Křížek, Michal

name

• Křížek, Michal

Authored works

• A phenomenon arising from the use of harmonic and biharmonic elements
• Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains
• Finite element approximation of nonlinear heat conduction problems in anisotropic media
• Geometric interpretations of the conjugate gradient method
• Internal Fe-approximation of spaces of divergence-free functions in three-dimensional domains
• On a global superconvergent recovery technique for the gradient from piecewise linear FE-approximations
• On O(h[sup4])-superconvergence of piecewise bilinear FE-approximations
• On superconvergence techniques
• On the time-harmonic Maxwell equations with nonhomogeneous conductivities: solvability and Fe-approximation
• On the validity of Friedrichs' inequalities
• Solvability of a first order system in three-dimensional non-smooth domains
• Superconvergence of the finite element schemes arising from the use of averaged gradients
• Superconvergence phenomenon in the finite element method arising from averaging gradients

Works contributed to

• Acute type refinements of tetrahedral partitions of polyhedral domains
• Conforming FE-method for obtaining the gradient of a solution to the Poisson equation
• Dissection of an arbitrary polyhedron into nonobtuse tetrahedra
• Dissection of the path-simplex in Rⁿ into n path-subsimplices
• Finite element analysis of variational crimes for a quasilinear elliptic problems in 3D
• Local nonobtuse tetrahedral refinements of a cube
• Note on strongly regular families of triangulations for domains with a piecewise smooth boundary
• On a bisection algorithm that produces conforming locally refined simplicial meshes
• On a discrete maximum principle for linear FE solutions of elliptic problems with a nondiagonal coefficient matrix
• 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
• Postprocessing of a finite element scheme with linear elements
• Second-order optimality conditions for nondominated solutions of multiobjective programming with C[sup 1,1] -data
• Simplicial finite elements in higher dimensions
• 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
• The discrete maximum principle for linear simplicial finite element approximations of a reaction-diffusion problem
• Weakened acute type condition for tetrahedral triangulations and the discrete maximum principle

Works about Křížek, Michal