Quasi-interpolation and a posteriori error analysis in finite element methods
Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
One of the main tools in the proof of residual-based a posteriori error estimates is a quasi-interpolation operator due to Clément. We modify this operator in the setting of a partition of unity with the effect that the approximation error has a local average zero. This results in a new residual-based a posteriori error estimate with a volume contribution which is smaller than in the standard estimate. For an elliptic model problem, we discuss applications to conforming, nonconforming and mixed...
Quasilinear degenerate elliptic variational inequalities with discontinuous coefficients
We obtain an existence theorem for the problem (0.1) where the coefficients satisfy a degenerate ellipticity condition and hypotheses weaker than the continuity with respect to the variable .
Quasilinear degenerated equations with datum and without coercivity in perturbation terms.
Quasilinear differential equations in exterior domains with nonlinear boundary conditions and application.
Quasilinear elliptic Dirichlet problem in nonregular domains
Quasilinear elliptic eigenvalue problems.
Quasilinear elliptic equations with discontinuous coefficients
We prove an existence result for equations of the form where the coefficients satisfy the usual ellipticity conditions and hypotheses weaker than the continuity with respect to the variable . Moreover, we give a counterexample which shows that the problem above may have no solution if the coefficients are supposed only Borel functions
Quasilinear Elliptic Equations with Small Boundary Data.
Quasilinear Elliptic Operations and Weak Solutions of the Euler Equation.
Quasilinear elliptic problems with multivalued terms
We study the quasilinear elliptic problem with multivalued terms.We consider the Dirichlet problem with a multivalued term appearing in the equation and a problem of Neumann type with a multivalued term appearing in the boundary condition. Our approach is based on Szulkin’s critical point theory for lower semicontinuous energy functionals.
Quasilinear elliptic problems with nonmonotone discontinuities and measure data.
Quasilinear elliptic problems with nonstandard growth.
Quasilinear elliptic systems in divergence form with weak monotonicity and nonlinear physical data.
Quasilinear elliptic systems in divergence form with weak monotonicity.
Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems.
Quasilinear Elliptic-Parabolic Differentail Equations.
Quasilinear equations with natural growth.
Quasilinear hyperbolic 2 x 2 systems with a free, damping boundary condition.
Quasilinear hyperbolic equations with hysteresis