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Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT).
Veselin Dobrev, Tzanio V. Kolev, N. Anders Petersson, Jacob B. Schroder: Two-Level Convergence Theory for Multigrid Reduction in Time (MGRIT). SIAM J. Sci. Comput. 39(5) (2017)
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High-order local maximum principle preserving (MPP) discontinuous Galerkin...
Robert W. Anderson, Veselin Dobrev, Tzanio V. Kolev, Dmitri Kuzmin, Manuel Quezada de Luna, Robert N. Rieben, Vladimir Z. Tomov: High-order local maximum principle preserving (MPP) discontinuous...
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Multigrid methods with space-time concurrency.
Robert D. Falgout, Stephanie Friedhoff, Tzanio V. Kolev, Scott P. MacLachlan, Jacob B. Schroder, Stefan Vandewalle: Multigrid methods with space-time concurrency. Comput. Vis. Sci. 18(4-5): 123-143 (2017)
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Towards Simulation-Driven Optimization of High-Order Meshes by the...
Veselin Dobrev, Patrick Knupp, Tzanio V. Kolev, Vladimir Z. Tomov: Towards Simulation-Driven Optimization of High-Order Meshes by the Target-Matrix Optimization Paradigm. IMR 2018: 285-302
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A Scalable Preconditioner for a Primal Discontinuous Petrov-Galerkin Method.
Andrew T. Barker, Veselin Dobrev, Jayadeep Gopalakrishnan, Tzanio V. Kolev: A Scalable Preconditioner for a Primal Discontinuous Petrov-Galerkin Method. SIAM J. Sci. Comput. 40(2) (2018)
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High-Order Multi-Material ALE Hydrodynamics.
Robert W. Anderson, Veselin A. Dobrev, Tzanio V. Kolev, Robert N. Rieben, Vladimir Z. Tomov: High-Order Multi-Material ALE Hydrodynamics. SIAM J. Sci. Comput. 40(1) (2018)
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Sequential limiting in continuous and discontinuous Galerkin methods for the...
Veselin Dobrev, Tzanio V. Kolev, Dmitri Kuzmin, Robert N. Rieben, Vladimir Z. Tomov: Sequential limiting in continuous and discontinuous Galerkin methods for the Euler equations. J. Comput. Phys. 356:...
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MFEM: a modular finite element methods library.
Robert W. Anderson, Julian Andrej, Andrew T. Barker, Jamie A. Bramwell, Jean-Sylvain Camier, Jakub Cervený, Veselin Dobrev, Yohann Dudouit, Aaron Fisher, Tzanio V. Kolev, Will Pazner, Mark Stowell,...
View ArticleNon-Conforming Mesh Refinement for High-Order Finite Elements.
Jakub Cervený, Veselin Dobrev, Tzanio V. Kolev: Non-Conforming Mesh Refinement for High-Order Finite Elements. CoRR abs/1905.04033 (2019)
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Preparation and optimization of a diverse workload for a large-scale...
Ian Karlin, Yoonho Park, Bronis R. de Supinski, Peng Wang, Bert Still, David Beckingsale, Robert Blake, Tong Chen, Guojing Cong, Carlos H. A. Costa, Johann Dahm, Giacomo Domeniconi, Thomas Epperly,...
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Nonconforming Mesh Refinement for High-Order Finite Elements.
Jakub Cervený, Veselin Dobrev, Tzanio V. Kolev: Nonconforming Mesh Refinement for High-Order Finite Elements. SIAM J. Sci. Comput. 41(4): C367-C392 (2019)
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Algebraic Hybridization and Static Condensation with Application to Scalable...
Veselin Dobrev, Tzanio V. Kolev, Chak Shing Lee, Vladimir Z. Tomov, Panayot S. Vassilevski: Algebraic Hybridization and Static Condensation with Application to Scalable H(div) Preconditioning. SIAM J....
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The Target-Matrix Optimization Paradigm for High-Order Meshes.
Veselin Dobrev, Patrick Knupp, Tzanio V. Kolev, Ketan Mittal, Vladimir Z. Tomov: The Target-Matrix Optimization Paradigm for High-Order Meshes. SIAM J. Sci. Comput. 41(1): B50-B68 (2019)
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hr-adaptivity for nonconforming high-order meshes with the target matrix...
Veselin Dobrev, Patrick Knupp, Tzanio V. Kolev, Ketan Mittal, Vladimir Z. Tomov: hr-adaptivity for nonconforming high-order meshes with the target matrix optimization paradigm. CoRR abs/2010.02166 (2020)
View ArticleUniform subspace correction preconditioners for discontinuous Galerkin...
Will Pazner, Tzanio V. Kolev: Uniform subspace correction preconditioners for discontinuous Galerkin methods with hp-refinement. CoRR abs/2009.01287 (2020)
View ArticleScalability of High-Performance PDE Solvers.
Paul F. Fischer, Misun Min, Thilina Rathnayake, Som Dutta, Tzanio V. Kolev, Veselin Dobrev, Jean-Sylvain Camier, Martin Kronbichler, Tim Warburton, Kasia Swirydowicz, Jed Brown: Scalability of...
View ArticleSimulation-Driven Optimization of High-Order Meshes in ALE Hydrodynamics.
Veselin Dobrev, Patrick Knupp, Tzanio V. Kolev, Ketan Mittal, Robert N. Rieben, Vladimir Z. Tomov: Simulation-Driven Optimization of High-Order Meshes in ALE Hydrodynamics. CoRR abs/2001.11536 (2020)
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High-Order Finite Element Method using Standard and Device-Level Batch GEMM...
Natalie Beams, Ahmad Abdelfattah, Stan Tomov, Jack J. Dongarra, Tzanio V. Kolev, Yohann Dudouit: High-Order Finite Element Method using Standard and Device-Level Batch GEMM on GPUs. ScalA@SC 2020: 53-60
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Scalability of high-performance PDE solvers.
Paul F. Fischer, Misun Min, Thilina Rathnayake, Som Dutta, Tzanio V. Kolev, Veselin Dobrev, Jean-Sylvain Camier, Martin Kronbichler, Timothy C. Warburton, Kasia Swirydowicz, Jed Brown: Scalability of...
View ArticleMatrix-free approaches for GPU acceleration of a high-order finite element...
Arturo Vargas, Thomas M. Stitt, Kenneth Weiss, Vladimir Z. Tomov, Jean-Sylvain Camier, Tzanio V. Kolev, Robert N. Rieben: Matrix-free approaches for GPU acceleration of a high-order finite element...
View ArticleGPU Algorithms for Efficient Exascale Discretizations.
Ahmad Abdelfattah, Valeria Barra, Natalie Beams, Ryan Bleile, Jed Brown, Jean-Sylvain Camier, Robert Carson, Noel Chalmers, Veselin Dobrev, Yohann Dudouit, Paul F. Fischer, Ali Karakus, Stefan...
View ArticleEfficient Exascale Discretizations: High-Order Finite Element Methods.
Tzanio V. Kolev, Paul F. Fischer, Misun Min, Jack J. Dongarra, Jed Brown, Veselin Dobrev, Tim Warburton, Stanimire Tomov, Mark S. Shephard, Ahmad Abdelfattah, Valeria Barra, Natalie Beams, Jean-Sylvain...
View ArticleAn adaptive scalable fully implicit algorithm based on stabilized finite...
Qi Tang, Luis Chacón, Tzanio V. Kolev, John N. Shadid, Xian-Zhu Tang: An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD. CoRR...
View ArticleAdaptive Surface Fitting and Tangential Relaxation for High-Order Mesh...
Patrick Knupp, Tzanio V. Kolev, Ketan Mittal, Vladimir Z. Tomov: Adaptive Surface Fitting and Tangential Relaxation for High-Order Mesh Optimization. CoRR abs/2105.12165 (2021)
View ArticleConservative and accurate solution transfer between high-order and low-order...
Tzanio V. Kolev, Will Pazner: Conservative and accurate solution transfer between high-order and low-order refined finite element spaces. CoRR abs/2103.05283 (2021)
View ArticleReinforcement Learning for Adaptive Mesh Refinement.
Jiachen Yang, Tarik Dzanic, Brenden K. Petersen, Jun Kudo, Ketan Mittal, Vladimir Z. Tomov, Jean-Sylvain Camier, Tuo Zhao, Hongyuan Zha, Tzanio V. Kolev, Robert W. Anderson, Daniel M. Faissol:...
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Conservative High-Order Time Integration for Lagrangian Hydrodynamics.
Adrian Sandu, Vladimir Z. Tomov, Lenka Cervená, Tzanio V. Kolev: Conservative High-Order Time Integration for Lagrangian Hydrodynamics. SIAM J. Sci. Comput. 43(1): A221-A241 (2021)
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GPU algorithms for Efficient Exascale Discretizations.
Ahmad Abdelfattah, Valeria Barra, Natalie Beams, Ryan Bleile, Jed Brown, Jean-Sylvain Camier, Robert Carson, Noel Chalmers, Veselin Dobrev, Yohann Dudouit, Paul F. Fischer, Ali Karakus, Stefan...
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Matrix-free preconditioning for high-order H(curl) discretizations.
Andrew T. Barker, Tzanio V. Kolev: Matrix-free preconditioning for high-order H(curl) discretizations. Numer. Linear Algebra Appl. 28(2) (2021)
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libCEED: Fast algebra for high-order element-based discretizations.
Jed Brown, Ahmad Abdelfattah, Valeria Barra, Natalie N. Beams, Jean-Sylvain Camier, Veselin Dobrev, Yohann Dudouit, Leila Ghaffari, Tzanio V. Kolev, David S. Medina, Will Pazner, Thilina Rathnayake,...
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Efficient exascale discretizations: High-order finite element methods.
Tzanio V. Kolev, Paul F. Fischer, Misun Min, Jack J. Dongarra, Jed Brown, Veselin Dobrev, Tim Warburton, Stanimire Tomov, Mark S. Shephard, Ahmad Abdelfattah, Valeria Barra, Natalie Beams, Jean-Sylvain...
View ArticleClik here to view.
MFEM: A modular finite element methods library.
Robert W. Anderson, Julian Andrej, Andrew T. Barker, Jamie A. Bramwell, Jean-Sylvain Camier, Jakub Cervený, Veselin Dobrev, Yohann Dudouit, Aaron Fisher, Tzanio V. Kolev, Will Pazner, Mark Stowell,...
View ArticleEnd-to-end GPU acceleration of low-order-refined preconditioning for...
Will Pazner, Tzanio V. Kolev, Jean-Sylvain Camier: End-to-end GPU acceleration of low-order-refined preconditioning for high-order finite element discretizations. CoRR abs/2210.12253 (2022)
View ArticleImplicit High-Order Meshing using Boundary and Interface Fitting.
Jorge-Luis Barrera, Tzanio V. Kolev, Ketan Mittal, Vladimir Z. Tomov: Implicit High-Order Meshing using Boundary and Interface Fitting. CoRR abs/2208.05062 (2022)
View ArticleAccelerating High-Order Mesh Optimization Using Finite Element Partial...
Jean-Sylvain Camier, Veselin Dobrev, Patrick Knupp, Tzanio V. Kolev, Ketan Mittal, Robert N. Rieben, Vladimir Z. Tomov: Accelerating High-Order Mesh Optimization Using Finite Element Partial Assembly...
View ArticleLow-order preconditioning for the high-order finite element de Rham complex.
Will Pazner, Tzanio V. Kolev, Clark R. Dohrmann: Low-order preconditioning for the high-order finite element de Rham complex. CoRR abs/2203.02465 (2022)
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Conservative and Accurate Solution Transfer Between High-Order and Low-Order...
Tzanio V. Kolev, Will Pazner: Conservative and Accurate Solution Transfer Between High-Order and Low-Order Refined Finite Element Spaces. SIAM J. Sci. Comput. 44(1): 1- (2022)
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An adaptive scalable fully implicit algorithm based on stabilized finite...
Qi Tang, Luis Chacón, Tzanio V. Kolev, John N. Shadid, Xian-Zhu Tang: An adaptive scalable fully implicit algorithm based on stabilized finite element for reduced visco-resistive MHD. J. Comput. Phys....
View ArticleClik here to view.
Matrix-free approaches for GPU acceleration of a high-order finite element...
Arturo Vargas, Thomas M. Stitt, Kenneth Weiss, Vladimir Z. Tomov, Jean-Sylvain Camier, Tzanio V. Kolev, Robert N. Rieben: Matrix-free approaches for GPU acceleration of a high-order finite element...
View ArticleClik here to view.
hr-Adaptivity for nonconforming high-order meshes with the target matrix...
Veselin Dobrev, Patrick Knupp, Tzanio V. Kolev, Ketan Mittal, Vladimir Z. Tomov: hr-Adaptivity for nonconforming high-order meshes with the target matrix optimization paradigm. Eng. Comput. 38(4):...
View ArticleMatrix-free GPU-accelerated saddle-point solvers for high-order problems in...
Will Pazner, Tzanio V. Kolev, Panayot S. Vassilevski: Matrix-free GPU-accelerated saddle-point solvers for high-order problems in H(div). CoRR abs/2304.12387 (2023)
View ArticleReinforcement Learning for Adaptive Mesh Refinement.
Jiachen Yang, Tarik Dzanic, Brenden K. Petersen, Jun Kudo, Ketan Mittal, Vladimir Z. Tomov, Jean-Sylvain Camier, Tuo Zhao, Hongyuan Zha, Tzanio V. Kolev, Robert W. Anderson, Daniel M. Faissol:...
View ArticleClik here to view.
Low-Order Preconditioning for the High-Order Finite Element de Rham Complex.
Will Pazner, Tzanio V. Kolev, Clark R. Dohrmann: Low-Order Preconditioning for the High-Order Finite Element de Rham Complex. SIAM J. Sci. Comput. 45(2): 675- (2023)
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Accelerating high-order mesh optimization using finite element partial...
Jean-Sylvain Camier, Veselin Dobrev, Patrick Knupp, Tzanio V. Kolev, Ketan Mittal, Robert N. Rieben, Vladimir Z. Tomov: Accelerating high-order mesh optimization using finite element partial assembly...
View ArticleClik here to view.
End-to-end GPU acceleration of low-order-refined preconditioning for...
Will Pazner, Tzanio V. Kolev, Jean-Sylvain Camier: End-to-end GPU acceleration of low-order-refined preconditioning for high-order finite element discretizations. Int. J. High Perform. Comput. Appl....
View ArticleClik here to view.
High-Order Mesh Morphing for Boundary and Interface Fitting to Implicit...
Jorge-Luis Barrera, Tzanio V. Kolev, Ketan Mittal, Vladimir Z. Tomov: High-Order Mesh Morphing for Boundary and Interface Fitting to Implicit Geometries. Comput. Aided Des. 158: 103499 (2023)
View ArticleHigh-performance finite elements with MFEM.
Julian Andrej, Nabil M. Atallah, Jan-Phillip Bäcker, John Camier, Dylan Copeland, Veselin Dobrev, Yohann Dudouit, Tobias Duswald, Brendan Keith, Dohyun Kim, Tzanio V. Kolev, Boyan Lazarov, Ketan...
View ArticleMixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit...
Ketan Mittal, Veselin A. Dobrev, Patrick Knupp, Tzanio V. Kolev, Franck Ledoux, Claire Roche, Vladimir Z. Tomov: Mixed-Order Meshes through rp-adaptivity for Surface Fitting to Implicit Geometries....
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Matrix-Free High-Performance Saddle-Point Solvers for High-Order Problems in...
Will Pazner, Tzanio V. Kolev, Panayot S. Vassilevski: Matrix-Free High-Performance Saddle-Point Solvers for High-Order Problems in \(\boldsymbol{H}(\operatorname{\textbf{div}})\). SIAM J. Sci. Comput....
View ArticleAn adaptive Newton-based free-boundary Grad-Shafranov solver.
Daniel A. Serino, Qi Tang, Xian-Zhu Tang, Tzanio V. Kolev, Konstantin Lipnikov: An adaptive Newton-based free-boundary Grad-Shafranov solver. CoRR abs/2407.03499 (2024)
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