On the performance of high‐order finite elements with respect to maximum principles and the nonnegative constraint for diffusion‐type equations

DOI10.1002/nme.4291zbMath1253.65190arXiv1108.0952OpenAlexW2964204698MaRDI QIDQ4898006

G. S. Payette, K. B. Nakshatrala, J. N. Reddy

Publication date: 29 December 2012

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0952

zbMATH Keywords

maximum principleshigh-order approximationsanisotropic diffusionnonnegative constraintleast squares formulations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Elliptic equations and elliptic systems (35J99)

Related Items

On enforcing maximum principles and achieving element-wise species balance for advection-diffusion-reaction equations under the finite element method, A numerical framework for diffusion-controlled bimolecular-reactive systems to enforce maximum principles and the non-negative constraint, A seven-parameter spectral/\(hp\) finite element formulation for isotropic, laminated composite and functionally graded shell structures, Large-scale optimization-based non-negative computational framework for diffusion equations: parallel implementation and performance studies, On discrete maximum principles for discontinuous Galerkin methods, Variational inequality approach to enforcing the non-negative constraint for advection-diffusion equations, On the monotonicity and discrete maximum principle of the finite difference implementation of \(C^0\)-\(Q^2\) finite element method

Uses Software

• Tecplot

Cites Work

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