Variational problems in weighted Sobolev spaces on non-smooth domains
DOI10.1090/S0033-569X-2010-01212-7zbMath1194.35115MaRDI QIDQ3586728
Rouben Rostamian, Ana Maria Soane
Publication date: 1 September 2010
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/journals/qam/2010-68-03/S0033-569X-2010-01212-7/home.html
Navier-Stokes equationsfinite elementsweighted Sobolev spacescorner singularitiesPoisson problemHelmholtz problem
Variational inequalities (49J40) Boundary value problems for second-order elliptic equations (35J25) Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Variational methods for second-order elliptic equations (35J20)
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Cites Work
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