Adaptive flux-only least-squares finite element methods for linear transport equations

DOI10.1007/s10915-020-01269-yzbMath1448.76103arXiv1907.06991OpenAlexW3045456967MaRDI QIDQ785595

Shun Zhang, Qinjie Liu

Publication date: 7 August 2020

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.06991

zbMATH Keywords

a posteriori error estimatediscontinuous solutionovershootinga priori error estimateadaptive LSFEM

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Diffusion and convection (76R99)

Related Items (7)

Battling Gibbs phenomenon: on finite element approximations of discontinuous solutions of PDEs ⋮ Dual least‐squares finite element method with stabilization ⋮ A simple proof of coerciveness of first-order system least-squares methods for general second-order elliptic PDEs ⋮ Least-squares methods with nonconforming finite elements for general second-order elliptic equations ⋮ Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form ⋮ Primal-Dual Reduced Basis Methods for Convex Minimization Variational Problems: Robust True Solution a Posteriori Error Certification and Adaptive Greedy Algorithms ⋮ Dual system least-squares finite element method for a hyperbolic problem

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