Simon Tavener

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 16

Top Topics

Gpu Accelerated

Ambrosio Tortorelli

Top Venues

J. Comput. Appl. Math.

SIAM/ASA J. Uncertain. Quantification

SIAM J. Sci. Comput.

Publications

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 (2024)
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 (2024)
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 (2023)
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 (2021)
Zhuoran Wang, Simon Tavener, Jiangguo Liu
Analysis of a 2-field finite element solver for poroelasticity on quadrilateral meshes. J. Comput. Appl. Math. 393 (2021)
Jehanzeb H. Chaudhry, Donald J. Estep, Simon Tavener
A posteriori error analysis for a space-time parallel discretization of parabolic partial differential equations. CoRR (2021)
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) (2020)
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)
Jiangguo Liu, Simon Tavener, Zhuoran Wang
Penalty-Free Any-Order Weak Galerkin FEMs for Elliptic Problems on Quadrilateral Meshes. J. Sci. Comput. 83 (3) (2020)
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)
Jehanzeb Hameed Chaudhry, Donald J. Estep, Simon Tavener
A posteriori error analysis for Schwarz overlapping domain decomposition methods. CoRR (2019)
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) (2019)
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 (2018)
Graham Harper, Jiangguo Liu, Simon Tavener, Zhuoran Wang
A Two-Field Finite Element Solver for Poroelasticity on Quadrilateral Meshes. ICCS (3) (2018)
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) (2018)
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) (2016)
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) (2015)
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) (2015)
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)
James B. Collins, Donald J. Estep, Simon Tavener
A posteriori error estimation for the Lax-Wendroff finite difference scheme. J. Comput. Appl. Math. 263 (2014)
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) (2014)
Simon Tavener, Tim Wildey
Adjoint Based A Posteriori Analysis of Multiscale Mortar Discretizations with Multinumerics. SIAM J. Sci. Comput. 35 (6) (2013)
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)
Liya Asner, Simon Tavener, David Kay
Adjoint-Based a Posteriori Error Estimation for Coupled Time-Dependent Systems. SIAM J. Sci. Comput. 34 (4) (2012)
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) (2010)
Varis Carey, Donald J. Estep, A. Johansson, Mats G. Larson, Simon Tavener
Blockwise Adaptivity for Time Dependent Problems Based on Coarse Scale Adjoint Solutions. SIAM J. Sci. Comput. 32 (4) (2010)
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) (2009)
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) (2009)
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) (2008)
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) (2008)
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) (2008)
Jiangguo Liu, Simon Tavener, Hongsen Chen
ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows. J. Comput. Phys. 227 (2) (2007)