scholarly journals The fictitious domain method with L 2 ‐penalty for the Stokes problem with the Dirichlet boundary condition

2017 ◽  
Vol 34 (3) ◽  
pp. 881-905
Author(s):  
Guanyu Zhou
Keyword(s):  
Boundary Condition ◽  
Dirichlet Boundary Condition ◽  
Dirichlet Boundary ◽  
Stokes Problem ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method

scholarly journals A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem

2014 ◽  
Vol 61 (3) ◽  
pp. 604-628 ◽  
Author(s):  
André Massing ◽  
Mats G. Larson ◽  
Anders Logg ◽  
Marie E. Rognes
Keyword(s):  
Stokes Problem ◽  
Fictitious Domain ◽  
Fictitious Domain Method ◽  
Domain Method

scholarly journals On some classes of generalized Schrödinger equations

2020 ◽  
Vol 10 (1) ◽  
pp. 522-533
Author(s):  
Amanda S. S. Correa Leão ◽  
Joelma Morbach ◽  
Andrelino V. Santos ◽  
João R. Santos Júnior
Keyword(s):  
Boundary Condition ◽  
Dirichlet Boundary Condition ◽  
Dirichlet Boundary ◽  
Laplacian Operator ◽  
Schrodinger Equations ◽  
Schrödinger Equations ◽  
Nontrivial Solutions ◽  
Homogeneous Dirichlet Boundary Condition ◽  
Stationary Problems

Abstract Some classes of generalized Schrödinger stationary problems are studied. Under appropriated conditions is proved the existence of at least 1 + $\begin{array}{} \sum_{i=2}^{m} \end{array}$ dim Vλi pairs of nontrivial solutions if a parameter involved in the equation is large enough, where Vλi denotes the eigenspace associated to the i-th eigenvalue λi of laplacian operator with homogeneous Dirichlet boundary condition.

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