Editorial: Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods

DOI10.1016/j.camwa.2021.05.029zbMath1462.00084OpenAlexW3170183920MaRDI QIDQ2034882

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Publication date: 23 June 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.05.029

Mathematics Subject Classification ID

Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to numerical analysis (65-06)

Related Items (1)

Generating probability distributions on intervals and spheres: convex decomposition

Cites Work

• Notes on a saddle point reformulation of mixed variational problems
• Least-squares formulations for eigenvalue problems associated with linear elasticity
• The discontinuous Petrov-Galerkin methodology for the mixed multiscale finite element method
• The double adaptivity paradigm. (How to circumvent the discrete inf-sup conditions of Babuška and Brezzi)
• Ultraweak formulation of linear PDEs in nondivergence form and DPG approximation
• A numerical study of the pollution error and DPG adaptivity for long waveguide simulations
• Construction and application of algebraic dual polynomial representations for finite element methods on quadrilateral and hexahedral meshes
• A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement
• An \(L^p\)-DPG method for the convection-diffusion problem
• A machine-learning minimal-residual (ML-MRes) framework for goal-oriented finite element discretizations
• Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier-Stokes problems
• Analysis of non-conforming DPG methods on polyhedral meshes using fractional Sobolev norms
• Time-stepping DPG formulations for the heat equation
• Numerical results for adaptive (negative norm) constrained first order system least squares formulations
• Collective marking for arbitrary order adaptive least-squares finite element methods with optimal rates
• Generating probability distributions on intervals and spheres with application to finite element method
• Recent advances in least-squares and discontinuous Petrov-Galerkin finite element methods
• Adaptivity and variational stabilization for convection-diffusion equations

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