Representation of Green's function for the Dirichlet problem of polyharmonic equations in a ball.
Representation theorem for stochastic differential equations in Hilbert spaces and its applications.
Representation theorem for the solution of weakly hyperbolic equations with fast oscillating coefficients
Representation theorems and Fatou theorems for parabolic systems in the sense of Petrovskiĭ
Representations of Compact Lie Groups and Elliptic Operators.
Representations of hypersurfaces and minimal smoothness of the midsurface in the theory of shells
Representations of mild solutions of time-varying linear stochastic equations and the exponential stability of periodic systems.
Reproducing kernel methods for solving linear initial-boundary-value problems.
Reproduzierende Kerne, Fundamentalkerne und Resolventenkerne.
Research of a mathematical model of low-concentrated aqueous polymer solutions.
Řešení biharmonického problému pro nekonečný klín. I.
Řešení biharmonického problému pro nekonečný klín. II.
Řešení biharmonického problému v nekonečném pásu
Řešení quasilineární parabolické diferenciální rovnice s absolutním členem speciálního typu metodou sítí
Residual and hierarchical a posteriori error estimates for nonconforming mixed finite element methods
We analyze residual and hierarchical a posteriori error estimates for nonconforming finite element approximations of elliptic problems with variable coefficients. We consider a finite volume box scheme equivalent to a nonconforming mixed finite element method in a Petrov–Galerkin setting. We prove that all the estimators yield global upper and local lower bounds for the discretization error. Finally, we present results illustrating the efficiency of the estimators, for instance, in the simulation...
Residual and hierarchical a posteriori error estimates for nonconforming mixed finite element methods
We analyze residual and hierarchical a posteriori error estimates for nonconforming finite element approximations of elliptic problems with variable coefficients. We consider a finite volume box scheme equivalent to a nonconforming mixed finite element method in a Petrov–Galerkin setting. We prove that all the estimators yield global upper and local lower bounds for the discretization error. Finally, we present results illustrating the efficiency of the estimators, for instance, in the simulation...
Residual based a posteriori error estimators for eddy current computation
Residual based a posteriori error estimators for eddy current computation
We consider H(curl;Ω)-elliptic problems that have been discretized by means of Nédélec's edge elements on tetrahedral meshes. Such problems occur in the numerical computation of eddy currents. From the defect equation we derive localized expressions that can be used as a posteriori error estimators to control adaptive refinement. Under certain assumptions on material parameters and computational domains, we derive local lower bounds and a global upper bound for the total error measured in...
Residual models for nonlinear partial differential equations.
Résolubilité et hypoellipticité de systèmes surdéterminés