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2020 – today
- 2024
[j24]Ruishu Wang, Zhuoran Wang, Simon Tavener, Jiangguo Liu:
Full weak Galerkin finite element discretizations for poroelasticity problems in the primal formulation. J. Comput. Appl. Math. 443: 115754 (2024)- [i6]Quincy Hershey
, Randy C. Paffenroth, Harsh Nilesh Pathak, Simon Tavener:
Rethinking the Relationship between Recurrent and Non-Recurrent Neural Networks: A Study in Sparsity. CoRR abs/2404.00880 (2024) - 2023
- [i5]Richard Creswell, Katherine M. Shepherd, Ben Lambert, Gary R. Mirams, Chon Lok Lei, Simon Tavener, Martin Robinson, David J. Gavaghan:
Understanding the impact of numerical solvers on inference for differential equation models. CoRR abs/2307.00749 (2023) - 2021
- [j23]Zhuoran Wang, Simon Tavener, Jiangguo Liu:
Analysis of a 2-field finite element solver for poroelasticity on quadrilateral meshes. J. Comput. Appl. Math. 393: 113539 (2021) - [i4]Jehanzeb H. Chaudhry, Donald J. Estep, Simon Tavener:
A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations. CoRR abs/2111.00606 (2021) - [i3]Jehanzeb H. Chaudhry, Donald J. Estep, Trevor Giannini, Zachary Stevens, Simon Tavener:
Error analysis of first time to a threshold value for partial differential equations. CoRR abs/2111.09834 (2021) - 2020
- [j22]Graham Harper, Ruishu Wang, Jiangguo Liu, Simon Tavener, Ran Zhang:
A locking-free solver for linear elasticity on quadrilateral and hexahedral meshes based on enrichment of Lagrangian elements. Comput. Math. Appl. 80(6): 1578-1595 (2020) - [j21]Jiangguo Liu, Graham Harper, Nolisa Malluwawadu, Simon Tavener:
A lowest-order weak Galerkin finite element method for Stokes flow on polygonal meshes. J. Comput. Appl. Math. 368 (2020) - [j20]Jiangguo Liu, Simon Tavener, Zhuoran Wang:
Penalty-Free Any-Order Weak Galerkin FEMs for Elliptic Problems on Quadrilateral Meshes. J. Sci. Comput. 83(3): 47 (2020) - [i2]Jehanzeb H. Chaudhry, Donald J. Estep, Zachary Stevens, Simon J. Tavener:
Error estimation and uncertainty quantification for first time to a threshold value. CoRR abs/2001.11139 (2020)
2010 – 2019
- 2019
- [j19]Graham Harper, Jiangguo Liu, Simon Tavener, Bin Zheng:
Lowest-Order Weak Galerkin Finite Element Methods for Linear Elasticity on Rectangular and Brick Meshes. J. Sci. Comput. 78(3): 1917-1941 (2019) - [c3]Zhuoran Wang, Graham Harper, Patrick O'Leary, Jiangguo Liu, Simon Tavener:
deal.II Implementation of a Weak Galerkin Finite Element Solver for Darcy Flow. ICCS (4) 2019: 495-509 - [i1]Jehanzeb Hameed Chaudhry, Donald J. Estep, Simon Tavener:
A posteriori error analysis for Schwarz overlapping domain decomposition methods. CoRR abs/1907.01139 (2019) - 2018
- [j18]Jiangguo Liu, Simon Tavener, Zhuoran Wang:
The lowest-order weak Galerkin finite element method for the Darcy equation on quadrilateral and hybrid meshes. J. Comput. Phys. 359: 312-330 (2018) - [j17]Jiangguo Liu, Simon Tavener, Zhuoran Wang:
Lowest-Order Weak Galerkin Finite Element Method for Darcy Flow on Convex Polygonal Meshes. SIAM J. Sci. Comput. 40(5): B1229-B1252 (2018) - [c2]Graham Harper, Jiangguo Liu, Simon Tavener, Zhuoran Wang:
A Two-Field Finite Element Solver for Poroelasticity on Quadrilateral Meshes. ICCS (3) 2018: 76-88 - 2016
- [j16]Jehanzeb Hameed Chaudhry, Donald J. Estep, Simon Tavener, Varis Carey, Jeff Sandelin:
A Posteriori Error Analysis of Two-Stage Computation Methods with Application to Efficient Discretization and the Parareal Algorithm. SIAM J. Numer. Anal. 54(5): 2974-3002 (2016) - 2015
- [j15]Todd Arbogast, Donald J. Estep, Brendan Sheehan, Simon Tavener:
A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary. SIAM/ASA J. Uncertain. Quantification 3(1): 169-198 (2015) - [j14]Jehanzeb Hameed Chaudhry, Donald J. Estep, Victor Ginting, Simon Tavener:
A Posteriori Analysis for Iterative Solvers for Nonautonomous Evolution Problems. SIAM/ASA J. Uncertain. Quantification 3(1): 434-459 (2015) - [j13]Lorenz Berger, Rafel Bordas, David Kay, Simon Tavener:
Stabilized Lowest-Order Finite Element Approximation for Linear Three-Field Poroelasticity. SIAM J. Sci. Comput. 37(5) (2015) - 2014
- [j12]James B. Collins, Donald J. Estep, Simon Tavener:
A posteriori error estimation for the Lax-Wendroff finite difference scheme. J. Comput. Appl. Math. 263: 299-311 (2014) - [j11]Troy D. Butler, Donald J. Estep, Simon Tavener, Clint Dawson, Joannes J. Westerink:
A Measure-Theoretic Computational Method for Inverse Sensitivity Problems III: Multiple Quantities of Interest. SIAM/ASA J. Uncertain. Quantification 2(1): 174-202 (2014) - 2013
- [j10]Simon Tavener, Tim Wildey:
Adjoint Based A Posteriori Analysis of Multiscale Mortar Discretizations with Multinumerics. SIAM J. Sci. Comput. 35(6) (2013) - 2012
- [j9]Liya Asner, Simon Tavener, David Kay:
Adjoint-Based a Posteriori Error Estimation for Coupled Time-Dependent Systems. SIAM J. Sci. Comput. 34(4) (2012) - [c1]Jiangguo Liu, Roberto Muñoz-Alicea, Tingwen Huang, Simon Tavener, Chaoping Chen:
A Mathematical Model for Intracellular HIV-1 Gag Protein Transport and its Parallel Numerical Simulations. ICCS 2012: 679-688 - 2010
- [j8]Donald J. Estep, Simon Tavener, Tim Wildey:
A posteriori error estimation and adaptive mesh refinement for a multiscale operator decomposition approach to fluid-solid heat transfer. J. Comput. Phys. 229(11): 4143-4158 (2010) - [j7]Varis Carey, Donald J. Estep, August Johansson, Mats G. Larson, Simon Tavener:
Blockwise Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions. SIAM J. Sci. Comput. 32(4): 2121-2145 (2010)
2000 – 2009
- 2009
- [j6]Donald J. Estep, Michael Pernice, Du Pham, Simon Tavener, Haiying Wang:
A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems. J. Comput. Appl. Math. 233(2): 459-472 (2009) - [j5]Donald J. Estep, Axel Målqvist, Simon Tavener:
Nonparametric Density Estimation for Randomly Perturbed Elliptic Problems I: Computational Methods, A Posteriori Analysis, and Adaptive Error Control. SIAM J. Sci. Comput. 31(4): 2935-2959 (2009) - 2008
- [j4]Donald J. Estep, Victor Ginting, David L. Ropp, John N. Shadid, Simon Tavener:
An A Posteriori-A Priori Analysis of Multiscale Operator Splitting. SIAM J. Numer. Anal. 46(3): 1116-1146 (2008) - [j3]Donald J. Estep, Simon Tavener, Tim Wildey:
A Posteriori Analysis and Improved Accuracy for an Operator Decomposition Solution of a Conjugate Heat Transfer Problem. SIAM J. Numer. Anal. 46(4): 2068-2089 (2008) - [j2]Varis Carey, Donald J. Estep, Simon Tavener:
A Posteriori Analysis and Adaptive Error Control for Multiscale Operator Decomposition Solution of Elliptic Systems I: Triangular Systems. SIAM J. Numer. Anal. 47(1): 740-761 (2008) - 2007
- [j1]Jiangguo Liu, Simon Tavener, Hongsen Chen:
ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows. J. Comput. Phys. 227(2): 1372-1386 (2007)
Coauthor Index
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