Superconvergence in a DPG method for an ultra-weak formulation
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Publication:1732431
DOI10.1016/j.camwa.2017.11.029zbMath1409.65091arXiv1707.06979OpenAlexW2771228561MaRDI QIDQ1732431
Publication date: 25 March 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.06979
superconvergenceultra-weak formulationa priori analysisDPG methodduality argumentspostprocessing solutions
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)
Related Items (13)
Analysis of backward Euler primal DPG methods ⋮ A priori error analysis of high-order LL* (FOSLL*) finite element methods ⋮ A DPG method for shallow shells ⋮ On perfectly matched layers for discontinuous Petrov-Galerkin methods ⋮ Discontinuous Petrov-Galerkin approximation of eigenvalue problems ⋮ The DPG-star method ⋮ Approximation properties of primal discontinuous Petrov-Galerkin method on general quadrilateral meshes ⋮ Superconvergence of DPG approximations in linear elasticity ⋮ An ultraweak formulation of the Kirchhoff–Love plate bending model and DPG approximation ⋮ The discontinuous Petrov-Galerkin methodology for the mixed multiscale finite element method ⋮ Ultraweak formulation of linear PDEs in nondivergence form and DPG approximation ⋮ Superconvergent DPG methods for second-order elliptic problems ⋮ MINRES for Second-Order PDEs with Singular Data
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