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Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 09/2014, Volume 83, Issue 289, pp. 2101 - 2126
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 2013, Volume 241, Issue 1, pp. 103 - 115
Journal Article
International Journal of Numerical Analysis and Modeling, ISSN 1705-5105, 2015, Volume 12, Issue 1, pp. 31 - 53
This paper introduces a new weak Galerkin (WG) finite element method for second order elliptic equations on polytopal meshes. This method, called WG-FEM, is... 
Second-order elliptic problems | Finite element methods | Polytopal meshes | Weak Galerkin | Discrete gradient | MATHEMATICS | polytopal meshes | MATHEMATICS, APPLIED | LAGRANGIAN-MULTIPLIERS | discrete gradient | DISCONTINUOUS GALERKIN | finite element methods | second-order elliptic problems | 2ND-ORDER ELLIPTIC PROBLEMS | weak Galerkin
Journal Article
IEEE Transactions on Signal Processing, ISSN 1053-587X, 06/2017, Volume 65, Issue 12, pp. 3261 - 3276
Journal Article
IEEE Transactions on Power Systems, ISSN 0885-8950, 11/2015, Volume 30, Issue 6, pp. 3225 - 3233
Journal Article
Applied Energy, ISSN 0306-2619, 03/2017, Volume 190, pp. 949 - 959
•A real-time demand response framework and model is formulated.•Lagrangian relaxation is adopted to decompose the demand response model.•Lagrangian multiplier... 
Lagrangian multiplier optimal selection (LMOS) | Sensitivity analysis | Distributed algorithm | Demand response (DR) | Lagrangian relaxation (LR) | RESOURCES | ENERGY | MARKET | SMART GRIDS | ENERGY & FUELS | ALGORITHM | SIDE MANAGEMENT | ENGINEERING, CHEMICAL | Electrical engineering | Case studies | Algorithms | Analysis
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 03/2018, Volume 87, Issue 310, pp. 515 - 545
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2016, Volume 54, Issue 6, pp. 3332 - 3356
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2016, Volume 38, Issue 6, pp. B962 - B987
We study preconditioners for a model problem describing the coupling of two elliptic subproblems posed over domains with different topological dimension by a... 
Lagrange multipliers | Preconditioning | Saddle-point problem | MATRIX | MATHEMATICS, APPLIED | LAGRANGIAN-MULTIPLIERS | saddle-point problem | APPROXIMATION | SPACES | PERFORMANCE | NORMS | EQUATIONS | FINITE-ELEMENT-METHOD | preconditioning
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 11/2017, Volume 74, Issue 9, pp. 2047 - 2055
In this paper we discuss mixed finite element methods for nearly incompressible elasticity. We show that if a method uses the hydrostatic pressure as unknown,... 
Stability conditions | Mixed finite element methods | Incompressible elasticity | MATHEMATICS, APPLIED | LAGRANGIAN-MULTIPLIERS | EQUATIONS | FLOW
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 09/2014, Volume 273, pp. 327 - 342
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 10/2016, Volume 310, pp. 475 - 494
Journal Article
Journal of computational and applied mathematics, ISSN 0377-0427, 2018, Volume 341, pp. 127 - 143
This paper introduces new discretization schemes for time-harmonic Maxwell equations in a connected domain by using the weak Galerkin (WG) finite element... 
Time-harmonic | Polygonal/polyhedral meshes | Weak curl | Weak Galerkin | Finite element methods | Maxwell equations | Weak divergence | MATHEMATICS, APPLIED | LAGRANGIAN-MULTIPLIERS | APPROXIMATION | 2ND-ORDER ELLIPTIC PROBLEMS | BIHARMONIC EQUATION | Finite element method | Analysis | Methods
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 04/2017, Volume 73, Issue 8, pp. 1684 - 1696
This work concerns finite element analysis of the evolutionary Stokes equation with inhomogeneous Dirichlet boundary data. The Dirichlet boundary data are... 
Inhomogeneous Dirichlet boundary data | Error estimates | Lagrange multipliers | Evolutionary Stokes equations | Finite element approximations | MATHEMATICS, APPLIED | LAGRANGIAN-MULTIPLIERS | FINITE-ELEMENT APPROXIMATION
Journal Article
SIAM journal on numerical analysis, ISSN 1095-7170, 2017, Volume 55, Issue 6, pp. 2718 - 2744
Journal Article
Yugoslav Journal of Operations Research, ISSN 0354-0243, 2015, Volume 25, Issue 3, pp. 387 - 395
In this paper the notion of Strict Benson proper-ε-efficient solution for a vector optimization problem with set-valued maps is introduced. The scalarization... 
Ic-cone-convexlikeness | Scalarization | Lagrangian Multipliers | Set-valued Maps | Strict Benson proper-ε-efficiency | scalarization | ε-Lagrangian Multipliers
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 01/2019, Volume 343, pp. 297 - 313
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2017, Volume 322, pp. 137 - 166
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 08/2015, Volume 293, pp. 348 - 374
Journal Article
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