Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II

DOI10.1137/S003614290342769XzbMath1087.65114OpenAlexW4244513512MaRDI QIDQ5700275

Thomas A. Manteuffel, Stephen F. McCormick, Markus Berndt

Publication date: 28 October 2005

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s003614290342769x

zbMATH Keywords

finite elements singularities discontinuous coefficients second-order elliptic problems error bounds multilevel methods interface problems least-squares discretization

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) PDEs with low regular coefficients and/or low regular data (35R05) Iterative numerical methods for linear systems (65F10)

Related Items (9)

FOSLL* for Nonlinear Partial Differential Equations ⋮ Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces ⋮ Left ventricular flow analysis: recent advances in numerical methods and applications in cardiac ultrasound ⋮ A weighted adaptive least-squares finite element method for the Poisson-Boltzmann equation ⋮ Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form ⋮ Adaptively weighted least squares finite element methods for partial differential equations with singularities ⋮ Fully discrete least-squares spectral element method for parabolic interface problems ⋮ A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor ⋮ Discontinuous Galerkin least-squares finite element methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and boundary singularities

This page was built for publication: Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II