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ORCIDMark H. Carpenter
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2020 – today
- 2024
[j37]Viktor Linders, Mark H. Carpenter, Jan Nordström
:
A superconvergent stencil-adaptive SBP-SAT finite difference scheme. J. Comput. Phys. 501: 112794 (2024)- 2023
- [i5]Viktor Linders, Mark H. Carpenter, Jan Nordström:
A superconvergent stencil-adaptive SBP-SAT finite difference scheme. CoRR abs/2307.14034 (2023) - 2022
- [j36]Alexander Cicchino, David C. Del Rey Fernández, Siva Nadarajah, Jesse Chan, Mark H. Carpenter:
Provably stable flux reconstruction high-order methods on curvilinear elements. J. Comput. Phys. 463: 111259 (2022) - [j35]Michael Donello, Mark H. Carpenter, Hessam Babaee:
Computing Sensitivities in Evolutionary Systems: A Real-Time Reduced Order Modeling Strategy. SIAM J. Sci. Comput. 44(1): 128- (2022) - 2021
- [i4]Alexander Cicchino, David C. Del Rey Fernández, Siva Nadarajah, Jesse Chan, Mark H. Carpenter:
Provably Stable Flux Reconstruction High-Order Methods on Curvilinear Elements. CoRR abs/2109.11617 (2021) - 2020
- [j34]Viktor Linders, Mark H. Carpenter, Jan Nordström:
Accurate solution-adaptive finite difference schemes for coarse and fine grids. J. Comput. Phys. 410: 109393 (2020)
2010 – 2019
- 2019
- [j33]Longfei Gao, David C. Del Rey Fernández, Mark H. Carpenter, David E. Keyes:
SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids. J. Comput. Appl. Math. 348: 421-444 (2019) - [j32]David C. Del Rey Fernández, Jared Crean, Mark H. Carpenter, Jason E. Hicken:
Staggered-grid entropy-stable multidimensional summation-by-parts discretizations on curvilinear coordinates. J. Comput. Phys. 392: 161-186 (2019) - [j31]Lisandro Dalcín, Diego Rojas, Stefano Zampini, David C. Del Rey Fernández, Mark H. Carpenter, Matteo Parsani:
Conservative and entropy stable solid wall boundary conditions for the compressible Navier-Stokes equations: Adiabatic wall and heat entropy transfer. J. Comput. Phys. 397 (2019) - [j30]Nail K. Yamaleev, David C. Del Rey Fernández, Jialin Lou, Mark H. Carpenter:
Entropy stable spectral collocation schemes for the 3-D Navier-Stokes equations on dynamic unstructured grids. J. Comput. Phys. 399 (2019) - [j29]Lucas Friedrich, Gero Schnücke, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Mark H. Carpenter:
Entropy Stable Space-Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws. J. Sci. Comput. 80(1): 175-222 (2019) - [j28]David C. Del Rey Fernández, Pieter D. Boom, Mark H. Carpenter, David W. Zingg:
Extension of Tensor-Product Generalized and Dense-Norm Summation-by-Parts Operators to Curvilinear Coordinates. J. Sci. Comput. 80(3): 1957-1996 (2019) - [j27]Jesse Chan, David C. Del Rey Fernández, Mark H. Carpenter:
Efficient Entropy Stable Gauss Collocation Methods. SIAM J. Sci. Comput. 41(5): A2938-A2966 (2019) - [i3]David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, L. Fredrich, Diego Rojas, Andrew R. Winters, Gregor J. Gassner, Stefano Zampini, Matteo Parsani:
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Euler equations. CoRR abs/1909.12536 (2019) - [i2]David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, Lucas Friedrich, Andrew R. Winters, Gregor J. Gassner, Matteo Parsani:
Entropy Stable p-Nonconforming Discretizations with the Summation-by-Parts Property for the Compressible Navier-Stokes Equations. CoRR abs/1909.12546 (2019) - [i1]David C. Del Rey Fernández, Mark H. Carpenter, Lisandro Dalcín, Stefano Zampini, Matteo Parsani:
Entropy Stable h/p-Nonconforming Discretization with the Summation-by-Parts Property for the Compressible Euler and Navier-Stokes Equations. CoRR abs/1910.02110 (2019) - 2018
- [j26]Jared Crean, Jason E. Hicken, David C. Del Rey Fernández, David W. Zingg, Mark H. Carpenter:
Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements. J. Comput. Phys. 356: 410-438 (2018) - [j25]Lucas Friedrich, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Matteo Parsani, Mark H. Carpenter:
An Entropy Stable h / p Non-Conforming Discontinuous Galerkin Method with the Summation-by-Parts Property. J. Sci. Comput. 77(2): 689-725 (2018) - [j24]Magnus Svärd, Mark H. Carpenter, Matteo Parsani:
Entropy Stability and the No-Slip Wall Boundary Condition. SIAM J. Numer. Anal. 56(1): 256-273 (2018) - 2017
- [j23]Nail K. Yamaleev, Mark H. Carpenter:
A family of fourth-order entropy stable nonoscillatory spectral collocation schemes for the 1-D Navier-Stokes equations. J. Comput. Phys. 331: 90-107 (2017) - [j22]Mark H. Carpenter, Jan Nordström, David I. Gottlieb:
Corrigendum to "A stable and conservative interface treatment of arbitrary spatial accuracy" [J. Comput. Phys. 148 (1999) 341-365]. J. Comput. Phys. 351: 534 (2017) - 2016
- [j21]Matteo Parsani, Mark H. Carpenter, Travis C. Fisher, Eric J. Nielsen:
Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier-Stokes Equations. SIAM J. Sci. Comput. 38(5) (2016) - 2015
- [j20]Matteo Parsani, Mark H. Carpenter, Eric J. Nielsen:
Entropy stable discontinuous interfaces coupling for the three-dimensional compressible Navier-Stokes equations. J. Comput. Phys. 290: 132-138 (2015) - [j19]Matteo Parsani, Mark H. Carpenter, Eric J. Nielsen:
Entropy stable wall boundary conditions for the three-dimensional compressible Navier-Stokes equations. J. Comput. Phys. 292: 88-113 (2015) - 2014
- [j18]Ken Mattsson, Martin Almquist, Mark H. Carpenter:
Optimal diagonal-norm SBP operators. J. Comput. Phys. 264: 91-111 (2014) - [j17]Mark H. Carpenter, Travis C. Fisher, Eric J. Nielsen, Steven H. Frankel:
Entropy Stable Spectral Collocation Schemes for the Navier-Stokes Equations: Discontinuous Interfaces. SIAM J. Sci. Comput. 36(5) (2014) - 2013
- [j16]Travis C. Fisher, Mark H. Carpenter, Jan Nordström, Nail K. Yamaleev, Charles Swanson:
Discretely conservative finite-difference formulations for nonlinear conservation laws in split form: Theory and boundary conditions. J. Comput. Phys. 234: 353-375 (2013) - [j15]Travis C. Fisher, Mark H. Carpenter:
High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains. J. Comput. Phys. 252: 518-557 (2013) - 2011
- [j14]Travis C. Fisher, Mark H. Carpenter, Nail K. Yamaleev, Steven H. Frankel:
Boundary closures for fourth-order energy stable weighted essentially non-oscillatory finite-difference schemes. J. Comput. Phys. 230(10): 3727-3752 (2011) - 2010
- [j13]Mark H. Carpenter, Jan Nordström, David I. Gottlieb:
Revisiting and Extending Interface Penalties for Multi-domain Summation-by-Parts Operators. J. Sci. Comput. 45(1-3): 118-150 (2010) - [j12]Ken Mattsson, Mark H. Carpenter:
Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods. SIAM J. Sci. Comput. 32(4): 2298-2320 (2010)
2000 – 2009
- 2009
- [j11]Nail K. Yamaleev, Mark H. Carpenter:
Third-order Energy Stable WENO scheme. J. Comput. Phys. 228(8): 3025-3047 (2009) - [j10]Nail K. Yamaleev, Mark H. Carpenter:
A systematic methodology for constructing high-order energy stable WENO schemes. J. Comput. Phys. 228(11): 4248-4272 (2009) - 2007
- [j9]Magnus Svärd, Mark H. Carpenter, Jan Nordström:
A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions. J. Comput. Phys. 225(1): 1020-1038 (2007) - [j8]Alex Kanevsky, Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven:
Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes. J. Comput. Phys. 225(2): 1753-1781 (2007) - 2006
- [j7]Alex Kanevsky, Mark H. Carpenter, Jan S. Hesthaven:
Idempotent filtering in spectral and spectral element methods. J. Comput. Phys. 220(1): 41-58 (2006) - 2005
- [j6]Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven, Chi-Wang Shu:
Foreword. J. Sci. Comput. 25(1-2): 1-2 (2005) - [j5]Mark H. Carpenter, C. A. Kennedy, Hester Bijl, S. A. Viken, Veer N. Vatsa:
Fourth-Order Runge-Kutta Schemes for Fluid Mechanics Applications. J. Sci. Comput. 25(1-2): 157-194 (2005) - 2003
- [j4]Mark H. Carpenter, David I. Gottlieb, Chi-Wang Shu:
On the Conservation and Convergence to Weak Solutions of Global Schemes. J. Sci. Comput. 18(1): 111-132 (2003)
1990 – 1999
- 1998
- [j3]Jay Casper, Mark H. Carpenter:
Computational Considerations for the Simulation of Shock-Induced Sound. SIAM J. Sci. Comput. 19(3): 813-828 (1998) - 1996
- [j2]Saul Abarbanel, David I. Gottlieb, Mark H. Carpenter:
On the Removal of Boundary Errors Caused by Runge-Kutta Integration of Nonlinear Partial Differential Equations. SIAM J. Sci. Comput. 17(3): 777-782 (1996) - 1995
- [j1]Mark H. Carpenter, David I. Gottlieb, Saul Abarbanel, Wai-Sun Don:
The Theoretical Accuracy of Runge-Kutta Time Discretizations for the Initial Boundary Value Problem: A Study of the Boundary Error. SIAM J. Sci. Comput. 16(6): 1241-1252 (1995)
Coauthor Index
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