scholarly journals Fredholm solvability of time-periodic boundary value hyperbolic problems

2016 ◽  
Vol 442 (2) ◽  
pp. 804-819 ◽  
Author(s):  
Irina Kmit ◽  
Roman Klyuchnyk
Keyword(s):  
Periodic Boundary ◽  
Boundary Value ◽  
Hyperbolic Problems ◽  
Time Periodic ◽  
Fredholm Solvability

scholarly journals Time periodic boundary value Stokes problem in a domain with an outlet to infinity

2018 ◽  
Vol 23 (6) ◽  
pp. 866-888
Author(s):  
Rita Juodagalvyte ◽  
Kristina Kaulakyt
Keyword(s):  
Weak Solution ◽  
Periodic Boundary ◽  
Stokes Problem ◽  
Boundary Value ◽  
Unique Weak Solution ◽  
Nonhomogeneous Boundary ◽  
Time Periodic

We prove the existence of a unique weak solution to the time periodic nonhomogeneous boundary value Stokes problem in a domain having an outlet to infinity.

scholarly journals Sobolev type inequalities of time-periodic boundary value problems for Heaviside and Thomson cables

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Kazuo Takemura ◽  
Yoshinori Kametaka ◽  
Kohtaro Watanabe ◽  
Atsushi Nagai ◽  
Hiroyuki Yamagishi
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Boundary Value ◽  
Sobolev Type ◽  
Periodic Boundary Value Problems ◽  
Time Periodic

scholarly journals Functional A Posteriori Error Estimates for Parabolic Time-Periodic Boundary Value Problems

2015 ◽  
Vol 15 (3) ◽  
pp. 353-372 ◽  
Author(s):  
Ulrich Langer ◽  
Sergey Repin ◽  
Monika Wolfmayr
Keyword(s):  
Boundary Value Problems ◽  
Periodic Boundary ◽  
Boundary Value ◽  
A Posteriori Error Estimates ◽  
Posteriori Error ◽  
Parabolic Problems ◽  
A Posteriori ◽  
Practical Applications ◽  
Periodic Boundary Value Problems ◽  
Time Periodic

AbstractThe paper is concerned with parabolic time-periodic boundary value problems which are of theoretical interest and arise in different practical applications. The multiharmonic finite element method is well adapted to this class of parabolic problems. We study properties of multiharmonic approximations and derive guaranteed and fully computable bounds of approximation errors. For this purpose, we use the functional a posteriori error estimation techniques earlier introduced by S. Repin. Numerical tests confirm the efficiency of the a posteriori error bounds derived.

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