On the roles of minimization and linearization in least-squares finite element models of nonlinear boundary-value problems
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Publication:543781
DOI10.1016/j.jcp.2011.02.002zbMath1218.65130OpenAlexW2030553193MaRDI QIDQ543781
Publication date: 17 June 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2011.02.002
Navier-Stokes equationsnumerical examplesPoisson's equationleast-squaresincompressible flowFinite elementsnonlinear boundary-values problemsspectral approximations
Nonlinear boundary value problems for linear elliptic equations (35J65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
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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 ⋮ A seven-parameter spectral/\(hp\) finite element formulation for isotropic, laminated composite and functionally graded shell structures ⋮ Treatment of fast moving loads in elastodynamic problems with a space-time variational formulation ⋮ Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity ⋮ Adjoint-based optimal control of incompressible flows with convective-like energy-stable open boundary conditions
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