First-Order System $\CL\CL^*$ (FOSLL*): Scalar Elliptic Partial Differential Equations
From MaRDI portal
Publication:4539378
DOI10.1137/S0036142900388049zbMath1008.65085OpenAlexW2079222606MaRDI QIDQ4539378
J. Ruge, Stephen F. McCormick, Zhi-qiang Cai, Thomas A. Manteuffel
Publication date: 8 July 2002
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/s0036142900388049
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) 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
A priori error analysis of high-order LL* (FOSLL*) finite element methods ⋮ FOSLL* for Nonlinear Partial Differential Equations ⋮ A locally conservative, discontinuous least-squares finite element method for the Stokes 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 ⋮ Left ventricular flow analysis: recent advances in numerical methods and applications in cardiac ultrasound ⋮ A pollution-free ultra-weak FOSLS discretization of the Helmholtz equation ⋮ An \(L^2\)-finite element approximation of the solution to div/curl-systems with nonempty null space ⋮ Dual least‐squares finite element method with stabilization ⋮ An <scp>L2</scp> finite element approximation for the incompressible Navier–Stokes equations ⋮ The DPG-star method ⋮ An Optimally Stable Approximation of Reactive Transport Using Discrete Test and Infinite Trial Spaces ⋮ Adaptively weighted least squares finite element methods for partial differential equations with singularities ⋮ A saddle point least squares approach to mixed methods ⋮ Adjoint pseudospectral least-squares methods for an elliptic boundary value problem ⋮ Dual system least squares finite element method for the Helmholtz equation ⋮ Discontinuous Galerkin least-squares finite element methods for singularly perturbed reaction-diffusion problems with discontinuous coefficients and boundary singularities ⋮ Goal-Oriented Adaptive Mesh Refinement for Discontinuous Petrov--Galerkin Methods ⋮ Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations ⋮ Efficient Resolution of Anisotropic Structures ⋮ Dual system least-squares finite element method for a hyperbolic problem