On the smoothness of solutions of the Dirichlet problem, and the composite mesh method on polyhedra
E. A. Volkov

This publication is cited in the following articles:

1. A. A. Dosiyev, E. Celiker, “On the fourth order accurate interpolation operator for the difference solution of the 3-dimensional Laplace equation”, Num. Anal. Appl., 17:1 (2024), 28–42      
2. A. A. Dosiyev, “A highly accurate difference method for solving the Dirichlet problem of the Laplace equation on a rectangular parallelepiped with boundary values in $C^{k,1}$”, Izv. Sarat. un-ta. Nov. ser. Ser.: Matematika. Mekhanika. Informatika, 24:2 (2024), 162–172    
3. Dosiyev A.A. Sarikaya H., “On the Difference Method For Approximation of Second Order Derivatives of a Solution of Laplace'S Equation in a Rectangular Parallelepiped”, Filomat, 33:2 (2019), 633–643      
4. Dosiyev A.A. Sarikaya H., “14-Point Difference Operator For the Approximation of the First Derivatives of a Solution of Laplace'S Equation in a Rectangular Parallelepiped”, Filomat, 32:3 (2018), 791–800    
5. Dosiyev A.A. Abdussalam A., “On the High Order Convergence of the Difference Solution of Laplace'S Equation in a Rectangular Parallelepiped”, Filomat, 32:3 (2018), 893–901    
6. Comput. Math. Math. Phys., 52:6 (2012), 879–886          
7. Volkov E.A., Dosiyev A.A., “A high accurate composite grid method for solving Laplace's boundary value problems with singularities”, Russian Journal of Numerical Analysis and Mathematical Modelling, 22:3 (2007), 291–307    
8. E. A. Volkov, “A Method of Composite Grids on a Prism with an Arbitrary Polygonal Base”, Proc. Steklov Inst. Math., 243 (2003), 131–153