Korotov, Sergey

name

• Korotov, Sergey

Authored works

• A comparison of simplicial and block finite elements
• A posteriori error estimation for linear elliptic problems with mixed boundary conditions
• A posteriori error estimation in terms of linear functionals for the linear elasticity problems
• Acute type refinements of tetrahedral partitions of polyhedral domains
• Dissection of an arbitrary polyhedron into nonobtuse tetrahedra
• Error control in terms of linear functionals based on gradient averaging techniques
• Finite element analysis for 3D heat conduction equation with third boundary condition
• Finite element analysis of variational crimes for a quasilinear elliptic problems in 3D
• Global a posteriori error estimates for convection-reaction-diffusion problems
• Local nonobtuse tetrahedral refinements of a cube
• Note on strongly regular families of triangulations for domains with a piecewise smooth boundary
• On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix
• On equilibrium finite elements in three-dimensional case
• Quasi-red and quasi-yellow nonobtuse refinements of planar triangulations
• Strong regularity of a family of face-to-face partitions generated by the longest-edge bisection algorithm
• Techniques for global and local nonobtuse refinements of tetrahedral partitions
• Variational crimes and equilibrium finite elements in three-dimensional space
• Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle
• Yellow-red and nonobtuse refinements of planar triangulations

Works contributed to

• A discrete maximum principle in Hilbert space with applications to nonlinear cooperative elliptic systems
• A new a posteriori error estimate for convection-reaction-diffusion problems
• A posteriori error estimates for some problems in linear elasticity
• Computational technologies for reliable control of global and local errors for linear elliptic type boundary value problems
• Discrete maximum principles for FE solutions of nonstationary diffusion-reaction problems with mixed boundary conditions
• Discrete maximum principles for FEM solutions of nonlinear elliptic systems
• Discrete maximum principles for FEM solutions of some nonlinear elliptic interface problems
• Discrete maximum principles for finite element solutions of some mixed nonlinear elliptic problems using quadratures
• Discrete maximum principles for nonlinear parabolic PDE systems
• Discrete maximum principles for the FEM solution of some nonlinear parabolic problems
• Dissection of the path-simplex in Rⁿ into n path-subsimplices
• Galerkin approximations for the linear parabolic equation with the third boundary condition
• Geometric interpretations of the conjugate gradient method
• Goal-oriented a posteriori error estimates for transport problems
• Goal-oriented error estimates based on different FE-spaces for the primal and the dual problem with applications to fracture mechanics
• New local nonobtuse tetrahedral refinements of a cube
• Nonnegativity preservation in the numerical solution of linear parabolic PDE's
• On a bisection algorithm that produces conforming locally refined simplicial meshes
• On discrete maximum principles for nonlinear elliptic problems
• On global and local mesh refinements by a generalized conforming bisection algorithm
• On nodal superconvergence in 3D by averaging piecewise linear, bilinear, and trilinear FE approximations
• On the equivalence of regularity criteria for triangular and tetrahedral finite element partitions
• On weakening conditions for discrete maximum principles for linear finite element schemes
• Sharp upper global a posteriori error estimates for nonlinear elliptic variational problems
• Simplicial finite elements in higher dimensions
• The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem

Works about Korotov, Sergey