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Journal of Computational Physics, ISSN 0021-9991, 04/2014, Volume 263, pp. 1 - 18
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2017, Volume 55, Issue 4, pp. 1740 - 1759
A spacetirne discontinuous Petrov-Calerkin (DGP) method for the linear time dependent... 
Finite element method | Discontinuous Petrov-Galerkin | Schrödinger equation | discontinuous Petrov Galerkin | MATHEMATICS, APPLIED | Schrodinger equation | finite element method
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 09/2016, Volume 309, pp. 388 - 410
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 03/2014, Volume 67, Issue 4, pp. 966 - 995
We discuss well-posedness and convergence theory for the DPG method applied to a general system of linear Partial Differential Equations (PDEs... 
Stokes problem | Discontinuous Petrov–Galerkin | Discontinuous Petrov-Galerkin | MATHEMATICS, APPLIED | PETROV-GALERKIN METHOD
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 10/2012, Volume 241-244, pp. 225 - 237
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 04/2014, Volume 83, Issue 286, pp. 537 - 552
We give a complete error analysis of the Discontinuous Petrov Galerkin (DPG) method, accounting for all the approximations made in its practical implementation... 
DPG method | Petrov-Galerkin | Ultraweak formulation | Discontinuous galerkin | Discontinuous Galerkin | MATHEMATICS, APPLIED | ultraweak formulation | LINEAR ELASTICITY | MIXED FINITE-ELEMENTS
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 02/2013, Volume 234, Issue 1, pp. 540 - 559
...) reduced order modelling (ROM) is outlined in this paper. This method presents a natural and easy way to introduce a diffusion term into ROM without tuning/optimising... 
Proper orthogonal decomposition | Reduced order modelling | Petrov–Galerkin | Shock wave | Finite element | Petrov-Galerkin | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | MODEL-REDUCTION | PHYSICS, MATHEMATICAL | FLOW | Finite element method | Atmospheric physics | Models | Analysis | Methods
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2018, Volume 40, Issue 2, pp. A1187 - A1203
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 06/2013, Volume 219, Issue 19, pp. 10044 - 10052
An improved meshless local Petrov–Galerkin (MLPG) method is presented and applied to calculate the two-dimensional unsteady state heat conduction problems... 
Meshless local Petrov–Galerkin method | Heaviside step function | Moving Kriging interpolation method | Transient heat conduction | Meshless local Petrov-Galerkin method | ELEMENT-FREE METHOD | MATHEMATICS, APPLIED | MOVING KRIGING INTERPOLATION | PLATE | LOKRIGING METHOD
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 01/2016, Volume 272, pp. 676 - 686
•Spatiotemporally variable heat conduction problems are solved efficiently.•MLPG method with MLS interpolation for approximation of the field variables is used... 
Heat conduction | Moving Least Squares | Meshless Petrov–Galerkin | Spatiotemporally varying conductivity | Meshless Petrov-Galerkin | MATHEMATICS, APPLIED | FORM | IMPLEMENTATION | EQUATIONS | FLOW | FUNCTIONALLY GRADED MATERIALS | MEDIA | BODIES | HEAT-CONDUCTION | POINT COLLOCATION | Mechanical engineering | Analysis | Methods | Electric properties
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 1/2014, Volume 52, Issue 5, pp. 2512 - 2529
Journal Article