Todd Arbogast
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American mathematician
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Todd Arbogastmathematics Degrees
Mathematics
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#5791
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#1423
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Measure Theory
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#3652
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#895
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Mathematics
Todd Arbogast's Degrees
- PhD Mathematics University of Texas at Austin
- Masters Mathematics University of Texas at Austin
- Bachelors Mathematics University of Texas at Austin
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Why Is Todd Arbogast Influential?
(Suggest an Edit or Addition)According to Wikipedia, Todd Arbogast is an American mathematician. He is a professor of mathematics at the University of Texas at Austin, where he is a W. A. "Tex" Moncrief, Jr. Simulation-Based Engineering and Sciences Professor and Frank E. Gerth III Faculty Fellow. His research concerns the numerical analysis of partial differential equations.
Todd Arbogast's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Derivation of the double porosity model of single phase flow via homogenization theory (1990) (640)
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences (1997) (393)
- A Multiscale Mortar Mixed Finite Element Method (2007) (306)
- A characteristics-mixed finite element method for advection-dominated transport problems (1995) (249)
- A computational method for approximating a Darcy–Stokes system governing a vuggy porous medium (2007) (227)
- A Nonlinear Mixed Finite Eelement Method for a Degenerate Parabolic Equation Arising in Flow in Porous Media (1996) (204)
- Mixed Finite Element Methods on Nonmatching Multiblock Grids (2000) (200)
- Implementation of a Locally Conservative Numerical Subgrid Upscaling Scheme for Two-Phase Darcy Flow (2002) (196)
- Homogenization of a Darcy–Stokes system modeling vuggy porous media (2006) (191)
- Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry (1998) (185)
- On the implementation of mixed methods as nonconforming methods for second-order elliptic problems (1995) (180)
- Analysis of a Two-Scale, Locally Conservative Subgrid Upscaling for Elliptic Problems (2004) (146)
- Subgrid Upscaling and Mixed Multiscale Finite Elements (2006) (141)
- Numerical Subgrid Upscaling of Two-Phase Flow in Porous Media (2000) (108)
- The existence of weak solutions to single porosity and simple dual-porosity models of two-phase incompressible flow (1992) (107)
- A New Generation EOS Compositional Reservoir Simulator: Part I - Formulation and Discretization (1997) (93)
- A two-scale numerical subgrid technique for waterflood simulations (2002) (84)
- A discretization and multigrid solver for a Darcy–Stokes system of three dimensional vuggy porous media (2009) (76)
- Analysis of the simulation of single phase flow through a naturally fractured reservoir (1989) (73)
- A non-mortar mixed finite element method for elliptic problems on non-matching multiblock grids☆ (1997) (56)
- Gravitational forces in dual-porosity systems: I. Model derivation by homogenization (1993) (53)
- Two Families of H(div) Mixed Finite Elements on Quadrilaterals of Minimal Dimension (2016) (52)
- A discontinuous Galerkin method for two-phase flow in a porous medium enforcing H(div) velocityand continuous capillary pressure (2013) (52)
- A Parallel Multiblock/Multidomain Approach for Reservoir Simulation (1999) (51)
- An Eulerian-Lagrangian WENO finite volume scheme for advection problems (2012) (50)
- Operator-based approach to upscaling the pressure equation (1998) (50)
- A Fully Mass and Volume Conserving Implementation of a Characteristic Method for Transport Problems (2006) (48)
- Computational methods for multiphase flow and reactive transport problems arising in subsurface contaminant remediation (1996) (44)
- Numerical methods for the simulation of flow in root-soil systems (1993) (44)
- A dual-porosity model for waterflooding in naturally fractured reservoirs (1991) (41)
- Gravitational forces in dual-porosity systems: II. Computational validation of the homogenized model (1993) (40)
- A finite difference method for a two-sex model of population dynamics (1989) (35)
- Modeling Of Naturally Fractured Reservoirs By Formal Homogenization Techniques (1991) (34)
- The double porosity model for single phase flow in naturally fractured reservoirs (1987) (29)
- Logically rectangular mixed methods for Darcy flow on general geometry (1995) (29)
- A Multiscale Mortar Mixed Space Based on Homogenization for Heterogeneous Elliptic Problems (2013) (28)
- Numerical Subgrid Upscaling for Waterflood Simulations (2001) (28)
- A Characteristic-Mixed Method for Contaminant Transport and Miscible Displacement (1992) (27)
- A preliminary computational investigation of a macro-model for vuggy porous media (2004) (27)
- Computational aspects of dual-porosity models (1996) (26)
- A semi-Lagrangian finite difference WENO scheme for scalar nonlinear conservation laws (2016) (26)
- Two-level mortar domain decomposition preconditioners for heterogeneous elliptic problems (2015) (24)
- Mixed Multiscale Methods for Heterogeneous Elliptic Problems (2012) (24)
- Logically Rectangular Mixed Methods for Groundwater Flow and Transport on General Geometry (1994) (22)
- IMPROVED ACCURACY FOR ALTERNATING-DIRECTION METHODS FOR PARABOLIC EQUATIONS BASED ON REGULAR AND MIXED FINITE ELEMENTS (2007) (22)
- A Fully Implicit, Compositional, Parallel Simulator for IOR Processes in Fractured Reservoirs (2006) (21)
- A Family of Rectangular Mixed Elements with a Continuous Flux for Second Order Elliptic Problems (2004) (20)
- Finite volume WENO schemes for nonlinear parabolic problems with degenerate diffusion on non-uniform meshes (2019) (20)
- Multiscale Flow and Transport in Highly Heterogeneous Carbonates (2004) (19)
- Convergence of a Fully Conservative Volume Corrected Characteristic Method for Transport Problems (2010) (19)
- Accuracy of WENO and Adaptive Order WENO Reconstructions for Solving Conservation Laws (2018) (19)
- Simulation of Flow in Naturally Fractured Reservoirs (1987) (19)
- Simplified dual-porosity model for two-phase flow (1992) (18)
- Mixed methods using standard conforming finite elements (2009) (18)
- Immiscible displacement in vertically fractured reservoirs (1993) (18)
- Two Models for the Waterflooding of Naturally Fractured Reservoirs (17)
- A fully conservative Eulerian-Lagrangian method for a convection-diffusion problem in a solenoidal field (2010) (16)
- Homogenization-Based Mixed Multiscale Finite Elements for Problems with Anisotropy (2011) (16)
- A third order, implicit, finite volume, adaptive Runge–Kutta WENO scheme for advection–diffusion equations (2020) (15)
- A Linear Degenerate Elliptic Equation Arising from Two-Phase Mixtures (2016) (15)
- Fifth Order Multi-moment WENO Schemes for Hyperbolic Conservation Laws (2015) (14)
- Two-phase incompressible flow in a porous medium with various nonhomogeneous boundary conditions (1990) (14)
- A Posteriori Error Estimates for Mixed Finite Element and Finite Volume Methods for Parabolic Problems Coupled through a Boundary (2015) (13)
- A Fully Implicit, Compositional, Parallel Simulator for IOR Processes in Fractured (2007) (13)
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Finite Differences (1994) (13)
- Stability, Monotonicity, Maximum and Minimum Principles, and Implementation of the Volume Corrected Characteristic Method (2011) (13)
- Logically rectangular mixed methods for flow in irregular, heterogeneous domains (1996) (13)
- Construction of $$H({\mathrm{div}})$$H(div)-conforming mixed finite elements on cuboidal hexahedra (2018) (12)
- On the simulation of incompressible, miscible displacement in a naturally fractured petroleum reservoir (1989) (12)
- A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws (2014) (11)
- Two-phase immiscible flow in naturally fractured reservoirs (1987) (11)
- An Error Analysis for Galerkin Approximations to an Equation of Mixed Elliptic-Parabolic Type (1990) (11)
- Mixed Methods for Two-Phase Darcy-Stokes Mixtures of Partially Melted Materials with Regions of Zero Porosity (2017) (11)
- Efficient Mixed Methods for Groundwater Flow on Triangular or Tetrahedral Meshes (1994) (10)
- Methods of Applied Mathematics (2008) (9)
- Von Neumann Stable, Implicit, High Order, Finite Volume WENO Schemes (2019) (9)
- An Eulerian–Lagrangian Weighted Essentially Nonoscillatory scheme for nonlinear conservation laws (2017) (9)
- AN EULERIAN-LAGRANGIAN WENO SCHEME FOR NONLINEAR CONSERVATION LAWS (2013) (8)
- A posteriori error estimates for mixed finite element and finite volume methods for problems coupled through a boundary with nonmatching grids (2014) (7)
- Construction of H ( div ) -conforming mixed finite elements on cuboidal hexahedra (2018) (7)
- A hybridized discontinuous Galerkin method for a linear degenerate elliptic equation arising from two-phase mixtures (2018) (7)
- Multiscale mortar mixed methods for heterogeneous elliptic problems (2012) (7)
- User's Guide to Parssim1: The Parallel Subsurface Simulator, Single Phase (2006) (7)
- A Locally Conservative Eulerian-Lagrangian Method for a Model Two-Phase Flow Problem in a One-Dimensional Porous Medium (2012) (7)
- A cell-centered finite difference method for a degenerate elliptic equation arising from two-phase mixtures (2017) (7)
- Full H(div)-approximation of linear elasticity on quadrilateral meshes based on ABF finite elements (2019) (6)
- A Parallel Multiphase Numerical Model for Subsurface Contaminant Transport with Biodegradation Kinetics (1994) (6)
- Mixed Finite Element Methods as Finite Difference Methods for Solving Elliptic Equations on Triangular Elements (1993) (6)
- Direct serendipity and mixed finite elements on convex quadrilaterals (2018) (6)
- A parallel algorithm for two phase multicomponent contaminant transport (1995) (6)
- A Parallel Numerical Model for Subsurface Contaminant Transport with Biodegradation Kinetics a Parallel Numerical Model for Subsurface Contaminant Transport with Biodegradation Kinetics (1993) (4)
- THE APPLICATION OF MIXED METHODS TO SUBSURFACE SIMULATION (1997) (4)
- Simulation of Flow in Naturally Fractured Petroleum Reservoirs (1987) (3)
- Direct Serendipity Finite Elements on Convex Quadrilaterals (2017) (3)
- A direct mixed–enriched Galerkin method on quadrilaterals for two-phase Darcy flow (2018) (3)
- Direct serendipity and mixed finite elements on convex polygons (2022) (3)
- A Fully Conservative Eulerian-Lagrangian Stream-Tube Method for Advection-Diffusion Problems (2012) (3)
- A SELF-ADAPTIVE THETA SCHEME USING DISCONTINUITY AWARE QUADRATURE FOR SOLVING CONSERVATION LAWS∗ (2020) (2)
- An Implicit Eulerian–Lagrangian WENO3 Scheme for Nonlinear Conservation Laws (2018) (2)
- A Simplified Dual-Porosity Model for Two-Phase Flow 1 (2008) (2)
- A Tall Block Model for Immiscible Displacement in Naturally Fractured Reservoirs (1990) (1)
- Simulation of flow in root-soil systems (1992) (1)
- Efficient forward modeling for DNAPL site evaluation and remdiation (2006) (1)
- WENO schemes for nonlinear parabolic problems with degenerate di ff usion on non-uniform meshes (2019) (0)
- STUDIES IN RECURRENCE IN NONLINEAR DISPERSIVE WAVE EQUATIONS (2009) (0)
- Mixed variational multiscale methods and multiscale finite elements (2006) (0)
- Mini-Workshop: Numerical Upscaling for Flow Problems: Theory and Applications (2009) (0)
- A posteriori error estimates for mixed finite element and finite volume methods for parabolic problems coupled through a boundary with non-matching discretizations (2014) (0)
- Mini-symposium A 10 High Order Methods and Applications to Complex Flows Organizers (2014) (0)
- VON NEUMANN STABLE, IMPLICIT FINITE VOLUME WENO SCHEMES FOR HYPERBOLIC CONSERVATION LAWS∗ (2018) (0)
- Committees Scientific Committee Organizing Committee Plenary Speakers Schedule Schedule Schedule Xylar Asay-davis Schedule Room: Cbc C116 Mini-symposium 4 Advances in Analytical and Computational Techniques for Nonlinear Waves Organizer: Room: Cbc C118 Mini-symposium 9 Uncertainty Quantification for (0)
- Mathematisches Forschungsinstitut Oberwolfach Report No . 12 / 2009 Mini-Workshop : Numerical Upscaling for Flow Problems : Theory and Applications (2009) (0)
- Mixed Finite Element Methods for Melt Migration (2012) (0)
- Homogenization of compositional flow in fractured porous media (1993) (0)
- Grand challenge problems in environmental modeling and remediation: groundwater contaminant transport (1998) (0)
- Multidimensional WENO-AO Reconstructions using a Simplified Smoothness Indicator and Applications to Conservation Laws (2022) (0)
- Numerische Mathematik Direct serendipity andmixed finite elements on convex quadrilaterals (2022) (0)
- ICES REPORT 17-20 August 2017 A Multilevel-WENO Technique for Solving Nonlinear Conservation Laws (0)
- Mimetic discretizations bibliography (2003) (0)
- Approximation of advection-diffusion equations using implicit WENO methods (2019) (0)
- ICES REPORT 17-28 October 2017 Direct Serendipity Finite Elements on Convex Quadrilaterals (0)
- Fifth Order Multi-moment WENO Schemes for Hyperbolic Conservation Laws (2014) (0)
- An Implicit Eulerian–Lagrangian WENO3 Scheme for Nonlinear Conservation Laws (2018) (0)
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