Browsing Analysis of Partial Differential Equations (APDE) by Subject "a priori estimates"

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Robust numerical methods for nonlocal (and local) equations of porous medium type. Part I: Theory

Del Teso, F.; Endal, J.; R. Jakobsen, E. (2019)

Abstract. We develop a unified and easy to use framework to study robust fully discrete numerical methods for nonlinear degenerate diffusion equations ∂tu − Lσ,μ[φ(u)] = f(x,t) in RN × (0,T), where Lσ,μ is a general ...
Robust numerical methods for nonlocal (and local) equations of porous medium type. Part II: Schemes and experiments

Del Teso, F.; Endal, J.; Jacobsen, E.R. (2018)

\noindent We develop a unified and easy to use framework to study robust fully discrete numerical methods for nonlinear degenerate diffusion equations $$ \partial_t u-\mathfrak{L}[\varphi(u)]=f(x,t) \qquad\text{in}\qquad ...