Add to ORKGAbstract. In this paper, we investigate a spectral method for mixed boundary value problems defined on hexahedrons. Some results on irrational orthogonal approximation are established, which play important roles in numerical solutions of partial differential equations defined on hexahedrons. As examples of applications, we provide spectral schemes for two model problems, and prove their spectral accuracy. Efficient numerical implementations are described. Numerical results demonstrate the high efficiency of suggested algorithms. Key words. Irrational orthogonal approximation, spectral method on hexahedrons, mixed boundary value problems. 1
Abstract. A spectral method using fully tensorial rational basis functions on tetrahedron, obtained ...
A new numerical method to solve two-point boundary value problems for second order differential equa...
Spectral methods enjoy a variety of well known virtues for the solution of ordinary and partial diff...
Spectral methods represent a family of methods for the numerical approximation of partial differenti...
Preconditioned iterative methods for the indefinite systems obtained by discretizing the linear elas...
This book focuses on the constructive and practical aspects of spectral methods. It rigorously exami...
Abstract. In this paper, we propose a numerical method to approximate the solution of partial differ...
Abstract. In this paper, we develop a mixed Fourier-generalized Jacobi rational spectral method for ...
The high-order methods is difficultly applied in various elements. The development of a 3D solver by...
Iterative substructuring methods are introduced and analyzed for saddle point problems with a penalt...
In this paper we study a spectral problem with spectral parameter in the boundary condition. This pr...
Recently, the Schwarz alternating method has been successfully coupled to spatial discretizations of...
AbstractWe develop fully discrete spectral boundary integral algorithms to solve interior and exteri...
Spectral methods, particularly in their multidomain version, have become firmly established as a mai...
summary:We study spectral discretizations for singular perturbation problems. A special technique of...
Abstract. A spectral method using fully tensorial rational basis functions on tetrahedron, obtained ...
A new numerical method to solve two-point boundary value problems for second order differential equa...
Spectral methods enjoy a variety of well known virtues for the solution of ordinary and partial diff...
Spectral methods represent a family of methods for the numerical approximation of partial differenti...
Preconditioned iterative methods for the indefinite systems obtained by discretizing the linear elas...
This book focuses on the constructive and practical aspects of spectral methods. It rigorously exami...
Abstract. In this paper, we propose a numerical method to approximate the solution of partial differ...
Abstract. In this paper, we develop a mixed Fourier-generalized Jacobi rational spectral method for ...
The high-order methods is difficultly applied in various elements. The development of a 3D solver by...
Iterative substructuring methods are introduced and analyzed for saddle point problems with a penalt...
In this paper we study a spectral problem with spectral parameter in the boundary condition. This pr...
Recently, the Schwarz alternating method has been successfully coupled to spatial discretizations of...
AbstractWe develop fully discrete spectral boundary integral algorithms to solve interior and exteri...
Spectral methods, particularly in their multidomain version, have become firmly established as a mai...
summary:We study spectral discretizations for singular perturbation problems. A special technique of...
Abstract. A spectral method using fully tensorial rational basis functions on tetrahedron, obtained ...
A new numerical method to solve two-point boundary value problems for second order differential equa...
Spectral methods enjoy a variety of well known virtues for the solution of ordinary and partial diff...