Least-squares finite element methods

DOI10.1007/b13382zbMath1168.65067OpenAlexW1555557982MaRDI QIDQ931255

Pavel B. Bochev, Max D. Gunzburger

Publication date: 25 June 2008

Published in: Applied Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b13382

zbMATH Keywords

Sobolev spacesnumerical resultsNavier-Stokes equationsleast-squares methodfinite element methoddomain decompositioncondition numberelectromagneticsStokes problemPoisson equationhyperbolicenergy balanceparabolicadvection-diffusion problemsdiffusion problemsdiscrete DeRham complexhigher order elements

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) PDEs in connection with optics and electromagnetic theory (35Q60) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Initial value problems for second-order parabolic equations (35K15) Initial value problems for second-order hyperbolic equations (35L15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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