Incompressible flow modeling using an adaptive stabilized finite element method based on residual minimization

DGIRM: Discontinuous Galerkin based Isogeometric Residual Minimization for the Stokes problem

(2021) Marcin Los et al.   Journal of Computational Science

Goal-oriented adaptivity for a conforming residual minimization method in a dual discontinuous Galerkin norm

(2021) Sergio Rojas et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Automatically adaptive stabilized finite elements and continuation analysis for compaction banding in geomaterials

(2021) Roberto J. Cier et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Automatically adaptive, stabilized finite element method via residual minimization for heterogeneous, anisotropic advection–diffusion–reaction problems

(2021) Roberto J. Cier et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

An adaptive stabilized conforming finite element method via residual minimization on dual discontinuous Galerkin norms

(2020) Victor M. Calo et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A nonlinear weak constraint enforcement method for advection-dominated diffusion problems

(2020) Roberto J. Cier et al.   MECHANICS RESEARCH COMMUNICATIONS

Performance evaluation of block-diagonal preconditioners for the divergence-conforming B-spline discretization of the Stokes system

(2015) A.M.A. Côrtes et al.   Journal of Computational Science

The DPG method for the Stokes problem

(2014) Nathan V. Roberts et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

A class of discontinuous Petrov–Galerkin methods. Part III: Adaptivity

(2011) Leszek Demkowicz et al.   APPLIED NUMERICAL MATHEMATICS

A class of discontinuous Petrov–Galerkin methods. Part I: The transport equation

(2010) L. Demkowicz et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

IsoGeometric Analysis: Stable elements for the 2D Stokes equation

(2010) A. Buffa et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS

A class of discontinuous Petrov–Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D

(2010) J. Zitelli et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions

(2010) L. Demkowicz et al.   NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

Algorithm 887

(2008) Yanqing Chen et al.   ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE