1,721,124 research outputs found
Full discretization of a nonlinear parabolic integro-differential problem with an unknown Dirichlet boundary condition
No full textA nonlinear parabolic integro-differential problem containing an unknown solely time-dependent Dirichlet condition on a part of the boundary is considered. An additional integral measurement is used to recover the missing data. A full discretization method is designed to approximate the unique weak solution to this problem. Corresponding error estimates are derived
Kernel reconstruction in a semilinear parabolic problem with integral overdetermination
Get PDFA semilinear parabolic problem of second order with an unknown solely time-dependent convolution kernel is considered. The missing kernel is recovered from an additional integral measurement. The existence, uniqueness and regularity of a weak solution is addressed. We design a numerical algorithm based on Rothe’s method, derive a priori
estimates and prove convergence of iterates towards the exact solution
Error analysis in the kernel reconstruction in a semilinear parabolic problem with integral overdetermination
Get PDFA semilinear parabolic problem of second order with an unknown solely time-dependent convolution kernel is considered. We already proved, based on a given global measurement, the existence of a unique weak solution. In this contribution, we perform an error analysis of the proposed numerical algorithm based on Rothe’s method
Numerical techniques for partial differential equations in superconductivity and thermoelasticity
Get PDFAdvanced numerical techniques in partial differential equations: nonstandard boundary conditions and regularization of inverse problems
Get PDF
- …
