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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, ISSN 1937-1632, 02/2019, Volume 12, Issue 1, pp. 1 - 26
In the framework of the Laplacian transport, described by a Robin boundary value problem in an exterior domain in R-n, we generalize the definition of the... 
TRACE | MATHEMATICS, APPLIED | INEQUALITIES | SUBSETS | Laplacian transport | Poincare-Steklov operator | d-sets | SOBOLEV SPACES | fractal | LIPSCHITZ-SPACES | ASYMPTOTICS | BOUNDARY | DOMAINS
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2016, Volume 436, Issue 1, pp. 467 - 477
A second order Schwarz method for elliptic partial differential equations is developed and analyzed at a continuous level, which can be parallel implemented... 
Poincaré–Steklov operator | Schwarz methods | Energy estimates | Domain decomposition | Convergence analysis | Poincaré-Steklov operator | MATHEMATICS | MATHEMATICS, APPLIED | DOMAIN DECOMPOSITION METHOD | ALGORITHM | ARBITRARY INTERFACE | Poincare-Steklov operator | ABSORBING BOUNDARY-CONDITIONS | Analysis | Methods | Algorithms
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 02/2003, Volume 41, Issue 1, pp. 1 - 36
Journal Article
Mathematical Modelling and Analysis, ISSN 1392-6292, 01/2007, Volume 12, Issue 3, pp. 309 - 324
In this work finite superelements method (FSEM) for solution of biharmonic equation in bounded domains is proposed and developed. The method is based on... 
finite superelements method | Biharmonic equation | Poincaré-Steklov operators | Finite superelements method | MATHEMATICS | Poincare-Steklov operators | biharmonic equation | Poincaré‐Steklov operators
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 2010, Volume 235, Issue 1, pp. 301 - 314
Journal Article
International Journal of Applied Electromagnetics and Mechanics, ISSN 1383-5416, 2004, Volume 19, Issue 1-4, pp. 63 - 67
We consider some inverse boundary problems which are to determine the coefficients or functions of elliptic differential equations inside the domain Omega from... 
Poincaré-Steklov operator | Parameter identification | Oseen linearization | Schrödinger equation | Inverse problem | inverse problem | MECHANICS | PHYSICS, APPLIED | Schrodinger equation | BOUNDARY MEASUREMENTS | DETERMINING CONDUCTIVITY | Poincare-Steklov operator | parameter identification | ENGINEERING, ELECTRICAL & ELECTRONIC
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 11/2016, Volume 289, Issue 16, pp. 1968 - 1985
Journal Article
IMA Journal of Numerical Analysis, ISSN 0272-4979, 10/2004, Volume 24, Issue 4, pp. 643 - 669
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 01/1997, Volume 66, Issue 217, pp. 125 - 138
Journal Article
Electronic Transactions on Numerical Analysis, ISSN 1068-9613, 2009, Volume 36, pp. 168 - 194
Journal Article
Computational Methods in Applied Mathematics, ISSN 1609-4840, 10/2012, Volume 12, Issue 4, pp. 500 - 512
Journal Article
Computational Methods in Applied Mathematics, ISSN 1609-4840, 2001, Volume 7, Issue 1, pp. 3 - 24
This paper considers the Fedorenko Finite Superelement Method (FSEM) and some of its applications. The general idea, the main theoretical background, and the... 
finite element method | Poincaré-Steklov operators | finite superelement method | equation for traces | Finite element method | Equation for traces | Finite superelement method
Journal Article
2017 International Siberian Conference on Control and Communications (SIBCON), 06/2017, pp. 1 - 6
Power hardware-in-the-loop modeling (PHIL) is one of advanced approach for test automation and verification of complex circuits and systems. This approach is... 
Couplings | Computational modeling | Signal processing algorithms | simulation | Interface algorithm | power hardware-in-the-loop | Stability analysis | Hardware | Numerical models | Mathematical model | stability | Poincare-Steklov operator | power hardware-in-The-loop
Conference Proceeding
IMA Journal of Numerical Analysis, ISSN 0272-4979, 4/2009, Volume 29, Issue 2, pp. 332 - 349
Lions' non-overlapping domain decomposition method for the solution of elliptic partial differential equations has been analysed extensively by many authors.... 
Optimized Schwarz methods | Convergence acceleration | Lions' non-overlapping method | Domain decomposition | Poincare-Steklov operator | MATHEMATICS, APPLIED | convergence acceleration | domain decomposition | optimized Schwarz methods | ITERATIVE PROCEDURE
Journal Article
Computational Mathematics and Mathematical Physics, ISSN 0965-5425, 2/2006, Volume 46, Issue 2, pp. 258 - 270
Results of the theoretical and numerical studies of an algorithm based on the combined use of the finite element and finite superelement methods are presented.... 
Computational Mathematics and Numerical Analysis | Mathematics | Poincaré-Steklov operators | finite superelement method | Finite superelement method | Studies | Finite element analysis | Finite element method | Errors | Algorithms | Computation | Mathematical analysis | Laplace equation | Mathematical models | Estimates
Journal Article
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