Pleiades Publishing Ltd
Công bố khoa học tiêu biểu
* Dữ liệu chỉ mang tính chất tham khảo
Sắp xếp:
On detecting a wavefront described by a 2D eikonal equation when the velocity in the medium depends on one spatial variable
Pleiades Publishing Ltd - Tập 3 - Trang 52-58 - 2010
In this paper, the 2D eikonal equation f
2
+ f
2
= (ky + b)2α is considered. If a solution is found, the relation f (x, y) = C determines the location of the wave......
The lagrange multiplier method for solving a semicoercive model problem with friction
Pleiades Publishing Ltd - Tập 2 - Trang 330-340 - 2009
In model problems with friction, unconditional minimization of a nondifferentiable functional is reduced to conditional minimization of a differentiable functional. To solve the semicoercive problem obtained, we use a dual scheme based on a modified Lagrangian functional.
Difference Methods for Solving Nonlocal Boundary Value Problems for Fractional-Order Pseudo-Parabolic Equations with the Bessel Operator
Pleiades Publishing Ltd - - 2020
L ∞-error estimates of triangular mixed finite element methods for optimal control problems governed by semilinear elliptic equations
Pleiades Publishing Ltd - - 2009
Theoretical justification of interior point algorithms for solving optimization problems with nonlinear constraints
Pleiades Publishing Ltd - Tập 6 - Trang 24-33 - 2013
A family of interior point algorithms is considered. These algorithms can be used for solving mathematical programming problems with nonlinear inequality constraints. Some weighted Euclidean norms are applied to finding a descent direction for improving the solution. These norms vary with iterations. A theoretical justification of the algorithms with some assumptions (including the nonsingularity ......
A problem with wells for the steady diffusion equation
Pleiades Publishing Ltd - Tập 3 - Trang 101-117 - 2010
This paper deals with a problem with wells for which nonlocal boundary conditions are given. It is shown that the problem is equivalent to a mixed problem without wells. For this formulation, an error estimate of a mixed finite element method in the 2D case is studied.
Estimation of Pointwise Approximation Error Using a Set of Numerical Solutions
Pleiades Publishing Ltd - Tập 15 - Trang 281-292 - 2022
This paper deals with estimation of local (pointwise) approximation error on an ensemble of numerical solutions obtained by using independent algorithms. A variational inverse problem is posed for approximation error estimation. This problem is ill-posed due to translation-invariance of the governing equations. Zero order Tikhonov regularization is applied to obtain stable solutions. Numerical tes......
Parallel algorithms and domain decomposition techniques for solving three-dimensional boundary value problems on quasi-structured grids
Pleiades Publishing Ltd - Tập 9 - Trang 141-149 - 2016
A new approach to the decomposition of a three-dimensional computational domain into subdomains matched without overlapping is proposed. It is based on direct approximation of the Poincare–Steklov equation at the interface. Parallel algorithms and techniques for solving threedimensional boundary value problems on quasi-structured grids are presented. Experimental evaluation of parallel efficiency ......
Nonconvex minimization of a quadratic function over a sphere
Pleiades Publishing Ltd - Tập 8 - Trang 135-147 - 2015
The problem of minimizing a nonconvex function over a sphere is reduced to a sequence of problems of minimizing its convex majorants over the sphere. To construct the majorants, the objective function is represented as the difference of convex quadratic functions, and the problem is solved at the previous step. The objective function representation is based on a modified procedure of the Cholesky ......
Numerical models of mosaic homogeneous isotropic random fields and problems of radiative transfer
Pleiades Publishing Ltd - Tập 9 - Trang 12-23 - 2016
New algorithms for statistical modeling of radiation transfer through various types of stochastic homogeneous isotropic media are created. For this, a special geometric implementation of a “maximum cross-section method” is developed, which takes into account radiation absorption by an exponential weight factor. Some functionals of the solution to the radiative transfer equation, such as mean passa......
Tổng số: 362
- 1
- 2
- 3
- 4
- 5
- 6
- 10