Numerical results for adaptive (negative norm) constrained first order system least squares formulations

DOI10.1016/j.camwa.2020.08.025OpenAlexW3087599012MaRDI QIDQ2034903

Andreas Schafelner, Panayot S. Vassilevski

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.2020.08.025

zbMATH Keywords

finite element methodadaptivityspace-timeCFOSLS

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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Cites Work

• Local error estimates and adaptive refinement for first-order system least squares (FOSLS)
• Adaptive AMG with coarsening based on compatible weighted matching
• Space-time discretizations using constrained first-order system least squares (CFOSLS)
• Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods
• Further results on error estimators for local refinement with first-order system least squares (FOSLS)
• Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations
• Locally Adapted Tetrahedral Meshes Using Bisection
• The Auxiliary Space Preconditioner for the de Rham Complex
• Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method
• A Convergent Adaptive Algorithm for Poisson’s Equation
• Dörfler marking with minimal cardinality is a linear complexity problem
• Space-Time CFOSLS Methods with AMGe Upscaling
• The completion of locally refined simplicial partitions created by bisection

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