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<body class='hmmessage'><div dir='ltr'><div>I am trying to solve a multiphase cahn hilliard equation with an obstacle potential. So I have an energy functional. However, the linear inequality arises when I eliminate one of the phase variables. So, the variables are phi1,phi2, phi3 , mu1,mu2 and mu3. with ,0<phi1,phi2,phi3<1 and phi1+phi2+phi3 =1 . If I get rid of phi3 and mu3, I get an additional constraint 0 < phi1+phi2 < 1 , which I just added to the lagrangian with a multiplier. </div><div><br></div><div><br></div><div>> From: jedbrown@mcs.anl.gov<br>> To: potaman@outlook.com; petsc-users@mcs.anl.gov<br>> CC: tmunson@mcs.anl.gov<br>> Subject: Re: [petsc-users] Extending PETSC-SNES-VI to linear inequality constraints,<br>> Date: Mon, 23 Dec 2013 21:27:57 -0700<br>> <br>> subramanya sadasiva <potaman@outlook.com> writes:<br>> <br>> > Hi, Is it possible to extend PETSC-SNES VI to handlie linear<br>> > inequality constraints. My problem has 4 variables . 2 of them have<br>> > bounds constraints, as well as a linear inequality. At present I've<br>> > implemented an augmented lagrangian method to handle the linear<br>> > inequality and I let SNES VI handle the bounds constraints. However,<br>> > the convergence of this method is very poor. I'd like to know if there<br>> > was an easy way to get SNES VI to handle the linear inequalities as<br>> > well. Thanks,<br>> <br>> This would be a useful extension, though I think nonlinear inequality<br>> constraints may ultimately be necessary. We are integrating TAO as a<br>> module in PETSc, which will help with problem formulation.<br>> <br>> Does your problem have an "energy" or objective functional, or is it a<br>> general variational inequality?<br></div> </div></body>
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