10 papers
Leak localisation with a measure source convection-diffusion model
Thi Tam Dang, Tuomo Valkonen
Taking a variational approach, study the inverse problem of locating gas leaks from line-of-sight concentration measurements using a convection--diffusion model with the source ter…
Well-posedness of nonlinear parabolic equations with unbounded drift via nonlinear evolution theory
Thi Tam Dang, Trung Hau Hoang, Giandomenico Orlandi +1
We develop a nonlinear evolution framework for nonlinear parabolic equations with unbounded drift terms formulated in Lorentz spaces. The main contribution lies in the construction…
From Memory Model to CPU Time: Exponential Integrators for Advection-Dominated Problems
Thi Tam Dang, Trung Hau Hoang
In this paper, we investigate the application of exponential integrators to advection-dominated problems. We focus on Krylov subspace and Leja interpolation methods to compute the…
A simple predictor-corrector scheme without order reduction for advection-diffusion-reaction problems
Thi Tam Dang, Lukas Einkemmer, Alexander Ostermann
Treating diffusion and advection/reaction separately is an effective strategy for solving semilinear advection-diffusion-reaction equations. However, such an approach is prone to s…
An initial-boundary corrected splitting method for diffusion-reaction problems
Thi Tam Dang, Lukas Einkemmer, Alexander Ostermann
Strang splitting is a widely used second-order method for solving diffusion-reaction problems. However, its convergence order is often reduced to order for Dirichlet boundary c…
An initial-corrected splitting approach for convection-diffusion-reaction problems
Thi Tam Dang, Lukas Einkemmer, Alexander Ostermann
Splitting methods constitute a well-established class of numerical schemes for solving convection-diffusion-reaction problems. They have been shown to be effective in solving probl…
How to avoid order reduction in third-order exponential Runge--Kutta methods for problems with non-commutative operators?
Thi Tam Dang, Trung Hau Hoang
This paper investigates the performance of a subclass of exponential integrators, specifically explicit exponential Runge--Kutta methods. It is well known that third-order methods…
Adapted Lie splitting method for convection-diffusion problems with singular convective term
Thi Tam Dang, Trung Hau Hoang, Giandomenico Orlandi
Splitting methods are a widely used numerical scheme for solving convection-diffusion problems. However, they may lose stability in some situations, particularly when applied to co…
Existence for noncoercive nonlinear elliptic equations with two lower-order terms
Thi Tam Dang, Trung Hau Hoang
This paper considers a class of noncoercive nonlinear elliptic problems with coefficients defined in Marcinkiewicz and Lorentz spaces. We prove the existence of a solution for the…
Existence and uniqueness for renormalized solutions to a general noncoercive nonlinear parabolic equation
T. T. Dang, G. Orlandi
This paper introduces the concept of renormalized solution for a general class of non-coercive nonlinear parabolic problems, including both singularities and unbounded lower order…