Weighted‐Norm First‐Order System Least Squares (FOSLS) for Problems with Corner Singularities

DOI10.1137/050636279zbMath1129.65087OpenAlexW2042148637MaRDI QIDQ5422474

Eunjung Lee, Chad R. Westphal, Thomas A. Manteuffel

Publication date: 22 October 2007

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

Full work available at URL: https://doi.org/10.1137/050636279

zbMATH Keywords

convergence finite element method singularities weighted Sobolev space elliptic equations mesh refinement weighted-norm least-squares method

Mathematics Subject Classification ID

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) Iterative numerical methods for linear systems (65F10) Boundary value problems for linear first-order PDEs (35F15)

Related Items (17)

FOSLL* for Nonlinear Partial Differential Equations ⋮ An adaptive mixed least-squares finite element method for viscoelastic fluids of Oldroyd type ⋮ Left ventricular flow analysis: recent advances in numerical methods and applications in cardiac ultrasound ⋮ An \(L^2\)-finite element approximation of the solution to div/curl-systems with nonempty null space ⋮ Error estimate of a finite element method for an optimal control problem with corner singularity using the stress intensity factor ⋮ First-Order System Least Squares Finite-Elements for Singularly Perturbed Reaction-Diffusion Equations ⋮ Adaptively weighted least squares finite element methods for partial differential equations with singularities ⋮ A weighted least squares finite element method for elliptic problems with degenerate and singular coefficients ⋮ Parallel adaptive mesh refinement for first‐order system least squares ⋮ Least-squares hp/spectral element method for elliptic problems ⋮ A finite element method for computing accurate solutions for Poisson equations with corner singularities using the stress intensity factor ⋮ Unnamed Item ⋮ Weighted norm least squares finite element method for Poisson equation in a polyhedral domain ⋮ Discontinuous Galerkin least-squares finite element methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and boundary singularities ⋮ A Newton div-curl least-squares finite element method for the elliptic Monge-Ampère equation ⋮ Weighted least-squares finite elements based on particle imaging velocimetry data ⋮ Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D

This page was built for publication: Weighted‐Norm First‐Order System Least Squares (FOSLS) for Problems with Corner Singularities