Mixed finite elements Bloch-Torrey equation Error bounds Finite element Elasticity Traveling wave Bergman kernel Stability Solvability conditions Shallow water equations Mass redistribution method Prion Navier-Stokes equations Diffusion limit Hematopoietic stem cells Asymptotic expansion Hamiltonian dynamics Entropy Multiscale modeling Dynamical core Cancer Kinetic formulation History-dependent boundary condition Variational inequality Cell population dynamics Cardiac diffusion imaging Asymptotic convergence Finite element method Existence of pulses Delay differential-difference system Spectral stability Cell dynamics Harmonic limit Unilateral contact HWI inequality Viscoelasticity Hele-Shaw Asymptotic analysis Energy conservation Contact problem Coulomb friction Numerical simulations Agent-based models Biot system Anti-diffusive method Nitsche's method Kinetic equations Differential equations Flow convexity Hematopoiesis Fredholm integral equation Diffusion magnetic resonance imaging Euler characteristic Traveling waves Alzheimer Age-structured PDE Data completion Finite volumes Prions Clot growth Immune response Cell cycle Entropy method Energy dissipation Product integration method Circadian clock Kinetic equation Finite elements Dynamics Partial differential equations Elastodynamics Tresca’s friction law Linear elasticity Plasma physics Diffusion encoding gradient Transport equations Apparent diffusion coefficient Compressible flows Geophysical fluid dynamics Fixed-stress iterative coupling Cross diffusion Abbreviated action integral Cauchy problem Fracture propagation Stokes equations 92C37 Amplitude equation Blood coagulation Hopf bifurcation Chronotherapy Finite volume scheme Contact Blow-up Homogenization Stochastic partial differential equations Convergence Dispersion relationship Cellular differentiation Delay differential equations Navier-Stokes system