The DPG-star method
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Publication:2192493
DOI10.1016/j.camwa.2020.01.012zbMath1447.65133arXiv1809.03153OpenAlexW3004130119MaRDI QIDQ2192493
Brendan Keith, Jay Gopalakrishnan, Leszek F. Demkowicz
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.03153
Numerical solutions to overdetermined systems, pseudoinverses (65F20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) A priori estimates in context of PDEs (35B45) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
Related Items (12)
A priori error analysis of high-order LL* (FOSLL*) finite element methods ⋮ Error representation of the time-marching DPG scheme ⋮ A continuous \textit{hp}-mesh model for discontinuous Petrov-Galerkin finite element schemes with optimal test functions ⋮ Combining DPG in space with DPG time-marching scheme for the transient advection-reaction equation ⋮ A deep double Ritz method (\(\mathrm{D^2RM}\)) for solving partial differential equations using neural networks ⋮ Approximation properties of primal discontinuous Petrov-Galerkin method on general quadrilateral meshes ⋮ Isogeometric analysis and augmented Lagrangian Galerkin least squares methods for residual minimization in dual norm ⋮ Goal-oriented error estimation for the automatic variationally stable FE method for convection-dominated diffusion problems ⋮ A least-squares formulation of the moving discontinuous Galerkin finite element method with interface condition enforcement ⋮ An anisotropic \(h\)-adaptive strategy for discontinuous Petrov-Galerkin schemes using a continuous mesh model ⋮ Superconvergent DPG methods for second-order elliptic problems ⋮ Camellia: a rapid development framework for finite element solvers
Uses Software
Cites Work
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