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52. Scaling Hypre’s Multigrid Solvers to 100,000 Cores

Author

Baker, Allison H., Falgout, Robert D., Kolev, Tzanio V., Yang, Ulrike Meier, Berry, Michael W., editor, Gallivan, Kyle A., editor, Gallopoulos, Efstratios, editor, Grama, Ananth, editor, Philippe, Bernard, editor, Saad, Yousef, editor, and Saied, Faisal, editor

Published
2012
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53. CEED ECP Milestone Report: Improve performance and capabilities of CEED-enabled ECP applications on Frontier/Aurora EA

Author

Kolev, Tzanio, Fischer, Paul, Abdelfattah, Ahmad, Bankole, Adeleke, Beams, Natalie, Brazell, Michael, Brown, Jed, Camier, Jean-Sylvain, Chalmers, Noel, Churchfield, Matthew, Dobrev, Veselin, Dudouit, Yohann, Ghaffari, Leila, Holmen, John, Kerkemeier, Stefan, Lan, Yu-Hsiang, Lin, Yimin, McDougall, Damon, Merzari, Elia, Min, Misun, Mittal, Ketan, Pazner, Will, Phillips, Malachi, Ratnayaka, Thilina, Rowe, Kris, Shephard, Mark S., Smith, Cameron W., Sprague, Michael, Thompson, Jeremy L., Tomboulides, Ananias, Tomov, Stanimire, Tomov, Vladimir, Warburton, Tim, and Wright III, James

Abstract

ECP Milestone Report Improve performance and capabilities of CEED-enabled ECP applications on Frontier/Aurora EA WBS 2.2.6.06, Milestone CEED-MS39

Published
2022
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55. Auxiliary Space AMG for H(curl) Problems

Author

Kolev, Tzanio V., Vassilevski, Panayot S., Barth, Timothy J., editor, Griebel, Michael, editor, Keyes, David E., editor, Nieminen, Risto M., editor, Roose, Dirk, editor, Schlick, Tamar, editor, Langer, Ulrich, editor, Discacciati, Marco, editor, Widlund, Olof B., editor, and Zulehner, Walter, editor

Published
2008
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56. CEED ECP Milestone Report: High-order algorithmic developments and optimizations for more robust exascale applications

Author

Kolev, Tzanio, Fischer, Paul, Abdelfattah, Ahmad, Beams, Natalie, Brown, Jed, Camier, Jean-Sylvain, Carson, Robert, Chalmers, Noel, Dobrev, Veselin, Dudouit, Yohann, Ghaffari, Leila, Joshi, Aditya Y., Kerkemeier, Stefan, Lan, Yu-Hsiang, McDougall, Damon, Medina, David, Min, Misun, Mishra, Abhishek, Pazner, Will, Phillips, Malachi, Ratnayaka, Thilina, Shephard, Mark S., Siboni, Morteza H., Smith, Cameron W., Thompson, Jeremy L., Tomboulides, Ananias, Tomov, Stanimire, Tomov, Vladimir, and Warburton, Tim

Abstract

ECP Milestone Report High-order algorithmic developments and optimizations for more robust exascale applications WBS 2.2.6.06, Milestone CEED-MS38

Published
2022
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58. Engage second wave ECP/CEED applications

Author

Min, Misun, primary, Camier, Jean-Sylvain, additional, Fischer, Paul, additional, Karakus, Ali, additional, Kerkemeir, Stefan, additional, Kolev, Tzanio, additional, Lan, Yu-Hsiang, additional, Medina, David, additional, Merzari, Elia, additional, Obabko, Aleks, additional, Ratnayaka, Thilina, additional, Shaver, Dillon, additional, Tomboulides, Ananias, additional, Tomov, Vladimir, additional, and Warburton, Tim, additional

Published
2018
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63. Performance tuning of CEED software and first wave apps

Author

Tomov, Stanimire, primary, Bello-Maldonado, Pedro, additional, Brown, Jed, additional, Camier, Jean-Sylvain, additional, Dobrev, Veselin, additional, Dongarra, Jack, additional, Fischer, Paul, additional, Haidar, Azzam, additional, Kolev, Tzanio, additional, Merzari, Elia, additional, Min, Misun, additional, Obabko, Aleks, additional, Parker, Scott, additional, Ratnayaka, Thilina, additional, Thompson, Jeremy, additional, Abdelfattah, Ahmad, additional, Tomov, Vladimir, additional, and Warburton, Tim, additional

Published
2018
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64. Initial CEED API (CEED-MS10)

Author

Brown, Jed, primary, Camier, Jean-Sylvain, additional, Dobrev, Veselin, additional, Fischer, Paul, additional, Kolev, Tzanio, additional, Ratnayaka, Thilina, additional, Shephard, Mark, additional, Thompson, Jeremy, additional, and Tomov, Vladimir, additional

Published
2017
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65. CEED-MS8:Initial Integration of CEED Software in ECP Applications

Author

Min, Misun, primary, Brown, Jed, additional, Dobrev, Veselin, additional, Fischer, Paul, additional, Kolev, Tzanio, additional, Medina, David, additional, Merzari, Elia, additional, Obabko, Aleks, additional, Parker, Scott, additional, Rahaman, Ron, additional, Tomov, Stanimire, additional, Tomov, Vladimir, additional, and Warburton, Tim, additional

Published
2017
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66. GPU algorithms for Efficient Exascale Discretizations

Author

Abdelfattah, Ahmad, primary, Barra, Valeria, additional, Beams, Natalie, additional, Bleile, Ryan, additional, Brown, Jed, additional, Camier, Jean-Sylvain, additional, Carson, Robert, additional, Chalmers, Noel, additional, Dobrev, Veselin, additional, Dudouit, Yohann, additional, Fischer, Paul, additional, Karakus, Ali, additional, Kerkemeier, Stefan, additional, Kolev, Tzanio, additional, Lan, Yu-Hsiang, additional, Merzari, Elia, additional, Min, Misun, additional, Phillips, Malachi, additional, Rathnayake, Thilina, additional, Rieben, Robert, additional, Stitt, Thomas, additional, Tomboulides, Ananias, additional, Tomov, Stanimire, additional, Tomov, Vladimir, additional, Vargas, Arturo, additional, Warburton, Tim, additional, and Weiss, Kenneth, additional

Published
2021
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67. CEED ECP Milestone Report: Port and optimize the CEED software stack to Aurora / Frontier EA Systems

Author

Kolev, Tzanio, Fischer, Paul, Beams, Natalie, Brown, Jed, Camier, Jean-Sylvain, Chalmers, Noel, Dobrev, Veselin, Dudouit, Yohan, Kerkemeier, Stefan, Lan, Yu-Hsiang, Lin, Yimin, Lindquist, Neil, McDougall, Damon, Medina, David, Merzari, Elia, Min, Misun, Moe, Scott, Pazner, Will, Phillips, Malachi, Ratnayaka, Thilina, Rowe, Kris, Shephard, Mark S., Smith, Cameron W., Tomov, Stanimire, and Warburton, Tim

Abstract

ECP Milestone Report Port and optimize the CEED software stack to Aurora / Frontier EA Systems WBS 2.2.6.06, Milestone CEED-MS37

Published
2021
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68. libCEED: Fast algebra for high-order element-based discretizations

Author

Brown, Jed, primary, Abdelfattah, Ahmad, additional, Barra, Valeria, additional, Beams, Natalie, additional, Camier, Jean-Sylvain, additional, Dobrev, Veselin, additional, Dudouit, Yohann, additional, Ghaffari, Leila, additional, Kolev, Tzanio, additional, Medina, David, additional, Pazner, Will, additional, Ratnayaka, Thilina, additional, Thompson, Jeremy, additional, and Tomov, Stan, additional

Published
2021
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70. CEED ECP Milestone Report: High-order algorithmic developments and optimizations for large-scale GPU-accelerated simulations

Author

Kolev, Tzanio, Fischer, Paul, Austin, Anthony P., Barker, Andrew T., Beams, Natalie, Brown, Jed, Camier, Jean-Sylvain, Chalmers, Noel, Dobrev, Veselin, Dudouit, Yohann, Ghaffari, Leila, Kerkemeier, Stefan, Lan, Yu-Hsiang, Merzari, Elia, Min, Misun, Pazner, Will, Ratnayaka, Thilina, Shephard, Mark S., Siboni, Morteza H., Smith, Cameron W., Thompson, Jeremy L., Tomov, Stanimire, and Warburton, Tim

Abstract

ECP Milestone Report High-order algorithmic developments and optimizations for large-scale GPU-accelerated simulations WBS 2.2.6.06, Milestone CEED-MS36

Published
2021
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71. libCEED User Manual

Author

Abdelfattah, Ahmad, Barra, Valeria, Beams, Natalie, Brown, Jed, Camier, Jean-Sylvain, Dobrev, Veselin, Dudouit, Yohann, Ghaffari, Leila, Kolev, Tzanio, Medina, David, Pazner, Will, Ratnayaka, Thilina, Thompson, Jeremy L, and Tomov, Stanimire

Subjects
finite element, gpu, vectorization
Abstract

Library Code for Efficient Extensible Discretization

Published
2021
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73. Efficient exascale discretizations: High-order finite element methods

Author

Kolev, Tzanio, primary, Fischer, Paul, additional, Min, Misun, additional, Dongarra, Jack, additional, Brown, Jed, additional, Dobrev, Veselin, additional, Warburton, Tim, additional, Tomov, Stanimire, additional, Shephard, Mark S, additional, Abdelfattah, Ahmad, additional, Barra, Valeria, additional, Beams, Natalie, additional, Camier, Jean-Sylvain, additional, Chalmers, Noel, additional, Dudouit, Yohann, additional, Karakus, Ali, additional, Karlin, Ian, additional, Kerkemeier, Stefan, additional, Lan, Yu-Hsiang, additional, Medina, David, additional, Merzari, Elia, additional, Obabko, Aleksandr, additional, Pazner, Will, additional, Rathnayake, Thilina, additional, Smith, Cameron W, additional, Spies, Lukas, additional, Swirydowicz, Kasia, additional, Thompson, Jeremy, additional, Tomboulides, Ananias, additional, and Tomov, Vladimir, additional

Published
2021
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76. MFEM: A modular finite element methods library

Author

Anderson, Robert, primary, Andrej, Julian, additional, Barker, Andrew, additional, Bramwell, Jamie, additional, Camier, Jean-Sylvain, additional, Cerveny, Jakub, additional, Dobrev, Veselin, additional, Dudouit, Yohann, additional, Fisher, Aaron, additional, Kolev, Tzanio, additional, Pazner, Will, additional, Stowell, Mark, additional, Tomov, Vladimir, additional, Akkerman, Ido, additional, Dahm, Johann, additional, Medina, David, additional, and Zampini, Stefano, additional

Published
2021
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77. CEED ECP Milestone Report: Support CEED-enabled ECP applications in their preparation for Aurora/Frontier

Author

Kolev, Tzanio, Fischer, Paul, Abdelfattah, Ahmad, Barra, Valeria, Beams, Natalie, Brown, Jed, Camier, Jean-Sylvain, Chalmers, Noel, Dobrev, Veselin, Kerkemeier, Stefan, Lan, Yu-Hsiang, Merzari, Elia, Min, Misun, Phillips, Malachi, Ratnayaka, Thilina, Rowe, Kris, Thompson, Jeremy, Tomboulides, Ananias, Tomov, Stanimire, Tomov, Vladimir, and Warburton, Tim

Abstract

ECP Milestone Report Support CEED-enabled ECP applications in their preparation for Aurora/Frontier WBS 2.2.6.06, Milestone CEED-MS35

Published
2020
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78. libCEED User Manual

Author

Abdelfattah, Ahmad, Barra, Valeria, Beams, Natalie, Brown, Jed, Camier, Jean-Sylvain, Dobrev, Veselin, Dudouit, Yohann, Ghaffari, Leila, Kolev, Tzanio, Medina, David, Rathnayake, Thilina, Thompson, Jeremy L, and Tomov, Stanimire

Subjects
finite element, gpu, vectorization
Abstract

Library Code for Efficient Extensible Discretization

Published
2020
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79. CEED ECP Milestone Report: Improve performance and capabilities of CEED-enabled ECP applications on Summit/Sierra

Author

Kolev, Tzanio, Fischer, Paul, Abdelfattah, Ahmad, Ananthan, Shreyas, Barra, Valeria, Beams, Natalie, Bleile, Ryan, Brown, Jed, Carson, Robert, Camier, Jean-Sylvain, Churchfield, Matthew, Dobrev, Veselin, Dongarra, Jack, Dudouit, Yohann, Karakus, Ali, Kerkemeier, Stefan, Lan, YuHsiang, Medina, David, Merzari, Elia, Min, Misun, Parker, Scott, Ratnayaka, Thilina, Smith, Cameron, Sprague, Michael, Stitt, Thomas, Thompson, Jeremy, Tomboulides, Ananias, Tomov, Stanimire, Tomov, Vladimir, Vargas, Arturo, Warburton, Tim, and Weiss, Kenneth

Abstract

ECP Milestone Report Improve performance and capabilities of CEED-enabled ECP applications on Summit/Sierra WBS 2.2.6.06, Milestone CEED-MS34

Published
2020
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80. Matrix-free subcell residual distribution for Bernstein finite elements: Monolithic limiting

Author

Hajduk, Hennes, Kuzmin, Dmitri, Kolev, Tzanio, Tomov, Vladimir, Tomas, Ignacio, and Shadid, John. N.

Subjects
high-order finite elements, advection problems, limiters, residual distribution, discrete maximum principles, Bernstein polynomials, matrix-free methods
Abstract

This paper is focused on the aspects of limiting in residual distribution (RD) schemes for high-order finite element approximations to advection problems. Both continuous and discontinuous Galerkin methods are considered in this work. Discrete maximum principles are enforced using algebraic manipula-tions of element contributions to the global nonlinear system. The required modifications can be carried out without calculating the element matrices and assembling their global counterparts. The components of element vec-tors associated with the standard Galerkin discretization are manipulated di-rectly using localized subcell weights to achieve optimal accuracy. Low-order nonlinear RD schemes of this kind were originally developed to calculate local extremum diminishing predictors for flux-corrected transport (FCT) algorithms. In the present paper, we incorporate limiters directly into the residual distribution procedure, which makes it applicable to stationary prob-lems and leads to well-posed nonlinear discrete problems. To circumvent the second-order accuracy barrier, the correction factors of monolithic limiting approaches and FCT schemes are adjusted using smoothness sensors based on second derivatives. The convergence behavior of presented methods is illustrated by numerical studies for two-dimensional test problems, Ergebnisberichte des Instituts für Angewandte Mathematik;621

Published
2019

85. Scalability of high-performance PDE solvers

Author

Fischer, Paul, primary, Min, Misun, additional, Rathnayake, Thilina, additional, Dutta, Som, additional, Kolev, Tzanio, additional, Dobrev, Veselin, additional, Camier, Jean-Sylvain, additional, Kronbichler, Martin, additional, Warburton, Tim, additional, Świrydowicz, Kasia, additional, and Brown, Jed, additional

Published
2020
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86. Preparation and optimization of a diverse workload for a large-scale heterogeneous system

Author

Karlin, Ian, primary, Park, Yoonho, additional, de Supinski, Bronis R., additional, Wang, Peng, additional, Still, Bert, additional, Beckingsale, David, additional, Blake, Robert, additional, Chen, Tong, additional, Cong, Guojing, additional, Costa, Carlos, additional, Dahm, Johann, additional, Domeniconi, Giacomo, additional, Epperly, Thomas, additional, Fisher, Aaron, additional, Kokkila-Schumacher, Sara, additional, Langer, Steven, additional, Le, Hai, additional, Lee, Eun Kyung, additional, Maruyama, Naoya, additional, Que, Xinyu, additional, Richards, David, additional, Sjogreen, Bjorn, additional, Wong, Jonathan, additional, Woodward, Carol, additional, Yang, Ulrike, additional, Zhang, Xiaohua, additional, Anderson, Bob, additional, Appelhans, David, additional, Barnes, Levi, additional, Barnes, Peter, additional, Bastea, Sorin, additional, Boehme, David, additional, Bramwell, Jamie A., additional, Brase, Jim, additional, Brunheroto, Jose, additional, Chen, Barry, additional, Cooper, Charway R., additional, DeGroot, Tony, additional, Falgout, Rob, additional, Gamblin, Todd, additional, Gardner, David, additional, Glosli, James, additional, Gunnels, John, additional, Katz, Max, additional, Kolev, Tzanio, additional, Kuo, I-Feng W., additional, Legendre, Matthew P., additional, Li, Ruipeng, additional, Lin, Pei-Hung, additional, Lockhart, Shelby, additional, McCandless, Kathleen, additional, Misale, Claudia, additional, Moreno, Jaime, additional, Neely, Rob, additional, Nelson, Jarom, additional, Nimmakayala, Rao, additional, O'Brien, Kathryn, additional, O'Brien, Kevin, additional, Pankajakshan, Ramesh, additional, Pearce, Roger, additional, Peles, Slaven, additional, Regier, Phil, additional, Rennich, Steve, additional, Schulz, Martin, additional, Scott, Howard, additional, Sexton, James, additional, Shoga, Kathleen, additional, Sundram, Shiv, additional, Thomas-Collignon, Guillaume, additional, Van Essen, Brian, additional, Voronin, Alexey, additional, Walkup, Bob, additional, Wang, Lu, additional, Ward, Chris, additional, Wen, Hui-Fang, additional, White, Dan, additional, Young, Christopher, additional, Zeller, Cyril, additional, and Zywicz, Ed, additional

Published
2019
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88. CEED ECP Milestone Report: Public release of CEED 2.0

Author

Brown, Jed, Abdelfattah, Ahmad, Barra, Valeria, Dobrev, Veselin, Dudouit, Yohann, Fischer, Paul, Kolev, Tzanio, Medina, David, Min, Misun, Ratnayaka, Thilina, Smith, Cameron, Thompson, Jeremy, Tomov, Stanimire, Tomov, Vladimir, and Warburton, Tim

Abstract

ECP Milestone Report Public release of CEED 2.0 WBS 2.2.6.06, Milestone CEED-MS25

Published
2019
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89. CEED ECP Milestone Report: Engage second wave ECP/CEED applications

Author

Min, Misun, Camier, Jean-Sylvain, Fischer, Paul, Karakus, Ali, Kerkemeier, Stefan, Kolev, Tzanio, Lan, Yu-Hsiang, Medina, David, Merzari, Elia, Obabko, Aleks, Ratnayaka, Thilina, Shaver, Dillon, Tomboulides, Ananias, Tomov, Vladimir, and Warburton, Tim

Abstract

ECP Milestone Report Engage second wave ECP/CEED applications WBS 2.2.6.06, Milestone CEED-MS23

Published
2019
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90. Matrix-free subcell residual distribution for Bernstein finite elements: Low-order schemes and FCT

Author

Hajduk, Hennes, Kuzmin, Dmitri, Kolev, Tzanio, and Abgrall, Remi

Subjects
Bernstein finite elements, flux-corrected transport, residual distribution, discrete maximum principles, advection equation, matrix-free methods
Abstract

In this work, we introduce a new residual distribution (RD) framework for the design of matrix-free bound-preserving finite element schemes. As a starting point, we consider continuous and discontinuous Galerkin discretizations of the linear advection equation. To construct the corresponding local extremum diminishing (LED) approximation, we perform mass lumping and redistribute the element residuals in a manner which guarantees the LED property. The hierarchical correction procedure for high-order Bernstein finite element discretizations involves localization to subcells and definition of bound-preserving weights for subcell contributions. Using strong stability preserving (SSP) Runge-Kutta methods for time integration, we prove the validity of discrete maximum principles under CFL-like time step restrictions. The low-order version of our method has roughly the same accuracy as the one derived from a piecewise (multi)-linear approximation on a submesh with the same nodal points. In high-order extensions, we currently use a flux-corrected transport (FCT) algorithm which can also be interpreted as a nonlinear RD scheme. The properties of the algebraically corrected Galerkin discretizations are illustrated by 1D, 2D, and 3D examples for Bernstein finite elements of different order. The results are as good as those obtained with the best matrix-based approaches. In our numerical studies for multidimensional problems, we use quadrilateral/hexahedral meshes but our methodology is readily applicable to unstructured/simplicial meshes as well., Ergebnisberichte des Instituts für Angewandte Mathematik;598

Published
2019
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91. Algorithms and Abstractions for Assembly in PDE Codes: Workshop Report

Author

Cyr, Eric C., primary, Phipps, Eric Todd, additional, Heroux, Michael Allen, additional, Hoemmen, Mark Frederick, additional, Trott, Christian Robert, additional, Brown, Jed, additional, Coon, Ethan T., additional, Kirby, Robert C., additional, Kolev, Tzanio V., additional, and Sutherland, James C., additional

Published
2014
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92. CEED ECP Milestone Report: Performance tuning of CEED software and first wave apps

Author

Tomov, Stanimire, Bello-Maldonado, Pedro, Brown, Jed, Camier, Jean-Sylvain, Dobrev, Veselin, Dongarr, Jack, Fischer, Paul, Haidar, Azzam, Kolev, Tzanio, Merzari, Elia, Min, Misun, Obabko, Aleks, Parker, Scott, Ratnayaka, Thilina, Thompson, Jeremy, Abdelfattah, Ahmad, Tomov, Vladimir, and Warburton, Tim

Abstract

ECP Milestone Report Performance tuning of CEED software and first wave apps WBS 2.2.6.06, Milestone CEED-MS20

Published
2018
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93. CEED ECP Milestone Report: Propose high-order mesh/data format

Author

Brown, Jed, Dobrev, Veselin, Dutta, Som, Fischer, Paul, Kamran, Kazem, Kolev, Tzanio, Medina, David, Min, Misun', Ratnayaka, Thilina, Shephard, Mark, Smith, Cameron, and Thompson, Jeremy

Abstract

ECP Milestone Report Propose high-order mesh/data format WBS 2.2.6.06, Milestone CEED-MS18

Published
2018
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96. CEED ECP Milestone Report: Initial CEED API

Author

Brown, Jed, Camier, Jean-Sylvain, Dobrev, Veselin, Fischer, Paul, Kolev, Tzanio, Ratnayaka, Thilina', Shephard, Mark, Thompson, Jeremy, and Tomov, Vladimir

Abstract

ECP Milestone Report Initial CEED API WBS 2.2.6.06, Milestone CEED-MS10

Published
2017
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98. Matrix‐free preconditioning for high‐order H(curl) discretizations.

Author

Barker, Andrew T. and Kolev, Tzanio

Subjects
*POLYNOMIAL operators, *TWO-dimensional models, *ARITHMETIC, *MAXWELL equations, *GEOMETRY, *QUADRILATERALS
Abstract

The greater arithmetic intensity of high‐order finite element discretizations makes them attractive for implementation on next‐generation hardware, but assembly of high‐order finite element operators as matrices is prohibitively expensive. As a result, the development of general algebraic solvers for such operators has been an open research challenge. Fast matrix‐free application of high‐order operators has received significant attention in the literature in the context of Poisson‐type problems, but preconditioners and solvers for inverting more general operators are not very well‐developed. In this paper, we consider the problem of preconditioning a definite Maxwell operator at high polynomial order without assembling a matrix. We show that given efficient preconditioners for high‐order H1 finite element problems on the same mesh, efficient H(curl) preconditioners can be constructed in an auxiliary space framework. We demonstrate the resulting preconditioners in a practical setting with tensor‐product basis functions on an unstructured mesh of quadrilaterals. Our approach uses a sparsified H1 solver constructed on a low‐order mesh of the nodal points of the underlying high‐order space, and we show that the resulting H(curl) preconditioner is effective at very high polynomial orders for two‐dimensional model problems with complicated geometry, varying piecewise constant coefficients, and curved elements. The resulting preconditioner scales with nearly optimal O(pd + 1) floating point operation count and optimal O(pd) memory transfer requirements, outperforming existing Maxwell preconditioners in the high‐order regime. [ABSTRACT FROM AUTHOR]

Published
2021
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100. Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations

Author

Dobrev, Veselin A., Kolev, Tzanio, Kuzmin, Dmitri, Rieben, Robert N., and Tomov, Vladimir Zdravkov

Subjects
Finite element methods, Positivity preservation, Systems of conservation laws, Local maximum principles, Limiting techniques
Abstract

We present a new approach to enforcing local maximum principles in finite element schemes for the compressible Euler equations. In contrast to synchronized limiting techniques for systems of conservation laws, the density, momentum, and total energy are constrained in a sequential manner which guarantees positivity preservation for the pressure and internal energy. After the density limiting step, the total energy and momentum are adjusted to incorporate the irreversible effect of density changes. Then the corresponding antidiffusive corrections are limited to satisfy inequality constraints for the total and kinetic energy. The same element-based limiting strategy is employed in the context of continuous and discontinuous Galerkin methods. The sequential nature of the new limiting procedure makes it possible to achieve crisp resolution of contact discontinuities while using sharp local bounds in the energy constraints. A numerical study is performed for piecewise-linear finite element discretizations of 1D and 2D test problems., Ergebnisberichte des Instituts für Angewandte Mathematik;569

Published
2017

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