First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations

DOI10.1007/978-3-030-41032-2_1OpenAlexW3013222216MaRDI QIDQ3297685

Scott MacLachlan, J. H. Adler, Niall Madden

Publication date: 20 July 2020

Published in: Large-Scale Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08598

zbMATH Keywords

singularly perturbed differential equationsfirst-order system least squares (FOSLS) finite elementsparameter-robust discretizations

Mathematics Subject Classification ID

Numerical analysis (65-XX)

Related Items (4)

Robust estimates in balanced norms for singularly perturbed reaction diffusion equations using graded meshes ⋮ Singularly perturbed reaction-diffusion problems as first order systems ⋮ A weighted and balanced FEM for singularly perturbed reaction-diffusion problems ⋮ A balanced norm error estimation for the time-dependent reaction-diffusion problem with shift in space

Cites Work

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• First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
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• A Robust DPG Method for Singularly Perturbed Reaction-Diffusion Problems
• Weighted‐Norm First‐Order System Least Squares (FOSLS) for Problems with Corner Singularities

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