On Memory Traffic and Optimisations for Low-order Finite Element Assembly Algorithms on Multi-core CPUs

A study of vectorization for matrix-free finite element methods

(2020) Tianjiao Sun et al.   INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS

Scalability of high-performance PDE solvers

(2020) Paul Fischer et al.   INTERNATIONAL JOURNAL OF HIGH PERFORMANCE COMPUTING APPLICATIONS

Fast Matrix-Free Evaluation of Discontinuous Galerkin Finite Element Operators

(2019) Martin Kronbichler et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

TSFC: A Structure-Preserving Form Compiler

(2018) Miklós Homolya et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Firedrake

(2016) Florian Rathgeber et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Cross-Loop Optimization of Arithmetic Intensity for Finite Element Local Assembly

(2015) Fabio Luporini et al.   ACM Transactions on Architecture and Code Optimization

Incidence and Risk Factors of Ventricular Fibrillation Before Primary Angioplasty in Patients With First ST-Elevation Myocardial Infarction: A Nationwide Study in Denmark

(2015) R. Jabbari et al.   Journal of the American Heart Association

Fromhtopefficiently: optimal implementation strategies for explicit time-dependent problems using the spectral/hpelement method

(2014) A. Bolis et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Optimized code generation for finite element local assembly using symbolic manipulation

(2013) Francis P. Russell et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Finite Element Integration on GPUs

(2013) Matthew G. Knepley et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

Finite Element Algorithms and Data Structures on Graphical Processing Units

(2013) I. Z. Reguly et al.   INTERNATIONAL JOURNAL OF PARALLEL PROGRAMMING

Architecting the finite element method pipeline for the GPU

(2013) Zhisong Fu et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Cache-Oblivious Algorithms

(2012) Matteo Frigo et al.   ACM Transactions on Algorithms

A generic interface for parallel cell-based finite element operator application

(2012) Martin Kronbichler et al.   COMPUTERS & FLUIDS

Finite element assembly strategies on multi-core and many-core architectures

(2012) G. R. Markall et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

Optimizations for quadrature representations of finite element tensors through automated code generation

(2010) Kristian B. Ølgaard et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

On the efficiency of symbolic computations combined with code generation for finite element methods

(2010) Martin Sandve Alnæs et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE

From h to p efficiently: Strategy selection for operator evaluation on hexahedral and tetrahedral elements

(2010) C.D. Cantwell et al.   COMPUTERS & FLUIDS

Binary Mesh Partitioning for Cache-Efficient Visualization

(2010) Marc Tchiboukdjian et al.   IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS

Assembly of finite element methods on graphics processors

(2010) Cris Cecka et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

From h to p efficiently: Implementing finite and spectral/hp element methods to achieve optimal performance for low- and high-order discretisations

(2010) Peter E.J. Vos et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Efficient Nonlinear Solvers for Nodal High-Order Finite Elements in 3D

(2010) Jed Brown   JOURNAL OF SCIENTIFIC COMPUTING

Efficient Assembly of $H(\mathrm{div})$ and $H(\mathrm{curl})$ Conforming Finite Elements

(2009) Marie E. Rognes et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING