The paper presents an algorithm of adaptation by successive mesh regeneration and its application to the potential nonlinear flow problems. The Newton-Raphson method is applied to the solution of nonlinear problem. The Kutta-Zhukovsky condition is implemented by the penalty function method. The adaptation algorithm is based on the modification of mesh size function depending on the error indicator calculated at every node. Numerical tests are presented
Laplace’s equation is a partial differential equation of the second order, which has a different use...
summary:This paper presents a stabilization result for weak solutions of degenerate parabolic equati...
This note is to provide a refinement of the convergence analysis of the new exact penalty function m...
AbstractThe Sivashinsky equation is a nonlinear evolutionary equation of fourth order in space. In t...
This paper deals with extended solutions of a system of nonlinear integro-differential equations. Th...
This paper deals with extended solutions of a system of nonlinear integro-differential equations. Th...
This paper deals with extended solutions of a system of nonlinear integro-differential equations. Th...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
In this work we give su±cient conditions for k-th approximations of the polynomial roots of f(x) whe...
AbstractWe study the initial–boundary value problem of the viscous diffusion equations which include...
We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, ...
One of the unitary forms of the quantum mechanical time evolution operator is given by Cayley's appr...
The purpose of this paper is to investigate the existence of three different weak solutions to a non...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
summary:This paper presents a stabilization result for weak solutions of degenerate parabolic equati...
This note is to provide a refinement of the convergence analysis of the new exact penalty function m...
AbstractThe Sivashinsky equation is a nonlinear evolutionary equation of fourth order in space. In t...
This paper deals with extended solutions of a system of nonlinear integro-differential equations. Th...
This paper deals with extended solutions of a system of nonlinear integro-differential equations. Th...
This paper deals with extended solutions of a system of nonlinear integro-differential equations. Th...
AbstractThe numerical-analytic method is applied to a class of nonlinear differential-algebraic syst...
In this work we give su±cient conditions for k-th approximations of the polynomial roots of f(x) whe...
AbstractWe study the initial–boundary value problem of the viscous diffusion equations which include...
We obtain new Lyapunov-type inequalities for systems of nonlinear impulsive differential equations, ...
One of the unitary forms of the quantum mechanical time evolution operator is given by Cayley's appr...
The purpose of this paper is to investigate the existence of three different weak solutions to a non...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
Laplace’s equation is a partial differential equation of the second order, which has a different use...
summary:This paper presents a stabilization result for weak solutions of degenerate parabolic equati...
This note is to provide a refinement of the convergence analysis of the new exact penalty function m...