Mark Ainsworth

82 papers A 3B 1C 1Journal 73Unranked 4

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Do locking-free finite element schemes lock for holey Reissner-Mindlin plates with mixed boundary conditions? CoRR Mark Ainsworth, Charles Parker
2025	J	`jnl`	Extended Galerkin Neural Network Approximation of Singular Variational Problems with Error Control. SIAM J. Sci. Comput. Mark Ainsworth, Justin Dong
2025	A	`conf`	Stability-preserving Lossy Compression for Large-scale Partial Differential Equations. SC Qian Gong, Mark Ainsworth, Jieyang Chen, Xin Liang, Liangji Zhu, Ethan Klasky, Tushar M. Athawale, Qing Liu, Anand Rangarajan, Sanjay Ranka, Scott Klasky
2024	J	`jnl`	Computing $\boldsymbol{H}^{\boldsymbol{2}}$-Conforming Finite Element Approximations Without Having to Implement $\boldsymbol{C}^{\boldsymbol{1}}$-Elements. SIAM J. Sci. Comput. Mark Ainsworth, Charles Parker
2024	J	`jnl`	Extended Galerkin neural network approximation of singular variational problems with error control. CoRR Mark Ainsworth, Justin Dong
2024	J	`jnl`	Two and three dimensional H CoRR Mark Ainsworth, Charles Parker
2024	J	`jnl`	Uniform Substructuring Preconditioners for High Order FEM on Triangles and the Influence of Nodal Basis Functions. SIAM J. Numer. Anal. Mark Ainsworth, Shuai Jiang
2023	J	`jnl`	Computing H CoRR Mark Ainsworth, Charles Parker
2023	J	`jnl`	Statically Condensed Iterated Penalty Method for High Order Finite Element Discretizations of Incompressible Flow. CoRR Mark Ainsworth, Charles Parker
2023	J	`jnl`	Statically Condensed Iterated Penalty Method for High Order Finite Element Discretizations of Incompressible Flow. SIAM J. Sci. Comput. Mark Ainsworth, Charles Parker
2023	J	`jnl`	Uniform Preconditioners for High Order Finite Element Approximations of Planar Linear Elasticity. CoRR Mark Ainsworth, Charles Parker
2023	J	`jnl`	Uniform preconditioners for high order finite element approximations of planar linear elasticity. Math. Comput. Mark Ainsworth, Charles Parker
2022	J	`jnl`	A Mass Conserving Mixed $hp$-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning. SIAM J. Numer. Anal. Mark Ainsworth, Charles Parker
2022	J	`jnl`	A Systematic Approach to Constructing Preconditioners for the $hp$-Version Mass Matrix on Unstructured and Hybrid Finite Element Meshes. SIAM J. Sci. Comput. Mark Ainsworth, Shuai Jiang
2022	J	`jnl`	Active Neuron Least Squares: A Training Method for Multivariate Rectified Neural Networks. SIAM J. Sci. Comput. Mark Ainsworth, Yeonjong Shin
2021	J	`jnl`	A Mass Conserving Mixed hp-FEM Scheme for Stokes Flow. Part III: Implementation and Preconditioning. CoRR Mark Ainsworth, Charles Parker
2021	J	`jnl`	Galerkin Neural Networks: A Framework for Approximating Variational Equations with Error Control. CoRR Mark Ainsworth, Justin Dong
2021	J	`jnl`	Galerkin Neural Networks: A Framework for Approximating Variational Equations with Error Control. SIAM J. Sci. Comput. Mark Ainsworth, Justin Dong
2021	B	`conf`	Maintaining Trust in Reduction: Preserving the Accuracy of Quantities of Interest for Lossy Compression. SMC Qian Gong, Xin Liang, Ben Whitney, Jong Youl Choi, Jieyang Chen, Lipeng Wan, Stéphane Ethier, Seung-Hoe Ku, Randy Michael Churchill, Choong-Seock Chang, Mark Ainsworth, Ozan Tugluk, Todd S. Munson, David Pugmire, Richard Archibald, Scott Klasky
2021	J	`jnl`	Mass Conserving Mixed hp-FEM Approximations to Stokes Flow. Part I: Uniform Stability. SIAM J. Numer. Anal. Mark Ainsworth, Charles Parker
2021	J	`jnl`	Mass Conserving Mixed hp-FEM Approximations to Stokes Flow. Part II: Optimal Convergence. SIAM J. Numer. Anal. Mark Ainsworth, Charles Parker
2021	J	`jnl`	Online data analysis and reduction: An important Co-design motif for extreme-scale computers. Int. J. High Perform. Comput. Appl. Ian T. Foster, Mark Ainsworth, Julie Bessac, Franck Cappello, Jong Choi, Sheng Di, Zichao Wendy Di, Ali Murat Gok, Hanqi Guo, Kevin A. Huck, Christopher Kelly, Scott Klasky, Kerstin Kleese van Dam, Xin Liang, Kshitij Mehta, Manish Parashar, Tom Peterka, Line Pouchard, Tong Shu, Ozan Tugluk, Hubertus Van Dam, Lipeng Wan, Matthew Wolf, Justin M. Wozniak, Wei Xu, Igor Yakushin, Shinjae Yoo, Todd S. Munson
2021	J	`jnl`	Plateau Phenomenon in Gradient Descent Training of RELU Networks: Explanation, Quantification, and Avoidance. SIAM J. Sci. Comput. Mark Ainsworth, Yeonjong Shin
2021	J	`jnl`	Preconditioning high order H Numerische Mathematik Mark Ainsworth, Charles Parker
2021	J	`jnl`	Preconditioning the Mass Matrix for High Order Finite Element Approximation on Tetrahedra. SIAM J. Sci. Comput. Mark Ainsworth, Shuai Jiang
2020	J	`jnl`	Extending the Publish/Subscribe Abstraction for High-Performance I/O and Data Management at Extreme Scale. IEEE Data Eng. Bull. Jeremy Logan, Mark Ainsworth, Chuck Atkins, Jieyang Chen, Jong Choi, Junmin Gu, James Kress, Greg Eisenhauer, Berk Geveci, William F. Godoy, Mark Kim, Tahsin M. Kurç, Qing Liu, Kshitij Mehta, George Ostrouchov, Norbert Podhorszki, David Pugmire, Eric Suchyta, Nicholas Thompson, Ozan Tugluk, Lipeng Wan, Ruonan Wang, Ben Whitney, Matthew Wolf, Kesheng Wu, Scott Klasky
2020	J	`jnl`	H SIAM J. Numer. Anal. Mark Ainsworth, Charles Parker
2020	J	`jnl`	Multilevel Techniques for Compression and Reduction of Scientific Data - The Unstructured Case. SIAM J. Sci. Comput. Mark Ainsworth, Ozan Tugluk, Ben Whitney, Scott Klasky
2020	J	`jnl`	Plateau Phenomenon in Gradient Descent Training of ReLU networks: Explanation, Quantification and Avoidance. CoRR Mark Ainsworth, Yeonjong Shin
2020	J	`jnl`	What is the fractional Laplacian? A comparative review with new results. J. Comput. Phys. Anna Lischke, Guofei Pang, Mamikon A. Gulian, Fangying Song, Christian Glusa, Xiaoning Zheng, Zhiping Mao, Wei Cai, Mark M. Meerschaert, Mark Ainsworth, George Em Karniadakis
2019	J	`jnl`	Dispersive Behavior of an Energy-Conserving Discontinuous Galerkin Method for the One-Way Wave Equation. J. Sci. Comput. Mark Ainsworth, Guosheng Fu
2019	J	`jnl`	Multilevel Techniques for Compression and Reduction of Scientific Data - The Multivariate Case. SIAM J. Sci. Comput. Mark Ainsworth, Ozan Tugluk, Ben Whitney, Scott Klasky
2019	J	`jnl`	Multilevel Techniques for Compression and Reduction of Scientific Data-Quantitative Control of Accuracy in Derived Quantities. SIAM J. Sci. Comput. Mark Ainsworth, Ozan Tugluk, Ben Whitney, Scott Klasky
2019	J	`jnl`	Preconditioning the Mass Matrix for High Order Finite Element Approximation on Triangles. SIAM J. Numer. Anal. Mark Ainsworth, Shuai Jiang
2018	A	`conf`	A View from ORNL: Scientific Data Research Opportunities in the Big Data Age. ICDCS Scott Klasky, Matthew Wolf, Mark Ainsworth, Chuck Atkins, Jong Choi, Greg Eisenhauer, Berk Geveci, William F. Godoy, Mark Kim, James Kress, Tahsin M. Kurç, Qing Liu, Jeremy Logan, Arthur B. Maccabe, Kshitij Mehta, George Ostrouchov, Manish Parashar, Norbert Podhorszki, David Pugmire, Eric Suchyta, Lipeng Wan, Ruonan Wang
2018	—	`conf`	Coupling Exascale Multiphysics Applications: Methods and Lessons Learned. eScience Jong Youl Choi, Choong-Seock Chang, Julien Dominski, Scott Klasky, Gabriele Merlo, Eric Suchyta, Mark Ainsworth, Bryce Allen, Franck Cappello, Michael Churchill, Philip E. Davis, Sheng Di, Greg Eisenhauer, Stéphane Ethier, Ian T. Foster, Berk Geveci, Hanqi Guo, Kevin A. Huck, Frank Jenko, Mark Kim, James Kress, Seung-Hoe Ku, Qing Liu, Jeremy Logan, Allen D. Malony, Kshitij Mehta, Kenneth Moreland, Todd S. Munson, Manish Parashar, Tom Peterka, Norbert Podhorszki, Dave Pugmire, Ozan Tugluk, Ruonan Wang, Ben Whitney, Matthew Wolf, Chad Wood
2018	J	`jnl`	Fully Computable a Posteriori Error Bounds for Hybridizable Discontinuous Galerkin Finite Element Approximations. J. Sci. Comput. Mark Ainsworth, Guosheng Fu
2018	J	`jnl`	Hybrid Finite Element-Spectral Method for the Fractional Laplacian: Approximation Theory and Efficient Solver. SIAM J. Sci. Comput. Mark Ainsworth, Christian Glusa
2018	J	`jnl`	Multilevel techniques for compression and reduction of scientific data - the univariate case. Comput. Vis. Sci. Mark Ainsworth, Ozan Tugluk, Ben Whitney, Scott Klasky
2017	J	`jnl`	Analysis and Approximation of a Fractional Cahn-Hilliard Equation. SIAM J. Numer. Anal. Mark Ainsworth, Zhiping Mao
2017	C	`conf`	Canopus: A Paradigm Shift Towards Elastic Extreme-Scale Data Analytics on HPC Storage. CLUSTER Tao Lu, Eric Suchyta, David Pugmire, Jong Choi, Scott Klasky, Qing Liu, Norbert Podhorszki, Mark Ainsworth, Matthew Wolf
2017	—	`conf`	Canopus: Enabling Extreme-Scale Data Analytics on Big HPC Storage via Progressive Refactoring. HotStorage Tao Lu, Eric Suchyta, Jong Youl Choi, Norbert Podhorszki, Scott Klasky, Qing Liu, David Pugmire, Matthew Wolf, Mark Ainsworth
2017	J	`jnl`	Compression Using Lossless Decimation: Analysis and Application. SIAM J. Sci. Comput. Mark Ainsworth, Scott Klasky, Ben Whitney
2017	—	`conf`	Computing Just What You Need: Online Data Analysis and Reduction at Extreme Scales. Euro-Par Ian T. Foster, Mark Ainsworth, Bryce Allen, Julie Bessac, Franck Cappello, Jong Youl Choi, Emil M. Constantinescu, Philip E. Davis, Sheng Di, Zichao Wendy Di, Hanqi Guo, Scott Klasky, Kerstin Kleese van Dam, Tahsin M. Kurç, Qing Liu, Abid Malik, Kshitij Mehta, Klaus Mueller, Todd S. Munson, George Ostrouchov, Manish Parashar, Tom Peterka, Line Pouchard, Dingwen Tao, Ozan Tugluk, Stefan M. Wild, Matthew Wolf, Justin M. Wozniak, Wei Xu, Shinjae Yoo
2017	A	`conf`	Exacution: Enhancing Scientific Data Management for Exascale. ICDCS Scott Klasky, Eric Suchyta, Mark Ainsworth, Qing Liu, Ben Whitney, Matthew Wolf, Jong Youl Choi, Ian T. Foster, Mark Kim, Jeremy Logan, Kshitij Mehta, Todd S. Munson, George Ostrouchov, Manish Parashar, Norbert Podhorszki, David Pugmire, Lipeng Wan
2017	J	`jnl`	Is the Multigrid Method Fault Tolerant? The Multilevel Case. SIAM J. Sci. Comput. Mark Ainsworth, Christian Glusa
2017	J	`jnl`	Is the Multigrid Method Fault Tolerant? The Two-Grid Case. SIAM J. Sci. Comput. Mark Ainsworth, Christian Glusa
2016	J	`jnl`	Computing the Bézier Control Points of the Lagrangian Interpolant in Arbitrary Dimension. SIAM J. Sci. Comput. Mark Ainsworth, Manuel A. Sánchez
2016	J	`jnl`	Discrete extension operators for mixed finite element spaces on locally refined meshes. Math. Comput. Mark Ainsworth, Johnny Guzmán, Francisco-Javier Sayas
2016	J	`jnl`	Is the Multigrid Method Fault Tolerant? The Multilevel Case. CoRR Mark Ainsworth, Christian Glusa
2016	J	`jnl`	Is the Multigrid Method Fault Tolerant? The Two-Grid Case. CoRR Mark Ainsworth, Christian Glusa
2015	—	`conf`	Multigrid at Scale? ENUMATH Mark Ainsworth, Christian Glusa
2015	J	`jnl`	Stabilization of High Aspect Ratio Mixed Finite Elements for Incompressible Flow. SIAM J. Numer. Anal. Mark Ainsworth, Gabriel R. Barrenechea, Andreas Wachtel
2015	J	`jnl`	Tempered Fractional Sturm-Liouville EigenProblems. SIAM J. Sci. Comput. Mohsen Zayernouri, Mark Ainsworth, George E. Karniadakis
2014	J	`jnl`	Dispersive behaviour of high order finite element schemes for the one-way wave equation. J. Comput. Phys. Mark Ainsworth
2014	J	`jnl`	Pyramid Algorithms for Bernstein-Bézier Finite Elements of High, Nonuniform Order in Any Dimension. SIAM J. Sci. Comput. Mark Ainsworth
2013	J	`jnl`	On the Adaptive Selection of the Parameter in Stabilized Finite Element Approximations. SIAM J. Numer. Anal. Mark Ainsworth, Alejandro Allendes, Gabriel R. Barrenechea, Richard Rankin
2012	J	`jnl`	Non-uniform order mixed FEM approximation: Implementation, post-processing, computable error bound and adaptivity. J. Comput. Phys. Mark Ainsworth, Xinhui Ma
2011	J	`jnl`	Bernstein-Bézier Finite Elements of Arbitrary Order and Optimal Assembly Procedures. SIAM J. Sci. Comput. Mark Ainsworth, Gaelle Andriamaro, Oleg Davydov
2011	J	`jnl`	Fully computable robust a posteriori error bounds for singularly perturbed reaction-diffusion problems. Numerische Mathematik Mark Ainsworth, Tomás Vejchodský
2010	J	`jnl`	A framework for obtaining guaranteed error bounds for finite element approximations. J. Comput. Appl. Math. Mark Ainsworth
2010	J	`jnl`	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. Mark Ainsworth, Richard Rankin
2010	J	`jnl`	Optimally Blended Spectral-Finite Element Scheme for Wave Propagation and NonStandard Reduced Integration. SIAM J. Numer. Anal. Mark Ainsworth, Hafiz Abdul Wajid
2009	J	`jnl`	Dispersive and Dissipative Behavior of the Spectral Element Method. SIAM J. Numer. Anal. Mark Ainsworth, Hafiz Abdul Wajid
2008	J	`jnl`	Fully Computable Bounds for the Error in Nonconforming Finite Element Approximations of Arbitrary Order on Triangular Elements. SIAM J. Numer. Anal. Mark Ainsworth, Richard Rankin
2008	J	`jnl`	Robust a posteriori error estimation for the nonconforming Fortin-Soulie finite element approximation. Math. Comput. Mark Ainsworth, Richard Rankin
2007	J	`jnl`	A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation. SIAM J. Numer. Anal. Mark Ainsworth
2007	J	`jnl`	A Posteriori Error Estimation for Lowest Order Raviart-Thomas Mixed Finite Elements. SIAM J. Sci. Comput. Mark Ainsworth
2006	J	`jnl`	Dispersive and Dissipative Properties of Discontinuous Galerkin Finite Element Methods for the Second-Order Wave Equation. J. Sci. Comput. Mark Ainsworth, Peter Monk, Wagner Muniz
2005	J	`jnl`	Reliable a posteriori error control for nonconforming finite element approximation of Stokes flow. Math. Comput. Willy Dörfler, Mark Ainsworth
2005	J	`jnl`	Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation. SIAM J. Numer. Anal. Mark Ainsworth
2004	J	`jnl`	Discrete Dispersion Relation for hp-Version Finite Element Approximation at High Wave Number. SIAM J. Numer. Anal. Mark Ainsworth
2003	J	`jnl`	Conditioning of Hierarchic SIAM J. Numer. Anal. Mark Ainsworth, Joe Coyle
2003	J	`jnl`	Multilevel diagonal scaling preconditioners for boundary element equations on locally refined meshes. Numerische Mathematik Mark Ainsworth, William McLean
2001	J	`jnl`	A Posteriori Error Estimators and Adaptivity for Finite Element Approximation of the Non-Homogeneous Dirichlet Problem. Adv. Comput. Math. Mark Ainsworth, Donald W. Kelly
2001	J	`jnl`	Fundamental Systems of Numerical Schemes for Linear Convection-Diffusion Equations and their Relationship to Accuracy. Computing Mark Ainsworth, Willy Dörfler
2000	J	`jnl`	An additive Schwarz preconditioner for p-version boundary element approximation of the hypersingular operator in three dimensions. Numerische Mathematik Mark Ainsworth, Benqi Guo
2000	J	`jnl`	Construction and Analysis of Optimal Hierarchic Models of Boundary Value Problems on Thin Circular and Spherical Geometries. SIAM J. Sci. Comput. Mark Ainsworth, Mark Arnold
2000	J	`jnl`	The Stability of Mixed SIAM J. Numer. Anal. Mark Ainsworth, Patrick Coggins
1999	J	`jnl`	The approximation theory for the Numerische Mathematik Mark Ainsworth, David Kay
1998	J	`jnl`	A posteriori error estimation for fully discrete hierarchic models of elliptic boundary value problems on thin domains. Numerische Mathematik Mark Ainsworth
1996	J	`jnl`	A Hierarchical Domain Decomposition Preconditioner for SIAM J. Sci. Comput. Mark Ainsworth