First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane

DOI10.1137/S0036142903430402zbMath1103.65117MaRDI QIDQ5470918

Jens G. Schmidt, J. Ruge, Thomas A. Manteuffel, Stephen F. McCormick

Publication date: 2 June 2006

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

zbMATH Keywords

numerical examplesdiscontinuous coefficientsfinite element methodsfirst-order systemsleast-squares methodsnonsmooth solutionsreduced regularity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (13)

A priori error analysis of high-order LL* (FOSLL*) finite element methods ⋮ FOSLL* for Nonlinear Partial Differential Equations ⋮ Adaptive anisotropic Petrov-Galerkin methods for first order transport equations ⋮ A conservation-prioritized approach simultaneously enhancing mass and momentum conservation of least-squares method for Stokes/Navier-Stokes problems ⋮ Least squares finite element method with high continuity NURBS basis for incompressible Navier-Stokes equations ⋮ Saddle point least squares iterative solvers for the time harmonic Maxwell equations ⋮ An \(L^2\)-finite element approximation of the solution to div/curl-systems with nonempty null space ⋮ A new and simple implementation of the element-local \(L^2\)-projected continuous finite element method ⋮ A saddle point least squares approach to mixed methods ⋮ Adjoint pseudospectral least-squares methods for an elliptic boundary value problem ⋮ How To Best Sample a Solution Manifold? ⋮ Discontinuous Galerkin least-squares finite element methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and boundary singularities ⋮ Improving Conservation for First-Order System Least-Squares Finite-Element Methods

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