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A weak Galerkin finite element method for the Navier–Stokes equations

Journal Article published Aug 2018 in Journal of Computational and Applied Mathematics

Research funded by National Science Foundation (DMS-1620063, DMS-1620016) | U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics program (ERKJE45) | Laboratory Directed Research and Development | U.S. Department of Energy (DE-AC05-00OR22725)

Authors: Xiaozhe Hu, Lin Mu, Xiu Ye

An a posteriori error estimator for the weak Galerkin least-squares finite-element method

Journal Article published Nov 2018 in Journal of Computational and Applied Mathematics

Research funded by National Science Foundation (DMS-1620063, DMS-1620016) | U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics (ERKJE45) | U.S. Department of Energy (DE-AC05-00OR22725)

Authors: James H. Adler, Xiaozhe Hu, Lin Mu, Xiu Ye

A discrete divergence free weak Galerkin finite element method for the Stokes equations

Journal Article published Mar 2018 in Applied Numerical Mathematics volume 125 on pages 172 to 182

Research funded by Advanced Scientific Computing Research (ERKJE45) | Oak Ridge National Laboratory | U.S. Department of Energy (DE-AC05-00OR22725) | National Science Foundation (DMS-1620016)

Authors: Lin Mu, Junping Wang, Xiu Ye, Shangyou Zhang

A hybridized formulation for the weak Galerkin mixed finite element method

Journal Article published Dec 2016 in Journal of Computational and Applied Mathematics volume 307 on pages 335 to 345

Research funded by Advanced Scientific Computing Research (ERKJE45) | Oak Ridge National Laboratory | U.S. Department of Energy (DE-AC05-00OR22725) | National Science Foundation (DMS-1115097)

Authors: Lin Mu, Junping Wang, Xiu Ye

Effective implementation of the weak Galerkin finite element methods for the biharmonic equation

Journal Article published Sep 2017 in Computers & Mathematics with Applications volume 74 issue 6 on pages 1215 to 1222

Research funded by U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research, Applied Mathematics (ERKJE45) | U.S. Department of Energy (DE-AC05-00OR22725) | National Science Foundation (DMS- 1115097)

Authors: Lin Mu, Junping Wang, Xiu Ye

Application of the generalized multiscale finite element method in parameter-dependent PDE simulations with a variable-separation technique

Journal Article published Jul 2016 in Journal of Computational and Applied Mathematics volume 300 on pages 183 to 191

Research funded by U.S. Department of Energy | Office of Science | Advanced Scientific Computing Research | Chinese University of Hong Kong

Authors: Longfei Gao, Xiaosi Tan, Eric T. Chung

A second-order difference scheme for the time fractional substantial diffusion equation

Journal Article published Mar 2017 in Journal of Computational and Applied Mathematics volume 313 on pages 54 to 69

Research funded by National Natural Science Foundation of China (11671083) | Fundamental Research Funds for the Central Universities | Research and Innovation Project for College Graduates of Jiangsu Province (KYLX_0081) | National Science Foundation (DMS-1115887) | U.S. Department of Energy | Office of Science | Advanced Scientific Computing Research

Authors: Zhaopeng Hao, Wanrong Cao, Guang Lin

A weak Galerkin generalized multiscale finite element method

Journal Article published Oct 2016 in Journal of Computational and Applied Mathematics volume 305 on pages 68 to 81

Research funded by National Science Foundation (DMS-1418973, DMS-1115097) | Advanced Scientific Computing Research (ERKJE45) | Oak Ridge National Laboratory | UT-Battelle, LLC | U.S. Department of Energy (DE-AC05-00OR22725)

Authors: Lin Mu, Junping Wang, Xiu Ye

Gaussian process surrogates for failure detection: A Bayesian experimental design approach

Journal Article published May 2016 in Journal of Computational Physics volume 313 on pages 247 to 259

Research funded by National Natural Science Foundation of China (11301337) | U.S. Department of Energy | Office of Science | Advanced Scientific Computing Research | Applied Mathematics program | National Science Foundation (DMS-1115887)

Authors: Hongqiao Wang, Guang Lin, Jinglai Li

Coarse predictions of dipole reversals by low-dimensional modeling and data assimilation

Journal Article published Jan 2017 in Physics of the Earth and Planetary Interiors volume 262 on pages 8 to 27

Research funded by U.S. Department of Energy | Office of Science | Advanced Scientific Computing Research | Applied Mathematics Program | National Science Foundation (DMS-1419044, DMS-1619630)

Authors: Matthias Morzfeld, Alexandre Fournier, Gauthier Hulot

Computing Maximum Cardinality Matchings in Parallel on Bipartite Graphs via Tree-Grafting

Journal Article published 1 Jan 2017 in IEEE Transactions on Parallel and Distributed Systems volume 28 issue 1 on pages 44 to 59

Research funded by U.S. Department of Energy (DE-FG02-13ER26135) | Office of Science | Office of Advanced Scientific Computing Research, Applied Mathematics (DE-AC02-05CH11231) | National Science Foundation (1218196, 1552323)

Authors: Ariful Azad, Aydn Buluc, Alex Pothen

The arbitrary order mixed mimetic finite difference method for the diffusion equation

Journal Article published May 2016 in ESAIM: Mathematical Modelling and Numerical Analysis volume 50 issue 3 on pages 851 to 877

Research funded by U.S. Department of Energy (Office of Science Advanced Scientific Computing Research (ASCR) Program in Applied Mathematics)

Authors: Vitaliy Gyrya, Konstantin Lipnikov, Gianmarco Manzini

A high-performance finite-volume algorithm for solving partial differential equations governing compressible viscous flows on structured grids

Journal Article published Nov 2016 in Computers & Mathematics with Applications volume 72 issue 9 on pages 2098 to 2118

Research funded by Advanced Scientific Computing Research | National Science Foundation (CCF-1422725) | U.S. Department of Energy (DE-EE0006086) | Lawrence Livermore National Laboratory (B604249)

Authors: S.M. Guzik, X. Gao, C. Olschanowsky

Call Center Arrivals: When to Jointly Forecast Multiple Streams?

Journal Article published 4 Jun 2018 in Production and Operations Management volume 28 issue 1 on pages 27 to 42

Research funded by U.S. Department of Energy | Office of Science | Advanced Scientific Computing Research | Applied Mathematics program (DMS-1106912) | National Science Foundation (DMS-1407655) | Ministry of Science and Technology of the People's Republic of China (2017YFC1310900, 2017YFC1310903) | University of Hong Kong | University Research Committee, University of Hong Kong (104004215) | Xerox UAC Foundation

Authors: Han Ye, James Luedtke, Haipeng Shen

A comparative study on the weak Galerkin, discontinuous Galerkin, and mixed finite element methods

Journal Article published Jan 2015 in Journal of Computational and Applied Mathematics volume 273 on pages 346 to 362

Research funded by U.S. Department of Energy | Laboratory Directed Research and Development | National Science Foundation (DMS-0915253)

Authors: Guang Lin, Jiangguo Liu, Farrah Sadre-Marandi

A simple finite element method for linear hyperbolic problems

Journal Article published Mar 2018 in Journal of Computational and Applied Mathematics volume 330 on pages 330 to 339

Research funded by U.S. Department of Energy (ERKJE45) | National Science Foundation (DMS-1620016)

Authors: Lin Mu, Xiu Ye

Geometric and electrostatic modeling using molecular rigidity functions

Journal Article published Mar 2017 in Journal of Computational and Applied Mathematics volume 313 on pages 18 to 37

Research funded by U.S. Department of Energy (DE-AC05-00OR22725) | National Science Foundation (DMS-1160352, IIS-1302285) | National Institutes of Health (R01GM-090208)

Authors: Lin Mu, Kelin Xia, Guowei Wei

On the acceleration of spatially distributed agent-based computations: A patch dynamics scheme

Journal Article published Jun 2015 in Applied Numerical Mathematics volume 92 on pages 54 to 69

Research funded by U.S. Department of Energy (DE-FG02-09ER25877) | National Science Foundation (CDS&E 1310173)

Authors: Ping Liu, Giovanni Samaey, C. William Gear, Ioannis G. Kevrekidis

Stability analysis and error estimates of local discontinuous Galerkin methods with implicit–explicit time-marching for nonlinear convection–diffusion problems

Journal Article published Jan 2016 in Applied Mathematics and Computation volume 272 on pages 237 to 258

Research funded by National Natural Science Foundation of China (11271187) | U.S. Department of Energy (DE-FG02–08ER25863)

Authors: Haijin Wang, Chi-Wang Shu, Qiang Zhang

Numerical Differentiation of Noisy, Nonsmooth Data

Journal Article published 2011 in ISRN Applied Mathematics volume 2011 on pages 1 to 11

Research funded by U.S. Department of Energy

Authors: Rick Chartrand