Mark H. Carpenter

Publication Activity (10 Years)

Years Active: 1995-2024
Publications (10 Years): 24

Top Topics

Hamilton Jacobi

Finite Difference

Boundary Conditions

Top Venues

J. Comput. Phys.

SIAM J. Sci. Comput.

J. Sci. Comput.

Publications

Viktor Linders, Mark H. Carpenter, Jan Nordström
A superconvergent stencil-adaptive SBP-SAT finite difference scheme. J. Comput. Phys. 501 (2024)
Viktor Linders, Mark H. Carpenter, Jan Nordström
A superconvergent stencil-adaptive SBP-SAT finite difference scheme. CoRR (2023)
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) (2022)
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 (2022)
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 (2021)
Viktor Linders, Mark H. Carpenter, Jan Nordström
Accurate solution-adaptive finite difference schemes for coarse and fine grids. J. Comput. Phys. 410 (2020)
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) (2019)
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 (2019)
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 (2019)
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 (2019)
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)
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 (2019)
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)
Jesse Chan, David C. Del Rey Fernández, Mark H. Carpenter
Efficient Entropy Stable Gauss Collocation Methods. SIAM J. Sci. Comput. 41 (5) (2019)
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) (2019)
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 (2019)
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) (2018)
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 (2018)
Magnus Svärd, Mark H. Carpenter, Matteo Parsani
Entropy Stability and the No-Slip Wall Boundary Condition. SIAM J. Numer. Anal. 56 (1) (2018)
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 (2017)
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 (2017)
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)
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 (2015)
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 (2015)
Ken Mattsson, Martin Almquist, Mark H. Carpenter
Optimal diagonal-norm SBP operators. J. Comput. Phys. 264 (2014)
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)
Travis C. Fisher, Mark H. Carpenter
High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains. J. Comput. Phys. 252 (2013)
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 (2013)
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) (2011)
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) (2010)
Ken Mattsson, Mark H. Carpenter
Stable and Accurate Interpolation Operators for High-Order Multiblock Finite Difference Methods. SIAM J. Sci. Comput. 32 (4) (2010)
Nail K. Yamaleev, Mark H. Carpenter
A systematic methodology for constructing high-order energy stable WENO schemes. J. Comput. Phys. 228 (11) (2009)
Nail K. Yamaleev, Mark H. Carpenter
Third-order Energy Stable WENO scheme. J. Comput. Phys. 228 (8) (2009)
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) (2007)
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) (2007)
Alex Kanevsky, Mark H. Carpenter, Jan S. Hesthaven
Idempotent filtering in spectral and spectral element methods. J. Comput. Phys. 220 (1) (2006)
Mark H. Carpenter, David I. Gottlieb, Jan S. Hesthaven, Chi-Wang Shu
Foreword. J. Sci. Comput. 25 (1-2) (2005)
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) (2005)
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) (2003)
Jay Casper, Mark H. Carpenter
Computational Considerations for the Simulation of Shock-Induced Sound. SIAM J. Sci. Comput. 19 (3) (1998)
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) (1996)
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) (1995)