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Computers and Mathematics with Applications, ISSN 0898-1221, 06/2019, Volume 77, Issue 12, pp. 3068 - 3086
We study in this paper a multilayer discretization of second order elliptic problems, aimed at providing reliable multilayer discretizations of shallow fluid... 
Petrov–Galerkin discretizations | Multilayer methods | Finite differences | Transposition solution | MATHEMATICS, APPLIED | Petrov-Galerkin discretizations | Multilayers | Boundary value problems | Computational fluid dynamics | Discretization | Fluid flow | Norms | Galerkin method | Continuity (mathematics)
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2016, Volume 54, Issue 4, pp. 2541 - 2568
Journal Article
Computational Methods in Applied Mathematics, ISSN 1609-4840, 04/2019, Volume 19, Issue 2, pp. 251 - 266
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2017, Volume 55, Issue 5, pp. 2312 - 2335
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2009, Volume 207, Issue 2, pp. 415 - 433
In this article, we analyze some residual-based stabilization techniques for the transient Stokes problem when considering anisotropic time–space... 
Stabilized finite elements | Stokes | Stability | Multiscale | Dynamic subscales | Convergence | MATHEMATICS, APPLIED | EQUATIONS | FINITE-ELEMENT APPROXIMATION | STEP | PETROV-GALERKIN FORMULATION | ORTHOGONAL SUBSCALES | ORDER | INCOMPRESSIBLE FLOWS | COMPUTATIONAL FLUID-DYNAMICS | Anisotropy | Analysis
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 05/2019, Volume 348, pp. 215 - 233
Journal Article
BIT Numerical Mathematics, ISSN 0006-3835, 3/2013, Volume 53, Issue 1, pp. 111 - 152
In this work we propose an original implementation of a large family of lowest-order methods for diffusive problems including standard and hybrid finite volume... 
Computational Mathematics and Numerical Analysis | 65N08 | Numeric Computing | Petrov–Galerkin methods | Mathematics, general | Mathematics | 65Y05 | Finite volume methods | 65N30 | Domain specific embedded language | Cell centered Galerkin methods | Petrov-Galerkin methods | Numerical Analysis
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 09/2015, Volume 70, Issue 6, pp. 1306 - 1335
We introduce a new numerical method denoted by CORSING (COmpRessed SolvING) to approximate advection–diffusion problems, motivated by the recent developments... 
Underdetermined linear systems | Petrov–Galerkin discretization | Sparse approximation | Partial differential equations | Compressed Sensing | Petrov-Galerkin discretization | BASIS PURSUIT | MATHEMATICS, APPLIED | DECOMPOSITION | Linear systems | Approximation | Strategy | Mathematical models | Robustness | Computational efficiency | Detection | Compressed
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2017, Volume 316, pp. 195 - 212
Journal Article
Mathematical Models and Methods in Applied Sciences, ISSN 0218-2025, 05/2017, Volume 27, Issue 5, pp. 953 - 995
We propose and analyze deterministic multilevel (ML) approximations for Bayesian inversion of operator equations with uncertain distributed parameters, subject... 
Higher-order quasi-Monte Carlo | uncertainty quantification | Bayesian inverse problems | parametric operator equations | SPOD weights | infinite-dimensional quadrature