Edit Profile (opens in new tab) Knepley, Matthew G. Co-Author Distance Author ID: knepley.matthew-g Published as: Knepley, Matthew G.; Knepley, M. G.; Knepley, Matthew; Knepley, Matt more...less External Links: ORCID Documents Indexed: 37 Publications since 2005, including 10 Additional arXiv Preprints Co-Authors: 68 Co-Authors with 37 Joint Publications 988 Co-Co-Authors all top 5 Co-Authors 0 single-authored 7 Bardhan, Jaydeep P. 5 Adams, Mark F. 4 Barba, Lorena A. 4 Fabien, Maurice S. 4 Rivière, Beatrice M. 3 Brown, Jed 3 Brune, Peter R. 3 Gorman, Gerard J. 3 Lange, Michael 3 Mills, Richard Tran 3 Scott, Larkin Ridgway 2 Chang, Justin 2 Cruz, Felipe A. 2 Kirby, Robert C. 2 Mitchell, Lawrence 2 Pusztay, Joseph V. 2 Smith, Barry F. 2 Terrel, Andy R. 2 Yokota, Rio 1 Actor, Jonas A. 1 Afanasiev, Michael 1 Ahmadia, Aron J. 1 Alghamdi, Amal 1 Barra, Valeria 1 Barral, Nicolas 1 Beams, Natalie N. 1 Bhalla, Amneet Pal Singh 1 Böhm, Christian 1 De Luna, Manuel Quezada 1 Emmett, Matthew 1 Farrell, Patrick Emmet 1 Fichtner, Andreas 1 Finn, Daniel S. 1 Ghaffari, Leila 1 Griffith, Boyce E. 1 Guy, Robert D. 1 Hamada, Tsuyoshi 1 Hapla, Vaclav 1 Hirvijoki, Eero 1 Isaac, Tobin 1 Joshaghani, M. S. 1 Katz, Richard F. 1 Ketcheson, David I. 1 Klotz, Thomas S. 1 Kreienkamp, Amelia B. 1 Krischer, Lion 1 Liu, Lucy Y. 1 Logg, Anders 1 Mandli, Kyle T. 1 Minkara, Mona S. 1 Mishra, Abhishek C. 1 Moses, William K. jun. 1 Nakshatrala, Kalyana B. 1 Parsani, Matteo 1 Piggott, Matthew D. 1 Radhakrishnan, Mala L. 1 Salac, David 1 Samtaney, Ravi 1 Shakeri, Rezgar 1 Stengel, Karen 1 Tabrizi, Amirhossein Molavi 1 Thompson, Jeremy L. 1 Thompson, Travis B. 1 Timalsina, Aman 1 Tu, Xuemin 1 van Driel, Martin 1 Wechsung, Florian 1 Zhang, Junchao all top 5 Serials 10 SIAM Journal on Scientific Computing 2 ACM Transactions on Mathematical Software 2 Molecular Based Mathematical Biology 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Computational Physics 1 BIT 1 International Journal for Numerical Methods in Engineering 1 SIAM Review 1 Journal of Numerical Mathematics 1 Mathematical Medicine and Biology 1 Communications in Applied Mathematics and Computational Science 1 Results in Applied Mathematics all top 5 Fields 21 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Optics, electromagnetic theory (78-XX) 3 Biology and other natural sciences (92-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 Combinatorics (05-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 217 times in 199 Documents Cited by ▼ Year ▼ Composing scalable nonlinear algebraic solvers. Zbl 1336.65030 Brune, Peter R.; Knepley, Matthew G.; Smith, Barry F.; Tu, Xuemin 62 2015 PetRBF - A parallel \(O(N)\) algorithm for radial basis function interpolation with Gaussians. Zbl 1231.65026 Yokota, Rio; Barba, L. A.; Knepley, Matthew G. 23 2010 Pyclaw: accessible, extensible, scalable tools for wave propagation problems. Zbl 1253.65220 Ketcheson, David I.; Mandli, Kyle; Ahmadia, Aron J.; Alghamdi, Amal; De Luna, Manuel Quezada; Parsani, Matteo; Knepley, Matthew G.; Emmett, Matthew 20 2012 Biomolecular electrostatics using a fast multipole BEM on up to 512 GPUs and a billion unknowns. Zbl 1259.78044 Yokota, Rio; Bardhan, Jaydeep P.; Knepley, Matthew G.; Barba, L. A.; Hamada, Tsuyoshi 19 2011 PCPATCH. Software for the topological construction of multigrid relaxation methods. Zbl 07467956 Farrell, Patrick E.; Knepley, Matthew G.; Mitchell, Lawrence; Wechsung, Florian 15 2021 Efficient mesh management in firedrake using PETSc DMPlex. Zbl 1352.65613 Lange, Michael; Mitchell, Lawrence; Knepley, Matthew G.; Gorman, Gerard J. 11 2016 Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method. Zbl 1412.65129 Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.; Rivière, Béatrice M. 11 2019 Finite element integration on GPGPUs. Zbl 1298.65176 Knepley, Matthew G.; Terrel, Andy R. 10 2013 Optimizing the evaluation of finite element matrices. Zbl 1091.65114 Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway 9 2005 Unstructured geometric multigrid in two and three dimensions on complex and graded meshes. Zbl 1264.65203 Brune, Peter R.; Knepley, Matthew G.; Scott, Larkin Ridgway 7 2013 PetFMM – a dynamically load-balancing parallel fast multipole library. Zbl 1217.70005 Cruz, Felipe A.; Knepley, Matthew G.; Barba, L. A. 6 2011 A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. Zbl 1508.65128 Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice 5 2020 Comparative study of finite element methods using the time-accuracy-size (TAS) spectrum analysis. Zbl 1417.65224 Chang, Justin; Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T. 5 2018 Segmental refinement: a multigrid technique for data locality. Zbl 1375.65167 Adams, Mark F.; Brown, Jed; Knepley, Matt; Samtaney, Ravi 3 2016 Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336 Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M. 3 2020 Composable block solvers for the four-field double porosity/permeability model. Zbl 1452.76090 Joshaghani, M. S.; Chang, J.; Nakshatrala, K. B.; Knepley, M. G. 3 2019 An implicit discontinuous Galerkin method for modeling acute edema and resuscitation in the small intestine. Zbl 1501.92018 Thompson, Travis B.; Riviere, Beatrice M.; Knepley, Matthew G. 2 2019 Automated FEM discretizations for the Stokes equation. Zbl 1143.76037 Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C. 1 2008 Fully parallel mesh I/O using PETSc DMPlex with an application to waveform modeling. Zbl 1462.65005 Hapla, Vaclav; Knepley, Matthew G.; Afanasiev, Michael; Boehm, Christian; van Driel, Martin; Krischer, Lion; Fichtner, Andreas 1 2021 Conservative projection between finite element and particle bases. Zbl 1492.65346 Pusztay, Joseph V.; Knepley, Matthew G.; Adams, Mark F. 1 2022 Conservative projection between finite element and particle bases. Zbl 1492.65346 Pusztay, Joseph V.; Knepley, Matthew G.; Adams, Mark F. 1 2022 PCPATCH. Software for the topological construction of multigrid relaxation methods. Zbl 07467956 Farrell, Patrick E.; Knepley, Matthew G.; Mitchell, Lawrence; Wechsung, Florian 15 2021 Fully parallel mesh I/O using PETSc DMPlex with an application to waveform modeling. Zbl 1462.65005 Hapla, Vaclav; Knepley, Matthew G.; Afanasiev, Michael; Boehm, Christian; van Driel, Martin; Krischer, Lion; Fichtner, Andreas 1 2021 A high order hybridizable discontinuous Galerkin method for incompressible miscible displacement in heterogeneous media. Zbl 1508.65128 Fabien, Maurice S.; Knepley, Matthew; Riviere, Beatrice 5 2020 Families of interior penalty hybridizable discontinuous Galerkin methods for second order elliptic problems. Zbl 1452.65336 Fabien, Maurice S.; Knepley, Matthew G.; Riviere, Beatrice M. 3 2020 Manycore parallel computing for a hybridizable discontinuous Galerkin nested multigrid method. Zbl 1412.65129 Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T.; Rivière, Béatrice M. 11 2019 Composable block solvers for the four-field double porosity/permeability model. Zbl 1452.76090 Joshaghani, M. S.; Chang, J.; Nakshatrala, K. B.; Knepley, M. G. 3 2019 An implicit discontinuous Galerkin method for modeling acute edema and resuscitation in the small intestine. Zbl 1501.92018 Thompson, Travis B.; Riviere, Beatrice M.; Knepley, Matthew G. 2 2019 Comparative study of finite element methods using the time-accuracy-size (TAS) spectrum analysis. Zbl 1417.65224 Chang, Justin; Fabien, Maurice S.; Knepley, Matthew G.; Mills, Richard T. 5 2018 Efficient mesh management in firedrake using PETSc DMPlex. Zbl 1352.65613 Lange, Michael; Mitchell, Lawrence; Knepley, Matthew G.; Gorman, Gerard J. 11 2016 Segmental refinement: a multigrid technique for data locality. Zbl 1375.65167 Adams, Mark F.; Brown, Jed; Knepley, Matt; Samtaney, Ravi 3 2016 Composing scalable nonlinear algebraic solvers. Zbl 1336.65030 Brune, Peter R.; Knepley, Matthew G.; Smith, Barry F.; Tu, Xuemin 62 2015 Finite element integration on GPGPUs. Zbl 1298.65176 Knepley, Matthew G.; Terrel, Andy R. 10 2013 Unstructured geometric multigrid in two and three dimensions on complex and graded meshes. Zbl 1264.65203 Brune, Peter R.; Knepley, Matthew G.; Scott, Larkin Ridgway 7 2013 Pyclaw: accessible, extensible, scalable tools for wave propagation problems. Zbl 1253.65220 Ketcheson, David I.; Mandli, Kyle; Ahmadia, Aron J.; Alghamdi, Amal; De Luna, Manuel Quezada; Parsani, Matteo; Knepley, Matthew G.; Emmett, Matthew 20 2012 Biomolecular electrostatics using a fast multipole BEM on up to 512 GPUs and a billion unknowns. Zbl 1259.78044 Yokota, Rio; Bardhan, Jaydeep P.; Knepley, Matthew G.; Barba, L. A.; Hamada, Tsuyoshi 19 2011 PetFMM – a dynamically load-balancing parallel fast multipole library. Zbl 1217.70005 Cruz, Felipe A.; Knepley, Matthew G.; Barba, L. A. 6 2011 PetRBF - A parallel \(O(N)\) algorithm for radial basis function interpolation with Gaussians. Zbl 1231.65026 Yokota, Rio; Barba, L. A.; Knepley, Matthew G. 23 2010 Automated FEM discretizations for the Stokes equation. Zbl 1143.76037 Terrel, A. R.; Scott, L. R.; Knepley, M. G.; Kirby, R. C. 1 2008 Optimizing the evaluation of finite element matrices. Zbl 1091.65114 Kirby, Robert C.; Knepley, Matthew; Logg, Anders; Scott, L. Ridgway 9 2005 all cited Publications top 5 cited Publications all top 5 Cited by 425 Authors 16 Yang, Haijian 10 Knepley, Matthew G. 9 Sun, Shuyu 9 Yang, Chao 7 Ketcheson, David I. 6 Fabien, Maurice S. 5 Barba, Lorena A. 5 De Luna, Manuel Quezada 5 De Sterck, Hans 5 Farrell, Patrick E. 5 Farrell, Patrick Emmet 5 He, Yunhui 5 Keyes, David Elliot 5 Lanser, Martin 5 Le Borne, Sabine 5 Liu, Lulu 5 MacLachlan, Scott P. 4 Cai, Xiao-Chuan 4 Casquero, Hugo 4 Geng, Weihua 4 Kirby, Robert C. 4 Klawonn, Axel 4 Kronbichler, Martin 4 Li, Yiteng 4 Mitchell, Lawrence 4 Rheinbach, Oliver 4 Yokota, Rio 3 Adler, James H. 3 Banaś, Krzysztof 3 Bona-Casas, Carles 3 Chang, Justin 3 Chen, Kewang 3 Gómez, Héctor J. 3 Hwang, Fengnan 3 Rivière, Beatrice M. 3 Vuik, Cornelis 3 Wende, Michael 3 Zhang, Yongjie Jessica 2 Adams, Mark F. 2 Bardhan, Jaydeep P. 2 Cheng, Tianpei 2 Darve, Eric 2 Di Pietro, Daniele Antonio 2 Etangsale, Grégory 2 Fahs, Marwan 2 Fontaine, Vincent 2 Funke, Simon W. 2 Gazca-Orozco, P. A. 2 Hu, Xiaozhe 2 Hughes, Thomas J. R. 2 Jiang, Jiamin 2 Joshaghani, M. S. 2 Kanschat, Guido 2 Kong, Fande 2 Krasny, Robert 2 Krużel, Filip 2 Laakmann, Fabian 2 Lu, Benzhuo 2 Lu, Peipei 2 Luo, Li 2 Maddison, James R. 2 Mardal, Kent-Andre 2 Munch, Peter 2 Ohm, Peter 2 Papadopoulos, Ioannis P. A. 2 Pestana, Jennifer 2 Pollock, Sara 2 Pusztay, Joseph V. 2 Ranocha, Hendrik 2 Rebholz, Leo G. 2 Rognes, Marie Elisabeth 2 Rüde, Ulrich 2 Rupp, Andreas 2 Scott, Larkin Ridgway 2 Süli, Endre E. 2 Surowiec, Thomas 2 Takahashi, Toru 2 Tchelepi, Hamdi A. 2 Toshniwal, Deepesh 2 Uran, Matthias 2 Wechsung, Florian 2 Zhang, Bo 2 Zhang, Mei 2 Zhao, Shan 1 Abali, Bilen Emek 1 Abu-Labdeh, Razan 1 Adams, Milton B. 1 Afanasiev, Michael 1 Afkham, Babak Maboudi 1 Aktulga, Hasan Metin 1 Alexov, Emil 1 Alghamdi, Amal Mohammed A 1 Allen, Jeffery M. 1 Alsalti-Baldellou, Àdel A. 1 Alsnayyan, A. M. A. 1 Álvarez-Farré, Xavier 1 Ananthan, Shreyas 1 Arndt, Daniel 1 Ayala, Orlando M. 1 Aznaran, Francis R. A. ...and 325 more Authors all top 5 Cited in 49 Serials 41 SIAM Journal on Scientific Computing 35 Journal of Computational Physics 12 Computer Methods in Applied Mechanics and Engineering 11 Computer Physics Communications 10 Computers & Mathematics with Applications 9 Journal of Scientific Computing 6 Communications in Computational Physics 5 ACM Transactions on Mathematical Software 4 Computers and Fluids 4 SIAM Journal on Numerical Analysis 3 BIT 3 International Journal for Numerical Methods in Engineering 3 Journal of Computational and Applied Mathematics 3 Computational Mechanics 3 Advances in Computational Mathematics 2 Journal of Fluid Mechanics 2 Numerical Linear Algebra with Applications 2 Archives of Computational Methods in Engineering 2 Computational Methods in Applied Mathematics 2 Journal of Numerical Mathematics 2 Communications in Applied Mathematics and Computational Science 2 Mathematical Geosciences 2 Molecular Based Mathematical Biology 2 Results in Applied Mathematics 1 International Journal of Engineering Science 1 Inverse Problems 1 Journal of Mathematical Biology 1 Wave Motion 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Computer Aided Geometric Design 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Engineering Analysis with Boundary Elements 1 Computing and Visualization in Science 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Sādhanā 1 Multiscale Modeling & Simulation 1 Quantum Information Processing 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Statistical Analysis and Data Mining 1 SMAI Journal of Computational Mathematics 1 Communications on Applied Mathematics and Computation 1 SN Partial Differential Equations and Applications all top 5 Cited in 26 Fields 165 Numerical analysis (65-XX) 73 Fluid mechanics (76-XX) 54 Partial differential equations (35-XX) 25 Mechanics of deformable solids (74-XX) 17 Computer science (68-XX) 14 Optics, electromagnetic theory (78-XX) 12 Biology and other natural sciences (92-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Geophysics (86-XX) 6 Operations research, mathematical programming (90-XX) 5 Statistics (62-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of particles and systems (70-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Systems theory; control (93-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Quantum theory (81-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year