Mark Ainsworth
According to our database1,
Mark Ainsworth
authored at least 69 papers
between 1996 and 2023.
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Bibliography
2023
Statically Condensed Iterated Penalty Method for High Order Finite Element Discretizations of Incompressible Flow.
SIAM J. Sci. Comput., June, 2023
Computing H<sup>2</sup>-conforming finite element approximations without having to implement C<sup>1</sup>-elements.
CoRR, 2023
Uniform Preconditioners for High Order Finite Element Approximations of Planar Linear Elasticity.
CoRR, 2023
2022
Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks.
SIAM J. Sci. Comput., August, 2022
A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning.
SIAM J. Numer. Anal., June, 2022
A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes.
SIAM J. Sci. Comput., 2022
2021
Plateau Phenomenon in Gradient Descent Training of RELU Networks: Explanation, Quantification, and Avoidance.
SIAM J. Sci. Comput., 2021
Preconditioning the Mass Matrix for High Order Finite Element Approximation on Tetrahedra.
SIAM J. Sci. Comput., 2021
Galerkin Neural Networks: A Framework for Approximating Variational Equations with Error Control.
SIAM J. Sci. Comput., 2021
Mass Conserving Mixed hp-FEM Approximations to Stokes Flow. Part II: Optimal Convergence.
SIAM J. Numer. Anal., 2021
Mass Conserving Mixed hp-FEM Approximations to Stokes Flow. Part I: Uniform Stability.
SIAM J. Numer. Anal., 2021
Numerische Mathematik, 2021
Online data analysis and reduction: An important Co-design motif for extreme-scale computers.
Int. J. High Perform. Comput. Appl., 2021
Maintaining Trust in Reduction: Preserving the Accuracy of Quantities of Interest for Lossy Compression.
Proceedings of the Driving Scientific and Engineering Discoveries Through the Integration of Experiment, Big Data, and Modeling and Simulation, 2021
2020
Multilevel Techniques for Compression and Reduction of Scientific Data - The Unstructured Case.
SIAM J. Sci. Comput., 2020
J. Comput. Phys., 2020
Extending the Publish/Subscribe Abstraction for High-Performance I/O and Data Management at Extreme Scale.
IEEE Data Eng. Bull., 2020
2019
Multilevel Techniques for Compression and Reduction of Scientific Data-Quantitative Control of Accuracy in Derived Quantities.
SIAM J. Sci. Comput., 2019
Multilevel Techniques for Compression and Reduction of Scientific Data - The Multivariate Case.
SIAM J. Sci. Comput., 2019
Preconditioning the Mass Matrix for High Order Finite Element Approximation on Triangles.
SIAM J. Numer. Anal., 2019
Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation.
J. Sci. Comput., 2019
2018
Hybrid Finite Element-Spectral Method for the Fractional Laplacian: Approximation Theory and Efficient Solver.
SIAM J. Sci. Comput., 2018
Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations.
J. Sci. Comput., 2018
Multilevel techniques for compression and reduction of scientific data - the univariate case.
Comput. Vis. Sci., 2018
Proceedings of the 38th IEEE International Conference on Distributed Computing Systems, 2018
Proceedings of the 14th IEEE International Conference on e-Science, 2018
2017
SIAM J. Sci. Comput., 2017
SIAM J. Sci. Comput., 2017
SIAM J. Sci. Comput., 2017
SIAM J. Numer. Anal., 2017
Proceedings of the 37th IEEE International Conference on Distributed Computing Systems, 2017
Canopus: Enabling Extreme-Scale Data Analytics on Big HPC Storage via Progressive Refactoring.
Proceedings of the 9th USENIX Workshop on Hot Topics in Storage and File Systems, 2017
Proceedings of the Euro-Par 2017: Parallel Processing - 23rd International Conference on Parallel and Distributed Computing, Santiago de Compostela, Spain, August 28, 2017
Canopus: A Paradigm Shift Towards Elastic Extreme-Scale Data Analytics on HPC Storage.
Proceedings of the 2017 IEEE International Conference on Cluster Computing, 2017
2016
Computing the Bézier Control Points of the Lagrangian Interpolant in Arbitrary Dimension.
SIAM J. Sci. Comput., 2016
Discrete extension operators for mixed finite element spaces on locally refined meshes.
Math. Comput., 2016
2015
SIAM J. Numer. Anal., 2015
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015
2014
Pyramid Algorithms for Bernstein-Bézier Finite Elements of High, Nonuniform Order in Any Dimension.
SIAM J. Sci. Comput., 2014
Dispersive behaviour of high order finite element schemes for the one-way wave equation.
J. Comput. Phys., 2014
2013
On the Adaptive Selection of the Parameter in Stabilized Finite Element Approximations.
SIAM J. Numer. Anal., 2013
2012
Non-uniform order mixed FEM approximation: Implementation, post-processing, computable error bound and adaptivity.
J. Comput. Phys., 2012
2011
SIAM J. Sci. Comput., 2011
Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems.
Numerische Mathematik, 2011
2010
Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration.
SIAM J. Numer. Anal., 2010
Fully Computable Error Bounds for Discontinuous Galerkin Finite Element Approximations on Meshes with an Arbitrary Number of Levels of Hanging Nodes.
SIAM J. Numer. Anal., 2010
J. Comput. Appl. Math., 2010
2009
SIAM J. Numer. Anal., 2009
2008
Fully Computable Bounds for the Error in Nonconforming Finite Element Approximations of Arbitrary Order on Triangular Elements.
SIAM J. Numer. Anal., 2008
Robust a posteriori error estimation for the nonconforming Fortin-Soulie finite element approximation.
Math. Comput., 2008
2007
SIAM J. Sci. Comput., 2007
A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation.
SIAM J. Numer. Anal., 2007
2006
Dispersive and Dissipative Properties of Discontinuous Galerkin Finite Element Methods for the Second-Order Wave Equation.
J. Sci. Comput., 2006
2005
SIAM J. Numer. Anal., 2005
Reliable a posteriori error control for nonconforming finite element approximation of Stokes flow.
Math. Comput., 2005
2004
Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number.
SIAM J. Numer. Anal., 2004
2003
Conditioning of Hierarchic <i>p</i>-Version Nédélec Elements on Meshes of Curvilinear Quadrilaterals and Hexahedra.
SIAM J. Numer. Anal., 2003
Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes.
Numerische Mathematik, 2003
2002
SIAM J. Numer. Anal., 2002
2001
Fundamental Systems of Numerical Schemes for Linear Convection-Diffusion Equations and their Relationship to Accuracy.
Computing, 2001
A Posteriori Error Estimators and Adaptivity for Finite Element Approximation of the Non-Homogeneous Dirichlet Problem.
Adv. Comput. Math., 2001
2000
Construction and Analysis of Optimal Hierarchic Models of Boundary Value Problems on Thin Circular and Spherical Geometries.
SIAM J. Sci. Comput., 2000
The Stability of Mixed <i>hp</i>-Finite Element Methods for Stokes Flow on High Aspect Ratio Elements.
SIAM J. Numer. Anal., 2000
An additive Schwarz preconditioner for p-version boundary element approximation of the hypersingular operator in three dimensions.
Numerische Mathematik, 2000
1999
The approximation theory for the <i>p</i>-version finite element method and application to non-linear elliptic PDEs.
Numerische Mathematik, 1999
1998
A posteriori error estimation for fully discrete hierarchic models of elliptic boundary value problems on thin domains.
Numerische Mathematik, 1998
1996
A Hierarchical Domain Decomposition Preconditioner for <i>h</i>-<i>P</i> Finite Element Approximation on Locally Refined Meshes.
SIAM J. Sci. Comput., 1996