Least Squares Methods for 2mth Order Elliptic Boundary-Value Problems
From MaRDI portal
Publication:5620320
DOI10.2307/2005129zbMath0216.49202OpenAlexW2000236397MaRDI QIDQ5620320
James H. Bramble, Alfred H. Schatz
Publication date: 1971
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2005129
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) Variational methods for second-order elliptic equations (35J20)
Related Items
Finite Element Methods for Elliptic Equations Using Nonconforming Elements, On the finite element-least squares approximation to higher order elliptic systems, Error and stability estimates of a least-squares variational kernel-based method for second order elliptic PDEs, A Least Squares Decomposition Method for Solving Elliptic Equations, Quasi-least-squares finite element method for steady flow and heat transfer with system rotation, Piecewise linear approach to the Stokes equations in 3 D, On the solution of the advection equation and advective dominated reactor models by weighted residual methods, Simultaneous Approximation in Scales of Banach Spaces, Least-squares finite element for second order boundary value problem with optimal rates of convergence, A fully discrete \(H^1\)-Galerkin method with quadrature for nonlinear advection-diffusion-reaction equations, On finite element methods of the least squares type, Local projection stabilized finite element methods for advection-reaction problems, A least-squares FEM-BEM coupling method for linear elasticity, [https://portal.mardi4nfdi.de/wiki/Publication:4041215 Berechnung d�nner Rechteck- und Parallelogrammplatten mittels Splines], Least squares finite element approximation of Navier's equation, How to prove optimal convergence rates for adaptive least-squares finite element methods, Zooming Algorithms for Accurate Plotting of Functions of Two Real Variables, A least squares finite element method applied to B-spline, A least-squares finite-element method for the Stokes equations with improved mass balances, An overlapping local projection stabilization for Galerkin approximations of Stokes and Darcy flow problems, Solving non-strongly elliptic pseudodifferential equations on a sphere using radial basis functions, On the roles of minimization and linearization in least-squares finite element models of nonlinear boundary-value problems, A Mollifier Useful for Approximations in Sobolev Spaces and Some Applications to Approximating Solutions of Differential Equations, An Error Estimate of the Least Squares Finite Element Method for the Stokes Problem in Three Dimensions, New error bounds for the penalty method and extrapolation, A family of $C^1$ finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems, A least squares coupling method with finite elements and boundary elements for transmission problems, Galerkin approximations to nonlinear pseudo-parabolic partial differential equations, Analysis of Least Squares Finite Element Methods for the Stokes Equations, Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains, Rate of Convergence Estimates for Nonselfadjoint Eigenvalue Approximations, A least-squares finite element method for incompressible flow in stress-velocity-pressure version, Least-squares methods for the velocity-pressure-stress formulation of the Stokes equations., Domain decomposition for least-squares finite element methods for the Stokes equations, A unified analysis of a weighted least squares method for first-order systems, A least-squares method for second order noncoercive elliptic partial differential equations, Analysis of the \(L^2\) least-squares finite element method for the velocity-vorticity-pressure Stokes equations with velocity boundary conditions., Higher Order Approximations to the Boundary Conditions for the Finite Element Method, Graded mesh approximation in weighted Sobolev spaces and elliptic equations in 2D, What is the complexity of elliptic systems?, Simultaneous approximation in negative norms of arbitrary order