Klöckner

J. Comput. Phys., November, 2023

Weighted-Norm Preconditioners for a Multilayer Tide Model.

[BibT_eX]

[DOI]

Hunter Morris

SIAM J. Sci. Comput., August, 2023

Additive Schwarz Methods for Serendipity Elements.

[BibT_eX]

[DOI]

Jorge Marchena-Menendez

SIAM J. Sci. Comput., June, 2023

2022

Bringing Trimmed Serendipity Methods to Computational Practice in Firedrake.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2022

Bounds-constrained polynomial approximation using the Bernstein basis.

[BibT_eX]

[DOI]

Larry Allen

Numerische Mathematik, 2022

Weighted-norm preconditioners for a multi-layer tide model.

[BibT_eX]

[DOI]

Hunter Morris

CoRR, 2022

2021

Irksome: Automating Runge-Kutta Time-stepping for Finite Element Methods.

[BibT_eX]

[DOI]

Patrick E. Farrell

Jorge Marchena-Menendez

ACM Trans. Math. Softw., 2021

Finite Elements for Helmholtz Equations with a Nonlocal Boundary Condition.

[BibT_eX]

[DOI]

Andreas Klöckner

Ben Sepanski

SIAM J. Sci. Comput., 2021

Structured Inversion of the Bernstein-Vandermonde Matrix.

[BibT_eX]

[DOI]

Larry Allen

SIAM J. Matrix Anal. Appl., 2021

Transformations for Piola-mapped elements.

[BibT_eX]

[DOI]

Francis Aznaran

Patrick E. Farrell

CoRR, 2021

Full waveform inversion using triangular waveform adapted meshes.

[BibT_eX]

[DOI]

Rafael dos Santos Gioria

Bruno S. Carmo

CoRR, 2021

Preconditioning mixed finite elements for tide models.

[BibT_eX]

[DOI]

Tate Kernell

Comput. Math. Appl., 2021

2020

Structured Inversion of the Bernstein Mass Matrix.

[BibT_eX]

[DOI]

Larry Allen

SIAM J. Matrix Anal. Appl., 2020

Optimal-order preconditioners for the Morse-Ingard equations.

[BibT_eX]

[DOI]

Peter Coogan

Comput. Math. Appl., 2020

2019

Code Generation for Generally Mapped Finite Elements.

[BibT_eX]

[DOI]

Lawrence Mitchell

ACM Trans. Math. Softw., 2019

2018

Solver Composition Across the PDE/Linear Algebra Barrier.

[BibT_eX]

[DOI]

Lawrence Mitchell

SIAM J. Sci. Comput., 2018

Mixed finite elements for global tide models with nonlinear damping.

[BibT_eX]

[DOI]

P. Jameson Graber

Numerische Mathematik, 2018

2017

Fast inversion of the simplicial Bernstein mass matrix.

[BibT_eX]

[DOI]

Numerische Mathematik, 2017

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

[BibT_eX]

[DOI]

Miklós Homolya

David A. Ham

CoRR, 2017

2016

Mixed finite elements for global tide models.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

2015

Symplectic-mixed finite element approximation of linear acoustic wave equations.

[BibT_eX]

[DOI]

Thinh Tri Kieu

Numerische Mathematik, 2015

Finite element approximation and preconditioners for a coupled thermal-acoustic model.

[BibT_eX]

[DOI]

Brian Brennan

Comput. Math. Appl., 2015

2014

High-Performance Evaluation of Finite Element Variational Forms via Commuting Diagrams and Duality.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2014

Low-Complexity Finite Element Algorithms for the de Rham Complex on Simplices.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2014

2013

Block Preconditioners for Coupled Physics Problems.

[BibT_eX]

[DOI]

Victoria E. Howle

Geoffrey Dillon

SIAM J. Sci. Comput., 2013

2012

Playa: High-performance programmable linear algebra.

[BibT_eX]

[DOI]

Sci. Program., 2012

Solving PDEs with Intrepid.

[BibT_eX]

[DOI]

Sci. Program., 2012

Fast simplicial quadrature-based finite element operators using Bernstein polynomials.

[BibT_eX]

[DOI]

Thinh Tri Kieu

Numerische Mathematik, 2012

Block preconditioners for finite element discretization of incompressible flow with thermal convection.

[BibT_eX]

[DOI]

Victoria E. Howle

Numer. Linear Algebra Appl., 2012

2011

Fast simplicial finite element algorithms using Bernstein polynomials.

[BibT_eX]

[DOI]

Numerische Mathematik, 2011

2010

Singularity-free evaluation of collapsed-coordinate orthogonal polynomials.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2010

Unified Embedded Parallel Finite Element Computations via Software-Based Fr[e-acute]chet Differentiation.

[BibT_eX]

[DOI]

Kevin R. Long

Bart G. van Bloemen Waanders

SIAM J. Sci. Comput., 2010

From Functional Analysis to Iterative Methods.

[BibT_eX]

[DOI]

SIAM Rev., 2010

2009

Efficient Assembly of $H(\mathrmdiv) and H(\mathrmcurl)$ Conforming Finite Elements.

[BibT_eX]

[DOI]

Marie E. Rognes

SIAM J. Sci. Comput., 2009

2008

Benchmarking Domain-Specific Compiler Optimizations for Variational Forms.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2008

2007

Efficient compilation of a class of variational forms.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2007

Geometric Optimization of the Evaluation of Finite Element Matrices.

[BibT_eX]

[DOI]

L. Ridgway Scott

SIAM J. Sci. Comput., 2007

2006

A compiler for variational forms.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2006

Optimizing FIAT with level 3 BLAS.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2006

Topological Optimization of the Evaluation of Finite Element Matrices.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2006

2005

Optimizing the Evaluation of Finite Element Matrices.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2005

2004

Algorithm 839: FIAT, a new paradigm for computing finite element basis functions.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2004

2003

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

[BibT_eX]

[DOI]

Math. Comput., 2003

A new look at expression templates for matrix computation.

[BibT_eX]

[DOI]

Comput. Sci. Eng., 2003

2001

High Resolution Schemes for Conservation Laws with Locally Varying Time Steps.

[BibT_eX]

[DOI]

Clint Dawson

SIAM J. Sci. Comput., 2001

1999

Solution of Parabolic Equations by Backward Euler-Mixed Finite Element Methods on a Dynamically Changing Mesh.

[BibT_eX]

[DOI]

Clint Dawson