FOSLL* for Nonlinear Partial Differential Equations
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Publication:3449794
DOI10.1137/140974353zbMath1325.65155OpenAlexW2197643248MaRDI QIDQ3449794
Chad R. Westphal, Eunjung Lee, Thomas A. Manteuffel
Publication date: 30 October 2015
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/140974353
Newton's methodnonlinear partial differential equationsNavier-Stokesleast-squares finite element methodsfirst-order system LL* method
Error bounds for boundary value problems involving PDEs (65N15) 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)
Related Items
A priori error analysis of high-order LL* (FOSLL*) finite element methods, A conservation-prioritized approach simultaneously enhancing mass and momentum conservation of least-squares method for Stokes/Navier-Stokes problems, Dual least‐squares finite element method with stabilization, An <scp>L2</scp> finite element approximation for the incompressible Navier–Stokes equations, Newton-\(\mathrm{LL}^\ast\) method for the second-order semi-linear elliptic partial differential equations, Dual system least-squares finite element method for a hyperbolic problem
Uses Software
Cites Work
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- An adaptive mixed least-squares finite element method for viscoelastic fluids of Oldroyd type
- First-order system least squares and the energetic variational approach for two-phase flow
- Least-squares finite element methods
- Gauss-Newton multilevel methods for least-squares finite element computations of variably saturated subsurface flow
- Least-squares methods for Stokes equations based on a discrete minus one inner product
- Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations
- A method for creating a class of triangular C1 finite elements
- A hybrid mixed discontinuous Galerkin finite-element method for convection-diffusion problems
- A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions
- First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics
- Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations
- Efficiency‐based h‐ and hp‐refinement strategies for finite element methods
- Optimal Convergence of the Original DG Method for the Transport-Reaction Equation on Special Meshes
- Finite Element Methods for Navier-Stokes Equations
- Finite Element Methods of Least-Squares Type
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
- First-Order System Least Squares for Second-Order Partial Differential Equations: Part II
- A least-squares approach based on a discrete minus one inner product for first order systems
- First-Order System Least Squares for the Stokes Equations, with Application to Linear Elasticity
- Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations
- Improved discretization error estimates for first-order system least squares
- Least-Squares Mixed Finite Element Solution of Variably Saturated Subsurface Flow Problems
- First-Order System $\CL\CL^*$ (FOSLL*): Scalar Elliptic Partial Differential Equations
- Least-Squares Methods for Incompressible Newtonian Fluid Flow: Linear Stationary Problems
- Parallel adaptive mesh refinement for first‐order system least squares
- Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations
- FOSLL* Method for the Eddy Current Problem with Three‐Dimensional Edge Singularities
- Weighted‐Norm First‐Order System Least Squares (FOSLS) for Problems with Corner Singularities
- First‐Order System Least Squares for Geometrically Nonlinear Elasticity
- First-Order System LL* (FOSLL*) for General Scalar Elliptic Problems in the Plane
- Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part I
- Analysis of First-Order System Least Squares (FOSLS) for Elliptic Problems with Discontinuous Coefficients: Part II
- Flux-upwind stabilization of the discontinuous Petrov–Galerkin formulation with Lagrange multipliers for advection-diffusion problems
