In this talk,we focus on finite element approximations of time dependent Stokes-Darcy interface problems with defective boundary conditions and Beavers-Jose
We propose and study implicit-explicit(IMEX)methods for the coupled Stokes-Darcy system that governs flows in karst aquifers and other subsurface flow syste
The functional It(o)calculus has been very successful in many applications,particularly in viscosity theory for backward path dependent PDEs.In this talk we
In this talk,we adapt the definition of viscosity solutions to the obstacle problem for fully nonlinear path-dependent PDEs with data uniformly continuous i
Path-dependent Kolmogorov equations naturally arise as the extension of the classical backward Kolmogorov equations to the case of non-Markovian stochastic
The Functional Ito calculus is a non-anticipative functional calculus which extends the Ito calculus to path-dependent functionals of stochastic processes.
The analysis of the error for isogeometric methods is based on the construction of suitable projection operators onto the space of splines or their generali
We present the recently developed abstract framework of asymptotically compatible(AC)schemes for robust discretizations of a family of parametrized problems
Thin elastic bilayer structures arise in various modern applications,e.g.,in the fabrication of nanotubes or microgrippers.The mathematical modeling leads t