Changes in glaciers and ice sheets are expected to have a tremendous influence on sea-level rise and global climate change.Many mathematical challenges in simulating ice sheet dynamics arise: ill-cond
We present a BDDC solver for the cardiac electro-mechanical coupling,a model describing the electrical excitation of the myocardium and its subsequent contraction.The model is constituted by a parabol
We demonstrate the feasibility of high resolution models of bidirectionally coupled cardiac electro-mechanics which resolve cardiac anatomy at a para-cellular resolution.A novel algebraic multigrid me
Computational biomechanics is the study of biology at the organ and tissue level using computer simulation technologies based on mathematical and numerical models.With the rapid development of HPC ove
Simulating blood flows in compliant arteries in 3D is a challenging multi-physics problem.The difficulties are due to the high nonlinearity of coupled equations.To overcome the difficulties,we study a
Fractional Partial Differential Equations(FPDEs)are emerging as a new powerful tool for modeling many difficult complex systems,i.e.,systems with overlapping microscopic and macroscopic scales or syst
We develop parallel domain decomposition based algorithms used for numerical simulation of blood flows in arteries based on a non-Newtonian viscosity model and provides a comparative study with the nu
This talk introduces numerical methods and applications for fractional-order advection-dispersion equations(fADEs).A general Lagrangian solver is developed to approximate various fADEs using a three-s
Consider fractional-derivative two-point boundary value problems where the leading term in the differential operator is either a Riemann-Liouville or a Caputo derivative of order 2-δ with 0 <δ< 1.Each