First-order system least squares for second-order partial differential equations: part I

Least-squares spectral elements applied to the Stokes problem

Journal of Computational Physics

Analysis of a Discontinuous Least Squares Spectral Element Method

Journal of Scientific Computing

Nonconforming elements in least-squares mixed finite element methods

Mathematics of Computation

Superconvergence of least-squares mixed finite element for symmetric elliptic problems

Applied Numerical Mathematics

Analysis of a splitting method for incompressible inviscid rotational flow problems

Journal of Computational and Applied Mathematics

A remark on least-squares mixed element methods for reaction-diffusion problems

Journal of Computational and Applied Mathematics

Direct Minimization of the least-squares spectral element functional - Part I: Direct solver

Journal of Computational Physics

Adjoint pseudospectral least-squares methods for an elliptic boundary value problem

Applied Numerical Mathematics

Split least-squares finite element methods for linear and nonlinear parabolic problems

Journal of Computational and Applied Mathematics

A bubble-stabilized least-squares finite element method for steady MHD duct flow problems at high Hartmann numbers

Journal of Computational Physics

A split least-squares characteristic mixed finite element method for Sobolev equations with convection term

Mathematics and Computers in Simulation

An anisotropic mesh adaptation method for the finite element solution of variational problems

Finite Elements in Analysis and Design

A posteriori error estimators for the first-order least-squares finite element method

Journal of Computational and Applied Mathematics

A class of discontinuous Petrov-Galerkin methods. Part IV: The optimal test norm and time-harmonic wave propagation in 1D

Journal of Computational Physics

Optimal Error Estimate for the Div Least-squares Method with Data $f\inL^2$ and Application to Nonlinear Problems

SIAM Journal on Numerical Analysis

Flux Recovery and A Posteriori Error Estimators: Conforming Elements for Scalar Elliptic Equations

SIAM Journal on Numerical Analysis

First-Order System Least Squares for Incompressible Resistive Magnetohydrodynamics

SIAM Journal on Scientific Computing

Nested Iteration and First-Order System Least Squares for Incompressible, Resistive Magnetohydrodynamics

SIAM Journal on Scientific Computing

A Novel Least-Squares Finite Element Method Enriched with Residual-Free Bubbles for Solving Convection-Dominated Problems

SIAM Journal on Scientific Computing

Numerical analysis of a least-squares finite element method for the time-dependent advection-diffusion equation

Journal of Computational and Applied Mathematics

First-order system least squares and the energetic variational approach for two-phase flow

Journal of Computational Physics

First-Order System Least Squares for Coupled Stokes-Darcy Flow

SIAM Journal on Numerical Analysis

Efficiency Based Adaptive Local Refinement for First-Order System Least-Squares Formulations

SIAM Journal on Scientific Computing

Pointwise Error Estimates for First-Order div Least-Squares Finite Element Methods and Applications to Superconvergence and A Posteriori Error Estimators

SIAM Journal on Numerical Analysis

Sharp $L_2$-Norm Error Estimates for First-Order div Least-Squares Methods

SIAM Journal on Numerical Analysis

An efficiency-based adaptive refinement scheme applied to incompressible, resistive magnetohydrodynamics

LSSC'09 Proceedings of the 7th international conference on Large-Scale Scientific Computing

Convergence analysis for least-squares finite element approximations of second-order two-point boundary value problems

Journal of Computational and Applied Mathematics

Goal-Oriented Local A Posteriori Error Estimators for H(div) Least-Squares Finite Element Methods

SIAM Journal on Numerical Analysis

Nonlinear least squares and Sobolev gradients

Applied Numerical Mathematics

Least-squares solutions as solutions of a perturbation form of the Galerkin methods: Interior pointwise error estimates and pollution effect

Journal of Computational and Applied Mathematics

The least-squares pseudo-spectral method for Navier-Stokes equations

Computers & Mathematics with Applications